Fundamentals of Engineering (FE) — Bachelor of Engineering — Questions and Answers

Question 1: What is the purpose of an interrupt in computer systems?

To signal the CPU that an event requiring immediate attention has occurred (Correct answer)
To synchronize multiple CPUs
To halt the CPU permanently until reset
To increase the CPU clock speed temporarily

Correct answer: To signal the CPU that an event requiring immediate attention has occurred

An interrupt is a signal that pauses the CPU's current task, saves its state, and transfers control to an Interrupt Service Routine (ISR) to handle the event, then resumes the original task.

Question 2: Which one of the following has sterdian as its SI unit?

Solid angle (Correct answer)
Mass
Phase angle
Luminous intensity

Correct answer: Solid angle

The term "sterdian" refers to the solid angle that is subtended in the center of a sphere by a surface of the sphere with an area equal to a square and sides that are each equal to the radius of the sphere.

Question 3: What is the SI unit of electric charge?

Ampere
Volt
Coulomb (Correct answer)
Farad

Correct answer: Coulomb

The coulomb (C) is the SI unit of electric charge, equal to the charge transported by a current of one ampere in one second.

Question 4: What does the term 'eutrophication' describe in aquatic environments?

Excessive nutrient enrichment causing algal blooms and oxygen depletion (Correct answer)
The natural aging and infilling of a water body
Acidification of a lake due to acid rain
Saltwater intrusion into freshwater bodies

Correct answer: Excessive nutrient enrichment causing algal blooms and oxygen depletion

Eutrophication occurs when excess nutrients (nitrogen, phosphorus) from agricultural runoff or sewage stimulate excessive algal growth, leading to oxygen depletion and ecosystem damage when algae decompose.

Question 5: Ohm's Law states that voltage equals current multiplied by which quantity?

Resistance (Correct answer)
Impedance
Capacitance
Inductance

Correct answer: Resistance

Ohm's Law (V = IR) states that voltage equals current times resistance for a linear circuit element.

Question 6: Which mix design parameter primarily controls the strength of hardened concrete?

Aggregate gradation
Water-to-cement (w/c) ratio (Correct answer)
Slump value
Cement fineness

Correct answer: Water-to-cement (w/c) ratio

Abrams' law establishes that compressive strength is inversely related to the water-to-cement ratio for fully hydrated concrete.

Question 7: In embedded systems, what is a real-time operating system (RTOS) designed to guarantee?

Maximum processing throughput regardless of timing
Unlimited memory allocation for all tasks
That tasks are completed within defined time deadlines (Correct answer)
The highest possible clock frequency

Correct answer: That tasks are completed within defined time deadlines

An RTOS provides deterministic scheduling to ensure critical tasks meet strict timing deadlines, essential for safety-critical applications like automotive and medical devices.

Question 8: What is a shape memory alloy (SMA)?

An alloy with zero thermal expansion
An alloy that changes color with temperature
A material that returns to a pre-defined shape when heated after being deformed (Correct answer)
A material that conducts electricity only below a certain temperature

Correct answer: A material that returns to a pre-defined shape when heated after being deformed

SMAs (e.g., Nitinol) exploit a reversible martensitic phase transformation: deformed at low temperature, they recover their original shape when heated above the transformation temperature.

Question 9: In polymer science, what is the degree of polymerization?

The number of crosslinks per unit volume
The temperature at which a polymer fully melts
The number of repeating monomer units in a polymer chain (Correct answer)
The ratio of crystalline to amorphous regions in a polymer

Correct answer: The number of repeating monomer units in a polymer chain

The degree of polymerization (DP) is the average number of monomer repeat units per polymer chain, directly related to molecular weight and influencing mechanical and thermal properties.

Question 10: The Mohr-Coulomb failure criterion for soil defines shear strength as:

τ = c × N_c + q × N_q
τ = E × γ
τ = c + σ tan φ (Correct answer)
τ = σ_1 – σ_3

Correct answer: τ = c + σ tan φ

Shear strength equals cohesion (c) plus normal stress (σ) multiplied by the tangent of the internal friction angle (φ).

Question 11: What does the bandwidth of an amplifier represent?

The range of frequencies over which gain is within 3 dB of its midband value (Correct answer)
The total harmonic distortion range
The maximum output voltage swing
The input impedance range

Correct answer: The range of frequencies over which gain is within 3 dB of its midband value

Bandwidth is defined as the frequency range between the lower and upper -3 dB (half-power) points of an amplifier's frequency response.

Question 12: In orbit determination, what is the primary purpose of the state transition matrix?

To propagate the covariance matrix forward in time (Correct answer)
To transform velocity to orbital elements
To compute gravitational perturbations
To convert between coordinate frames

Correct answer: To propagate the covariance matrix forward in time

The state transition matrix maps how uncertainties in the initial state propagate over time, enabling Kalman filter covariance updates.

Question 13: Which data structure uses LIFO (Last In, First Out) order?

Stack (Correct answer)
Queue
Hash Table
Linked List

Correct answer: Stack

A stack follows LIFO order, where the last element pushed onto the stack is the first one popped off, used in function call management and expression evaluation.

Question 14: What is the function of a DMA (Direct Memory Access) controller?

To protect memory from unauthorized access
To compress data stored in RAM
To synchronize CPU clock with memory clock
To transfer data between memory and peripherals without continuous CPU involvement (Correct answer)

Correct answer: To transfer data between memory and peripherals without continuous CPU involvement

A DMA controller handles bulk data transfers between peripherals (e.g., disk, network) and memory directly, freeing the CPU for other tasks during the transfer.

Question 15: In highway design, superelevation is applied to horizontal curves primarily to:

Reduce the pavement thickness requirement
Improve the aesthetic appearance of the roadway
Increase the sight distance around the curve
Counteract the centrifugal force on vehicles negotiating the curve (Correct answer)

Correct answer: Counteract the centrifugal force on vehicles negotiating the curve

Superelevation tilts the roadway cross-section inward so gravity assists in balancing centrifugal acceleration on the curve.

Question 16: In fracture mechanics, what does the stress intensity factor (K) characterize?

The material's resistance to plastic deformation
The total energy stored in a deformed body
The magnitude of stress at the tip of a crack in a material (Correct answer)
The crack propagation speed

Correct answer: The magnitude of stress at the tip of a crack in a material

The stress intensity factor K quantifies the stress field singularity at a crack tip; when K exceeds the material's fracture toughness (K_IC), unstable crack propagation occurs.

Question 17: Which modulation technique is used in WiFi (IEEE 802.11) for high-data-rate transmission?

FM (Frequency Modulation)
ASK (Amplitude Shift Keying)
AM (Amplitude Modulation)
OFDM (Orthogonal Frequency Division Multiplexing) (Correct answer)

Correct answer: OFDM (Orthogonal Frequency Division Multiplexing)

Modern WiFi standards use OFDM, which splits data across many closely spaced orthogonal subcarriers to achieve high throughput and robustness against multipath interference.

Question 18: In the context of GPS navigation, what is dilution of precision (DOP)?

The error introduced by ionospheric signal delay
The difference between GPS and inertial navigation estimates
A geometric factor describing how satellite geometry amplifies ranging errors (Correct answer)
Signal attenuation caused by atmospheric scintillation

Correct answer: A geometric factor describing how satellite geometry amplifies ranging errors

DOP quantifies how the spatial arrangement of visible satellites magnifies individual pseudorange errors into position uncertainty; low DOP means well-spread satellites and better accuracy.

Question 19: What is the difference between thermoplastic and thermoset polymers?

Thermoplastics can be remelted and reshaped; thermosets permanently harden after curing (Correct answer)
Thermosets are always softer than thermoplastics
Thermoplastics cannot be recycled under any conditions
Thermosets have lower melting points than thermoplastics

Correct answer: Thermoplastics can be remelted and reshaped; thermosets permanently harden after curing

Thermoplastics (e.g., polyethylene, nylon) soften when heated and can be remolded repeatedly; thermosets (e.g., epoxy, polyester resin) form irreversible crosslinks when cured and cannot be remelted.

Question 20: Which US regulation governs the storage, treatment, and disposal of hazardous wastes?

Toxic Substances Control Act (TSCA)
Resource Conservation and Recovery Act (RCRA) (Correct answer)
Comprehensive Environmental Response, Compensation, and Liability Act (CERCLA)
Clean Air Act (CAA)

Correct answer: Resource Conservation and Recovery Act (RCRA)

RCRA (1976) establishes a cradle-to-grave regulatory framework for hazardous waste, covering generation, transportation, treatment, storage, and disposal.

Question 21: In a binary liquid-vapor system, what is an azeotrope?

A mixture where both components are completely immiscible
A mixture that cannot be distilled under any conditions
A mixture whose vapor composition equals its liquid composition at a given T and P (Correct answer)
The composition at maximum boiling point for any binary system

Correct answer: A mixture whose vapor composition equals its liquid composition at a given T and P

An azeotrope is a mixture where the vapor and liquid have identical compositions, making separation by ordinary distillation impossible.

Question 22: Which of the following is a primary component of an organic compound?

Carbon, Oxygen and Hydrogen (Correct answer)
Carbon, Oxygen and Nitrogen
Carbon, Oxygen and Sulphur
Carbon, Oxygen and Sulphur

Correct answer: Carbon, Oxygen and Hydrogen

Organic compounds are primarily defined by the presence of carbon atoms, typically bonded to hydrogen atoms. Oxygen is also a very common element found in many organic compounds, forming functional groups like alcohols, aldehydes, ketones, and carboxylic acids. While other elements like nitrogen, sulfur, and halogens can be present, carbon, hydrogen, and oxygen are the most fundamental and prevalent components.

Question 23: What is the crystal structure of most common metals at room temperature called?

Diamond cubic
Amorphous
Face-Centered Cubic (FCC), Body-Centered Cubic (BCC), or Hexagonal Close-Packed (HCP) (Correct answer)
Simple cubic

Correct answer: Face-Centered Cubic (FCC), Body-Centered Cubic (BCC), or Hexagonal Close-Packed (HCP)

Most engineering metals adopt FCC (e.g., aluminum, copper), BCC (e.g., iron, tungsten), or HCP (e.g., titanium, zinc) crystal structures depending on their atomic bonding.

Question 24: Which dimensionless number characterizes the ratio of inertial forces to viscous forces in fluid flow?

Prandtl number
Reynolds number (Correct answer)
Nusselt number
Grashof number

Correct answer: Reynolds number

The Reynolds number (Re = ρvL/μ) is the ratio of inertial to viscous forces and determines whether flow is laminar or turbulent.

Question 25: Which equation describes the pressure drop for incompressible fluid flow through a pipe?

Hagen-Poiseuille restricted to laminar only
Bernoulli equation without friction terms
Darcy-Weisbach equation (Correct answer)
Clausius-Clapeyron equation

Correct answer: Darcy-Weisbach equation

The Darcy-Weisbach equation (ΔP = f·L/D·ρv²/2) applies to both laminar and turbulent incompressible flow in pipes.

Question 26: The primary advantage of using fiber-reinforced polymer (FRP) composites in civil structures is:

Easier welding and field modification
Higher ductility and energy absorption than steel
Lower material cost compared to steel
High strength-to-weight ratio and corrosion resistance (Correct answer)

Correct answer: High strength-to-weight ratio and corrosion resistance

FRP composites offer very high tensile strength at low weight and are immune to corrosion, making them ideal for harsh environments.

Question 27: What is the glass transition temperature (Tg) of a polymer?

The temperature at which a polymer crosslinks
The temperature below which a polymer transitions from a rubbery to a glassy, brittle state (Correct answer)
The temperature at which a polymer begins to oxidize
The temperature at which a polymer melts completely

Correct answer: The temperature below which a polymer transitions from a rubbery to a glassy, brittle state

Below Tg, polymer chain segments lose mobility and the material becomes rigid and brittle (glassy); above Tg, the polymer is rubbery and flexible.

Question 28: In digital circuits, what is the purpose of a flip-flop?

To generate clock signals
To amplify digital signals
To store one bit of data (Correct answer)
To convert serial to parallel data

Correct answer: To store one bit of data

A flip-flop is a bistable memory element that stores a single binary bit and changes state based on clock and input signals.

Question 29: In environmental impact assessment (EIA), what is the purpose of the scoping phase?

To identify the significant issues and potential impacts that should be studied in detail (Correct answer)
To obtain permits from regulatory agencies
To write the final environmental impact report
To implement mitigation measures

Correct answer: To identify the significant issues and potential impacts that should be studied in detail

Scoping defines the boundaries and focus of an EIA by identifying which environmental issues, alternatives, and impacts warrant detailed study, reducing unnecessary analysis.

Question 30: What does a phase diagram for a binary alloy system show?

The electrical conductivity versus composition
The equilibrium phases present at various temperatures and compositions (Correct answer)
The diffusion rate of atoms in the alloy
The mechanical strength as a function of temperature

Correct answer: The equilibrium phases present at various temperatures and compositions

A binary phase diagram maps the stable phases (solid, liquid, or mixtures) present in a two-component system across a range of temperatures and compositions.

Question 31: What is the primary greenhouse gas produced by human activities contributing to climate change?

Oxygen (O₂)
Nitrogen (N₂)
Carbon dioxide (CO₂) (Correct answer)
Argon (Ar)

Correct answer: Carbon dioxide (CO₂)

CO₂ from fossil fuel combustion, deforestation, and industrial processes is the dominant anthropogenic greenhouse gas driving global warming.

Question 32: What is the function of a Phase-Locked Loop (PLL) in communication systems?

To convert analog signals to digital
To amplify weak signals
To synchronize an output signal's phase with a reference input signal (Correct answer)
To filter out noise from the carrier

Correct answer: To synchronize an output signal's phase with a reference input signal

A PLL locks its output oscillator's phase and frequency to match a reference signal, used in clock recovery, frequency synthesis, and demodulation.

Question 33: Which water treatment process removes suspended solids by allowing them to settle under gravity?

Sedimentation (Correct answer)
Disinfection
Filtration
Coagulation

Correct answer: Sedimentation

Sedimentation (clarification) allows suspended particles to settle to the bottom of a basin under gravitational force, removing them from the water.

Question 34: What is the name for the generally constant membrane potential of dormant cells?

cell potential
half-cell potential
action potential
resting membrane potential (Correct answer)

Correct answer: resting membrane potential

The generally constant membrane potential of dormant or unstimulated cells is known as the resting membrane potential. This potential is established and maintained by the differential distribution of ions, primarily sodium, potassium, and chloride, across the cell membrane, along with the selective permeability of the membrane to these ions and the action of ion pumps. It represents the baseline electrical state of an excitable cell.

Question 35: In a drug delivery system, what does 'zero-order release kinetics' mean?

Drug release rate that decreases exponentially as the drug concentration in the carrier drops
Drug release at a constant rate independent of the remaining drug concentration in the device (Correct answer)
Instantaneous release of the entire drug payload upon implantation
Drug release that is triggered only by a specific pH in the surrounding tissue

Correct answer: Drug release at a constant rate independent of the remaining drug concentration in the device

Zero-order kinetics describes a constant drug release rate over time, which is ideal for maintaining a steady therapeutic plasma concentration and avoiding peaks and troughs.

Question 36: The Darcy-Weisbach equation in pipe flow relates head loss to:

Reynolds number, kinematic viscosity, and pipe roughness only
Flow rate, pipe area, and discharge coefficient
Flow velocity, pipe diameter, friction factor, and pipe length (Correct answer)
Pipe material, fluid density, and pipe slope

Correct answer: Flow velocity, pipe diameter, friction factor, and pipe length

Darcy-Weisbach: h_f = f(L/D)(V²/2g), linking friction head loss to the friction factor, pipe length-to-diameter ratio, and velocity head.

Question 37: What is the purpose of heat treatment (annealing) in metal processing?

To weld two metal pieces together
To apply a corrosion-resistant coating
To relieve internal stresses and improve ductility (Correct answer)
To increase hardness rapidly

Correct answer: To relieve internal stresses and improve ductility

Annealing involves heating a metal to a specific temperature and cooling it slowly to relieve internal stresses, refine grain structure, and improve ductility and machinability.

Question 38: Which law of thermodynamics is the foundation for energy conservation?

First law of thermodynamics (Correct answer)
Second law of thermodynamics
Third law of thermodynamics
Zeroth law of thermodynamics

Correct answer: First law of thermodynamics

The First Law of Thermodynamics is the fundamental principle that establishes the conservation of energy. It states that energy cannot be created or destroyed in an isolated system, only transformed from one form to another. This law forms the basis for all energy balance calculations in engineering and physics, ensuring that the total energy of a system and its surroundings remains constant.

Question 39: Impedance pneumography is a method frequently employed to keep track of a person's .

pulse rate
skin impedance
respiration rate (Correct answer)
heart rate

Correct answer: respiration rate

Impedance pneumography is a non-invasive technique that measures changes in electrical impedance across the chest. As a person breathes, the volume of air in the lungs changes, altering the electrical conductivity of the chest cavity. These impedance changes are directly correlated with the expansion and contraction of the lungs, making it an effective method for monitoring respiration rate.

Question 40: In a series RLC circuit at resonance, what is true about the impedance?

Impedance is at its maximum
Impedance equals inductance
Impedance is at its minimum (Correct answer)
Impedance is zero

Correct answer: Impedance is at its minimum

At resonance in a series RLC circuit, the inductive and capacitive reactances cancel, leaving only resistance, so impedance is minimized.

Question 41: In soil remediation, what does 'pump and treat' refer to?

Adding nutrients to stimulate microbial degradation
Extracting contaminated groundwater, treating it above ground, and reinjecting or disposing of it (Correct answer)
Physically excavating and removing contaminated soil
Injecting steam into soil to volatilize contaminants

Correct answer: Extracting contaminated groundwater, treating it above ground, and reinjecting or disposing of it

Pump-and-treat extracts contaminated groundwater via wells, treats it using activated carbon, air stripping, or other methods above ground, then discharges or reinjects the clean water.

Question 42: Which physiological parameter does pulse oximetry non-invasively estimate?

Partial pressure of arterial carbon dioxide (PaCO₂)
Blood pH
Cardiac output (CO)
Arterial oxygen saturation (SpO₂) (Correct answer)

Correct answer: Arterial oxygen saturation (SpO₂)

Pulse oximetry uses two wavelengths of light (red and infrared) to measure the differential absorption by oxyhemoglobin and deoxyhemoglobin, providing a non-invasive estimate of arterial oxygen saturation.

Question 43: What is Biochemical Oxygen Demand (BOD) a measure of?

The concentration of dissolved oxygen in water
The pH level of industrial effluent
The total nitrogen content of wastewater
The amount of oxygen microorganisms need to decompose organic matter in water (Correct answer)

Correct answer: The amount of oxygen microorganisms need to decompose organic matter in water

BOD measures the quantity of oxygen consumed by biological processes breaking down organic material in water at a given temperature over a set time period (typically 5 days at 20°C).

Question 44: Which type of stress acts perpendicular to the cross-sectional area of a member?

Shear stress
Torsional stress
Bearing stress
Normal stress (Correct answer)

Correct answer: Normal stress

Normal stress (σ = F/A) acts perpendicular (normal) to the cross-section, either as tension (pulling) or compression (pushing).

Question 45: Which of the ensuing pairings is correctly matched?

Class A – Concrete work
Class D – White washing
Class B – Mortar (Correct answer)
Class C – Masonry work

Correct answer: Class B – Mortar

Class B lime is specifically known as semi-hydraulic lime, which possesses properties suitable for masonry mortars and plasters. It sets slowly in air and also under water, providing good workability and strength for these construction applications. This classification helps distinguish it from other lime types used for different purposes, such as Class A for finishing or Class D for structural work.

Question 46: The highest temperature attained when coal burns totally in air is referred to as .

net calorific value
calorific value of coal
calorific intensity of coal (Correct answer)
gross calorific value

Correct answer: calorific intensity of coal

Calorific value of coal is the quantity of heat released during complete combustion of fuel. Gross calorific value, often known as HCV, is the total amount of heat released when fuel and byproducts are burned. The total amount of heat released following fuel combustion and product emissions is known as the net calorific value. The calorific intensity of coal determines the highest temperature that can be reached.

Question 47: In a three-phase power system, what is the phase difference between each phase voltage?

90 degrees
60 degrees
120 degrees (Correct answer)
180 degrees

Correct answer: 120 degrees

In a balanced three-phase system, the three sinusoidal voltages are each displaced by 120 degrees from one another.

Question 48: In finite element analysis (FEA) of a bone implant, what does 'mesh convergence' testing verify?

That refining the mesh (increasing element count) no longer significantly changes the stress results (Correct answer)
That the material properties assigned to bone elements match published literature values
That boundary conditions applied at the bone-implant interface are physically realistic
That the solver has correctly applied linear versus nonlinear material models

Correct answer: That refining the mesh (increasing element count) no longer significantly changes the stress results

Mesh convergence testing involves progressively refining the finite element mesh and comparing results; when further refinement produces negligible change in the stress or displacement solution, the mesh is considered converged and the results are reliable.

Question 49: Raoult's law is applicable to which type of liquid mixture?

Mixtures near the critical point only
Ideal mixtures where component interactions are similar (Correct answer)
Immiscible liquid systems
Highly non-ideal mixtures with strong intermolecular forces

Correct answer: Ideal mixtures where component interactions are similar

Raoult's law (pᵢ = xᵢPᵢ*) applies to ideal solutions where all molecules interact with similar forces regardless of composition.

Question 50: Which theorem states that any linear two-terminal network can be replaced by an equivalent voltage source in series with an impedance?

Thevenin's Theorem (Correct answer)
Superposition Theorem
Kirchhoff's Theorem
Norton's Theorem

Correct answer: Thevenin's Theorem

Thevenin's Theorem allows simplification of complex linear circuits into a single voltage source (Vth) in series with an equivalent resistance (Rth).

Question 51: The power factor of a purely resistive AC circuit is:

0.5
0
1 (Correct answer)
Infinity

Correct answer: 1

A purely resistive circuit has a power factor of 1 because voltage and current are in phase, so all power is real power.

Question 52: What is the primary purpose of activated sludge in wastewater treatment?

To use microorganisms to biologically degrade dissolved organic matter (Correct answer)
To chemically precipitate heavy metals
To neutralize acidic wastewater
To filter suspended solids through a membrane

Correct answer: To use microorganisms to biologically degrade dissolved organic matter

The activated sludge process introduces air into wastewater mixed with a dense microbial community, enabling aerobic bacteria to metabolize and remove dissolved organic pollutants.

Question 53: In electrical machines, what is slip in an induction motor?

The mechanical power lost to friction
The voltage drop across the stator resistance
The difference between synchronous speed and rotor speed, expressed as a fraction of synchronous speed (Correct answer)
The phase difference between stator currents

Correct answer: The difference between synchronous speed and rotor speed, expressed as a fraction of synchronous speed

Slip (s) = (Ns - Nr) / Ns, where Ns is synchronous speed and Nr is rotor speed; it quantifies how much the rotor lags behind the rotating magnetic field.

Question 54: In a DC circuit, three resistors of 6 Ω, 3 Ω, and 2 Ω are connected in parallel. What is the equivalent resistance?

0.5 Ω
3 Ω
11 Ω
1 Ω (Correct answer)

Correct answer: 1 Ω

1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1, so R_eq = 1 Ω.

Question 55: What is Fick's First Law of diffusion in materials science?

The diffusion flux is proportional to the concentration gradient (J = -D dC/dx) (Correct answer)
Atoms diffuse only along grain boundaries
The diffusion rate doubles with every 10°C temperature increase
Diffusivity is independent of temperature

Correct answer: The diffusion flux is proportional to the concentration gradient (J = -D dC/dx)

Fick's First Law states J = -D(dC/dx), where J is diffusion flux, D is diffusivity, and dC/dx is the concentration gradient; flux is proportional to and opposite in direction to the gradient.

Question 56: In traffic engineering, Level of Service (LOS) 'F' on a signalized intersection means:

Stable flow with acceptable delay under 35 seconds
Near-capacity operation with long queues
Free-flow conditions with minimal delay
Breakdown flow with demand exceeding capacity (Correct answer)

Correct answer: Breakdown flow with demand exceeding capacity

LOS F represents forced or breakdown flow where arrival demand exceeds intersection capacity, causing overflow queues and unacceptable delay.

Question 57: In ceramics, what causes brittleness compared to metals?

The high density of grain boundaries
The dominance of ionic and covalent bonds that prevent dislocation movement (Correct answer)
The large grain size in crystalline ceramics
The presence of glassy phases at grain boundaries

Correct answer: The dominance of ionic and covalent bonds that prevent dislocation movement

Ceramic brittleness arises because ionic and covalent bonds are directional and strong, preventing the dislocation slip that allows metals to deform plastically before fracturing.

Question 58: In a biomedical signal, 'aliasing' occurs when the sampling frequency is:

Less than twice the highest frequency component of the signal (below Nyquist rate) (Correct answer)
Greater than twice the highest frequency component of the signal (above Nyquist rate)
Equal to the frequency of the dominant signal component
Greater than the signal amplitude in volts

Correct answer: Less than twice the highest frequency component of the signal (below Nyquist rate)

According to the Nyquist-Shannon sampling theorem, if the sampling frequency is less than twice the signal's highest frequency, high-frequency components are misrepresented as lower-frequency artifacts called aliases.

Question 59: The term ∇.V in the equation ∇.V=1/ v*D (v)/Dt is .

change in velocity
volume
velocity as a function of time
divergence of velocity (Correct answer)

Correct answer: divergence of velocity

In vector calculus, the operator ∇.V represents the divergence of the velocity vector field V. Divergence measures the rate at which a vector field's flux density exits an infinitesimal volume at a given point. In fluid dynamics, the divergence of velocity quantifies the volumetric expansion or compression of a fluid element, as shown in the given continuity equation for compressible flow.

Question 60: Which renewable energy source generates electricity by harnessing the kinetic energy of wind?

Hydroelectric dam
Solar photovoltaic panel
Geothermal plant
Wind turbine (Correct answer)

Correct answer: Wind turbine

Wind turbines convert the kinetic energy of moving air into rotational mechanical energy, which drives a generator to produce electricity.

Question 61: The 'bullwhip effect' in supply chain management describes:

The amplification of demand variability as orders move upstream from retailer to manufacturer to supplier (Correct answer)
Supply chain collapse caused by major economic recessions
Disruptions caused by extreme weather events on logistics networks
Cyclical price swings in commodity markets affecting raw material costs

Correct answer: The amplification of demand variability as orders move upstream from retailer to manufacturer to supplier

The bullwhip effect occurs because each upstream tier in the supply chain over-reacts to downstream demand signals, causing progressively larger order swings — like the tip of a whip amplifying small wrist movements.

Question 62: What is the purpose of a flyback diode in a DC motor circuit?

To filter AC ripple
To protect against voltage spikes when the motor turns off (Correct answer)
To increase motor speed
To regulate supply voltage

Correct answer: To protect against voltage spikes when the motor turns off

A flyback (freewheeling) diode clamps the voltage spike generated by the motor's inductance when current is suddenly interrupted, protecting circuit components.

Question 63: In thermodynamics, a Carnot cycle operating between 600 K and 300 K has a maximum theoretical efficiency of:

33%
75%
50% (Correct answer)
25%

Correct answer: 50%

Carnot efficiency = 1 − T_cold/T_hot = 1 − 300/600 = 0.50 or 50%.

Question 64: What is the mechanism of corrosion in metals involving an electrochemical reaction?

A thermal decomposition of the metal's crystal lattice
An oxidation reaction at the anode and a reduction reaction at the cathode in the presence of an electrolyte (Correct answer)
A direct chemical reaction between the metal and oxygen only
A physical erosion of the metal surface by fluid flow

Correct answer: An oxidation reaction at the anode and a reduction reaction at the cathode in the presence of an electrolyte

Electrochemical corrosion occurs when a galvanic cell forms: the anodic metal oxidizes (loses electrons) while cathodic reduction occurs at another site, with ions transported through the electrolyte.

Question 65: In chemical kinetics, what does a second-order reaction with respect to reactant A mean?

The rate is proportional to the square of A's concentration (Correct answer)
A reacts in two separate steps
Two moles of A are produced per reaction
The rate doubles when temperature doubles

Correct answer: The rate is proportional to the square of A's concentration

A second-order reaction in A means the rate law is r = k[A]², so doubling [A] quadruples the reaction rate.

Question 66: What is the purpose of a sacrificial anode in cathodic protection?

To corrode preferentially in place of the protected metal structure (Correct answer)
To apply an external current to stop corrosion
To coat the metal surface with an inert layer
To increase the pH around the metal surface

Correct answer: To corrode preferentially in place of the protected metal structure

A sacrificial anode (e.g., zinc or magnesium) is more anodic than the protected structure; it corrodes instead, supplying electrons that make the structure cathodic and immune to corrosion.

Question 67: In computer-aided design (CAD), what does a Boolean subtraction operation produce?

The intersection volume of two solids
The union of two solids
A surface mesh from a solid
One solid with material removed where another solid intersects (Correct answer)

Correct answer: One solid with material removed where another solid intersects

Boolean subtraction removes the volume of one solid from another, useful for creating holes, slots, and cutouts in 3D models.

Question 68: In biomedical optics, the 'therapeutic window' refers to the range of wavelengths that:

Penetrate tissue most deeply due to minimal absorption by water, hemoglobin, and melanin (Correct answer)
Are used exclusively for UV sterilization of medical instruments
Cause maximal absorption in the retina for photodynamic therapy
Are optimal for fluorescence microscopy of fixed histological sections

Correct answer: Penetrate tissue most deeply due to minimal absorption by water, hemoglobin, and melanin

The near-infrared therapeutic window (~650–1350 nm) is the spectral region where tissue scattering and absorption by major chromophores (water, oxy/deoxyhemoglobin, melanin) are minimized, allowing the deepest light penetration.

Question 69: What is the primary advantage of using hydroxyapatite (HA) as a coating on orthopedic implants?

It acts as an antibiotic carrier to prevent peri-implant infection
Its chemical similarity to bone mineral promotes osseointegration and bone bonding (Correct answer)
It provides a lubricious surface that reduces friction at articulating interfaces
It increases the electrical conductivity of the implant to stimulate bone growth electrically

Correct answer: Its chemical similarity to bone mineral promotes osseointegration and bone bonding

Hydroxyapatite is chemically and structurally similar to the mineral phase of bone, and its use as a coating promotes direct bone apposition and biological fixation (osseointegration) without fibrous tissue interposition.

Question 70: In control systems, the steady-state error for a unit ramp input applied to a Type-1 system equals:

1/Ka
1/Kv (Correct answer)
Zero
Infinity

Correct answer: 1/Kv

A Type-1 system has one integrator; its steady-state ramp error is 1/Kv where Kv is the velocity error constant.

Question 71: What is the primary purpose of a snubber circuit in power electronics?

To limit voltage and current transients across switching devices (Correct answer)
To increase switching frequency
To filter the DC bus
To boost output power

Correct answer: To limit voltage and current transients across switching devices

Snubber circuits suppress voltage spikes and reduce dv/dt across power switches like IGBTs and thyristors, protecting them from damage.

Question 72: Which of the following is an ECG acquisition system that is wireless?

limb electrodes
pasteless electrodes
smart pad (Correct answer)
pregelled disposable electrodes

Correct answer: smart pad

A smart pad, in the context of ECG acquisition, refers to a modern device or system that integrates electrodes and wireless transmission capabilities. Unlike traditional limb electrodes or pregelled electrodes which require wired connections to a separate acquisition unit, a smart pad can wirelessly transmit ECG data to a monitoring device. This offers greater patient mobility and convenience for continuous monitoring.

Question 73: In air pollution control, what does a baghouse filter remove from industrial exhaust?

Sulfur dioxide gas
Volatile organic compounds
Particulate matter (dust and fine particles) (Correct answer)
Carbon monoxide

Correct answer: Particulate matter (dust and fine particles)

A baghouse uses fabric filter bags to capture particulate matter from industrial exhaust gas streams, achieving high collection efficiencies for fine particles.

Question 74: Which logic gate produces a HIGH output only when all inputs are HIGH?

XOR
OR
NAND
AND (Correct answer)

Correct answer: AND

The AND gate outputs HIGH (1) only when every input is HIGH (1); any LOW input produces a LOW output.

Question 75: In the US, which federal law primarily regulates the discharge of pollutants into navigable waters?

Resource Conservation and Recovery Act (RCRA)
Clean Water Act (CWA) (Correct answer)
Clean Air Act (CAA)
Safe Drinking Water Act (SDWA)

Correct answer: Clean Water Act (CWA)

The Clean Water Act (1972) establishes the framework for regulating pollutant discharges into US waters and sets water quality standards for surface waters.

Question 76: Which parameter is conserved along a streamline in inviscid, adiabatic flow according to Bernoulli's equation for compressible flow?

Total (stagnation) enthalpy (Correct answer)
Mach number
Dynamic pressure
Static pressure

Correct answer: Total (stagnation) enthalpy

For inviscid adiabatic flow, total enthalpy h0 = h + V²/2 is constant along a streamline, which generalizes Bernoulli's equation to compressible flows.

Question 77: In Six Sigma methodology, the DMAIC improvement cycle stands for:

Design, Measure, Analyze, Improve, Control
Define, Monitor, Assess, Integrate, Complete
Design, Model, Analyze, Implement, Check
Define, Measure, Analyze, Improve, Control (Correct answer)

Correct answer: Define, Measure, Analyze, Improve, Control

DMAIC is the structured Six Sigma improvement framework: Define the problem, Measure the current process, Analyze root causes, Improve the process, and Control the gains.

Question 78: What is the function of a cyclone separator in industrial air pollution control?

To absorb gaseous pollutants in a liquid scrubber
To burn combustible pollutants at high temperature
To filter gases through activated carbon
To use centrifugal force to separate particles from a gas stream (Correct answer)

Correct answer: To use centrifugal force to separate particles from a gas stream

A cyclone separator spins the gas stream, creating centrifugal force that drives heavier particles to the wall and down into a collection hopper, separating them from the cleaned gas.

Question 79: Which of the following best describes an op-amp in an inverting configuration?

The input impedance is zero
The output is 180 degrees out of phase with the input (Correct answer)
The output equals the input voltage
The gain is always unity

Correct answer: The output is 180 degrees out of phase with the input

In an inverting op-amp configuration, the output signal is amplified and phase-shifted by 180 degrees relative to the input signal.

Question 80: In the context of the Hodgkin-Huxley model, what do the variables 'm', 'h', and 'n' represent?

Maximum conductance values for sodium, potassium, and chloride
Myelination factor, saltatory conduction velocity, and node density
Activation and inactivation gating variables for Na⁺ channels and activation gating for K⁺ channels (Correct answer)
Membrane capacitance, ion channel resistance, and leak conductance

Correct answer: Activation and inactivation gating variables for Na⁺ channels and activation gating for K⁺ channels

In the Hodgkin-Huxley model, 'm' and 'h' are voltage- and time-dependent gating variables governing sodium channel activation and inactivation, respectively, while 'n' governs potassium channel activation.

Question 81: Which type of semiconductor device is commonly used as a voltage regulator in simple circuits?

Schottky diode
Zener diode (Correct answer)
Tunnel diode
PIN diode

Correct answer: Zener diode

A Zener diode maintains a nearly constant voltage across its terminals when reverse biased beyond its breakdown voltage, making it ideal for voltage regulation.

Question 82: What is the Vickers Hardness Test used to measure?

A material's thermal conductivity
A material's resistance to fracture
A material's resistance to permanent deformation by indentation (Correct answer)
A material's tensile strength

Correct answer: A material's resistance to permanent deformation by indentation

The Vickers hardness test presses a pyramid-shaped diamond indenter into the material surface under a defined load and measures the size of the resulting indentation to calculate hardness (HV).

Question 83: In noise pollution control, what does a decibel (dB) measure?

The frequency of sound waves in hertz
The speed of sound in a medium
The relative intensity of sound on a logarithmic scale (Correct answer)
The wavelength of a sound wave

Correct answer: The relative intensity of sound on a logarithmic scale

The decibel scale expresses sound pressure level as a logarithmic ratio relative to a reference level (20 μPa), allowing the vast range of human-audible intensities to be expressed compactly.

Question 84: What is the primary health risk associated with lead contamination in drinking water?

Neurological damage, especially in children (Correct answer)
Liver failure in adults
Skin cancer
Respiratory disease

Correct answer: Neurological damage, especially in children

Lead is a potent neurotoxin; even low-level exposure causes irreversible cognitive and behavioral damage in children, affecting IQ, attention, and academic performance.

Question 85: What is the purpose of anodizing aluminum?

To apply a paint coating for aesthetics
To grow a thick, hard oxide layer on the surface for improved corrosion and wear resistance (Correct answer)
To heat treat the aluminum to increase ductility
To remove surface impurities by electrochemical etching

Correct answer: To grow a thick, hard oxide layer on the surface for improved corrosion and wear resistance

Anodizing electrochemically grows a controlled, thick aluminum oxide (Al₂O₃) layer on the aluminum surface, greatly improving corrosion resistance, hardness, and the ability to absorb dye.

Question 86: What is the primary purpose of a weir in a water supply or irrigation system?

To filter sediment from water
To remove dissolved salts from water
To measure or regulate flow and raise the upstream water level (Correct answer)
To pump water to elevated storage tanks

Correct answer: To measure or regulate flow and raise the upstream water level

A weir is an overflow structure used to regulate water flow, measure discharge, and maintain upstream head.

Question 87: What is a composite material?

A material made from two or more constituent materials with different properties that produce a material with superior characteristics (Correct answer)
A polymer with a high degree of crosslinking
A material produced by alloying two metals
A ceramic material fired at extremely high temperature

Correct answer: A material made from two or more constituent materials with different properties that produce a material with superior characteristics

Composites combine a reinforcement (e.g., carbon fiber, glass fiber) within a matrix (e.g., polymer resin, metal) to achieve properties neither component possesses alone, such as high strength-to-weight ratio.

Question 88: Which of the following qualifies as a state function?

Entropy (Correct answer)
Heat
Work
None of the mentioned

Correct answer: Entropy

In thermodynamics, a state function (or point function) is a property of a system that depends only on the current state of the system, not on the path taken to reach that state. Work and heat are path functions, meaning their values depend on the process undergone. Entropy, however, is a state function, representing the degree of randomness or disorder in a system at a given state.

Question 89: What does a transformer primarily use to transfer energy between circuits?

Direct conduction
Mutual inductance (Correct answer)
Capacitive coupling
Resistive coupling

Correct answer: Mutual inductance

A transformer transfers electrical energy between circuits via mutual inductance through a shared magnetic core.

Question 90: What is the purpose of alloying in metals?

To make metals transparent
To reduce the melting point to near room temperature
To improve mechanical properties such as strength, hardness, or corrosion resistance (Correct answer)
To eliminate electrical conductivity

Correct answer: To improve mechanical properties such as strength, hardness, or corrosion resistance

Alloying adds one or more elements to a base metal to alter its microstructure and enhance properties like strength, ductility, toughness, or corrosion resistance.

Question 91: What is the purpose of a pressure relief valve in a hydraulic system?

To limit system pressure to a safe maximum value (Correct answer)
To filter contaminants from hydraulic fluid
To maintain constant flow rate
To convert pressure energy to kinetic energy

Correct answer: To limit system pressure to a safe maximum value

A pressure relief valve opens automatically when system pressure exceeds a set point, diverting flow to prevent damage to pumps, valves, and other components.

Question 92: What is the ozone layer's role in protecting Earth?

To absorb harmful ultraviolet (UV) radiation from the Sun (Correct answer)
To regulate global temperature by trapping infrared radiation
To prevent cosmic ray bombardment
To supply oxygen for breathing at high altitudes

Correct answer: To absorb harmful ultraviolet (UV) radiation from the Sun

The stratospheric ozone layer (O₃) absorbs 97–99% of the Sun's harmful UV-B and UV-C radiation, preventing it from reaching Earth's surface and causing skin cancer and ecosystem damage.

Question 93: What is the difference between RISC and CISC processor architectures?

CISC processors are always faster than RISC
RISC uses simple, fixed-length instructions executed in one cycle; CISC uses complex, variable-length instructions (Correct answer)
RISC and CISC refer to memory types, not processor design
RISC uses more transistors than CISC

Correct answer: RISC uses simple, fixed-length instructions executed in one cycle; CISC uses complex, variable-length instructions

RISC (Reduced Instruction Set Computer) processors use a small set of simple, fixed-format instructions for fast execution, while CISC (Complex Instruction Set Computer) processors use many complex, variable-length instructions.

Question 94: In process design, a 'pinch point' in a heat exchanger network represents:

The point where the hot and cold composite curves approach most closely (minimum ΔT) (Correct answer)
The operating pressure limit of the heat exchanger
The optimal reflux ratio in a distillation system
The location of maximum pressure drop

Correct answer: The point where the hot and cold composite curves approach most closely (minimum ΔT)

The pinch point is where the hot and cold composite curves on a T-H diagram have the minimum temperature approach, setting the minimum utility requirements.

Question 95: What is the significance of the L/D ratio in gliding flight performance?

It sets the stall speed of the aircraft
It controls the rate of turn in banked flight
It determines the maximum glide range for a given altitude (Correct answer)
It equals the glide angle in degrees

Correct answer: It determines the maximum glide range for a given altitude

The maximum L/D ratio directly equals the maximum range-to-altitude ratio in a glide, so a higher L/D means the aircraft travels farther per unit altitude lost.

Question 96: Which astrodynamics concept describes the transfer between two circular orbits using the minimum total delta-V?

Hohmann transfer (Correct answer)
Bi-elliptic transfer
Gravity assist maneuver
Patched conic approximation

Correct answer: Hohmann transfer

The Hohmann transfer uses two engine burns at opposite ends of an elliptical transfer orbit and is delta-V optimal for most orbit-raising scenarios.

Question 97: In probability and statistics, which distribution is most appropriate for modeling the number of defects per unit area in a manufacturing process?

Binomial distribution
Normal distribution
Exponential distribution
Poisson distribution (Correct answer)

Correct answer: Poisson distribution

The Poisson distribution models the count of rare, independent events occurring over a fixed interval of time or space, such as defects per unit area.

Question 98: What is the purpose of age hardening (precipitation hardening) in aluminum alloys?

To reduce brittleness at low temperatures
To eliminate residual stresses after machining
To improve electrical conductivity
To increase strength by forming fine precipitates that impede dislocation movement (Correct answer)

Correct answer: To increase strength by forming fine precipitates that impede dislocation movement

Precipitation hardening involves solution heat treatment, quenching, and controlled aging to form fine dispersed precipitates within the matrix, which block dislocation motion and increase yield strength.

Question 99: The continuity equation has a connection to .

Mass conservation (Correct answer)
Momentum conservation
Energy conservation
Velocity change

Correct answer: Mass conservation

The continuity equation is a fundamental principle in fluid dynamics that expresses the conservation of mass. It states that for a steady flow, the mass flow rate entering a control volume must equal the mass flow rate leaving it, or more generally, the rate of change of mass within a control volume is equal to the net mass flow rate across its boundaries. This principle ensures that mass is neither created nor destroyed within the system.

Question 100: What does PID stand for in control systems?

Proportional-Integral-Derivative (Correct answer)
Proportional-Inductive-Digital
Phase-Impedance-Damping
Power-Input-Driver

Correct answer: Proportional-Integral-Derivative

A PID controller combines proportional, integral, and derivative terms to minimize error and achieve stable, accurate control of a system.

Question 101: Which failure theory is most appropriate for predicting yielding in ductile metals under multiaxial stress?

Maximum strain theory
Maximum shear stress (Tresca) theory (Correct answer)
Maximum normal stress theory
Mohr's rupture theory

Correct answer: Maximum shear stress (Tresca) theory

The Tresca (maximum shear stress) theory and von Mises theory are both well-suited for ductile metals; Tresca is more conservative and widely used in pressure vessel design.

Question 102: What is the purpose of a landfill liner in solid waste management?

To prevent leachate from contaminating underlying soil and groundwater (Correct answer)
To capture methane gas for energy recovery
To reduce the volume of waste
To accelerate decomposition of waste

Correct answer: To prevent leachate from contaminating underlying soil and groundwater

Landfill liners (typically HDPE geomembrane and compacted clay) create an impermeable barrier that prevents toxic leachate from migrating into groundwater.

Question 103: In computer networks, what is the purpose of subnetting?

To encrypt data transmitted across a network
To connect two different network protocols
To divide a large network into smaller, more manageable sub-networks (Correct answer)
To increase the total number of available IP addresses

Correct answer: To divide a large network into smaller, more manageable sub-networks

Subnetting partitions an IP network into smaller logical sub-networks to improve performance, security, and IP address management efficiency.

Question 104: Buffer amplifier transforms

ac impedance signals to dc impedance signals
dc impedance signals to ac impedance signals
low impedance signals to high impedance signals
high impedance signals to low impedance signals (Correct answer)

Correct answer: high impedance signals to low impedance signals

A buffer amplifier, also known as a voltage follower, has a very high input impedance and a low output impedance. Its primary role is to isolate a source from a load, preventing the load from drawing excessive current from the source. This transformation is crucial for measuring high-impedance biological signals without loading the source and distorting the signal.

Question 105: What distinguishes amorphous materials from crystalline materials?

Amorphous materials are always harder than crystalline ones
Crystalline materials have lower melting points
Amorphous materials conduct electricity better
Amorphous materials lack long-range atomic order; crystalline materials have periodic atomic arrangement (Correct answer)

Correct answer: Amorphous materials lack long-range atomic order; crystalline materials have periodic atomic arrangement

Crystalline materials (e.g., metals, most ceramics) have atoms arranged in a repeating lattice structure, while amorphous materials (e.g., glass, most polymers) have random, disordered atomic arrangement.

Question 106: What is cavitation in fluid machinery?

The buildup of air pockets in pipelines
The turbulent mixing of two fluid streams
The formation and violent collapse of vapor bubbles due to local pressure dropping below vapor pressure (Correct answer)
The erosion of pump impellers by high-velocity flow

Correct answer: The formation and violent collapse of vapor bubbles due to local pressure dropping below vapor pressure

Cavitation occurs when local static pressure falls below the fluid's vapor pressure, causing vapor bubbles to form and collapse violently, damaging components.

Question 107: In statistical process control (SPC), a p-chart is used to monitor:

The average value of a continuous quality characteristic within subgroups
The total number of defects per unit of product
The range of measurements within each sample subgroup
The proportion of nonconforming (defective) items in successive samples (Correct answer)

Correct answer: The proportion of nonconforming (defective) items in successive samples

The p-chart tracks the fraction or proportion of nonconforming items in samples over time to detect shifts in the process defect rate.

Question 108: The electric potential difference coming from the live tissues or cells is indicated by deep-seated electrodes.

inside (Correct answer)
adjacent
outside
around

Correct answer: inside

Deep-seated electrodes are designed to measure electrical activity from structures located deep within the body. Therefore, they detect potential differences originating from *inside* the live tissues or cells, rather than on their surface or periphery. This allows for the study of internal organ function, such as brain activity using intracranial electrodes.

Question 109: What is the Hall-Petch relationship in materials science?

Hardness decreases with increasing grain boundary area
Ductility improves with coarser grain size
The yield strength of a metal increases as grain size decreases (Correct answer)
Fatigue life is inversely proportional to grain size

Correct answer: The yield strength of a metal increases as grain size decreases

The Hall-Petch equation (σy = σ₀ + k/√d) shows yield strength increases as grain size (d) decreases, because more grain boundaries impede dislocation motion.

Question 110: What is the purpose of chlorination in drinking water treatment?

To remove dissolved minerals and hardness
To reduce turbidity and suspended solids
To disinfect water by killing pathogens such as bacteria and viruses (Correct answer)
To adjust the pH of the water

Correct answer: To disinfect water by killing pathogens such as bacteria and viruses

Chlorination adds chlorine to water to destroy harmful microorganisms including bacteria, viruses, and protozoa, making the water safe for human consumption.

Question 111: In chemical engineering, what does the term 'selectivity' refer to in a chemical reactor?

The speed at which the reaction reaches equilibrium
The ratio of desired product formed to undesired product formed (Correct answer)
The temperature sensitivity of the reaction rate
The fraction of feed converted to any product

Correct answer: The ratio of desired product formed to undesired product formed

Selectivity measures how much of the reacted feed goes to the desired product versus unwanted byproducts, distinguishing it from conversion which only measures reactant consumption.

Question 112: What is the primary mechanism by which reverse osmosis (RO) purifies water?

Using UV light to destroy pathogens
Heating water to evaporate and recondense it
Applying pressure to force water through a semi-permeable membrane that rejects dissolved contaminants (Correct answer)
Adding chemicals that bind and precipitate impurities

Correct answer: Applying pressure to force water through a semi-permeable membrane that rejects dissolved contaminants

RO applies hydraulic pressure greater than osmotic pressure to push water through a dense membrane, which rejects ions, heavy metals, and dissolved solids while allowing water molecules to pass.

Fundamentals of Engineering (FE) — Bachelor of Engineering

The NCEES Fundamentals of Engineering (FE) exam is the first step toward professional engineering (PE) licensure for BE/B.Eng graduates, testing core engineering principles across disciplines including electrical, environmental, materials, and chemical engineering.

110

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320 min

Time Limit

70%

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