AP PGECET 2024 Nano Technology Question Paper with Answer Key PDF

Updated 3+ months ago

AP PGECET 2024 Nano Technology Question Paper is available for download here. Sri Venkateswara University, Tirupati on behalf of APSCHE conducted AP PGECET 2024 Nano Technology on May 31 in Shift 2 from 2.30 PM to 4.30 PM. AP PGECET Question Paper 2024 consists of 120 MCQ-based questions in total carrying 1 mark each to be attempted in the duration of 2 hours.

AP PGECET 2024 Nano Technology Question Paper with Answer Key PDF

AP PGECET 2024 Nano Technology Question Paper with Answer Key	Download	Check Solution

AP PGECET 2024 Nano Technology

Question 1:

When several forces act at a point and their vector sum is zero, the forces are said to be

(1) Balanced
(2) Unbalanced
(3) Non-concurrent
(4) Concurrent

View Solution

Question 2:

The centroid of a composite plane figure is found by

(1) Dividing the sum of the areas by the sum of their centroids
(2) Dividing the sum of the moments of the areas about an axis by the total area
(3) Adding the centroids of individual figures
(4) Multiplying the total area by the sum of centroids

View Solution

Question 3: The theorem relates the moment of inertia about any axis to the moment of inertia about a parallel axis through the centroid?

(1) Perpendicular axis theorem
(2) Parallel axis theorem
(3) Axis of symmetry theorem
(4) Centroidal axis theorem

View Solution

Question 4: Polar moment of inertia is used primarily for calculating the stresses in

(1) Bending
(2) Torsion
(3) Shear
(4) Compression

View Solution

Question 5: The equation F=kx describes a force that is

(1) Inversely proportional to displacement
(2) Directly proportional to displacement
(3) Independent of displacement
(4) Equal to displacement

View Solution

Question 6: D'Alembert's Principle is used to

(1) Convert dynamic problems into static problems
(2) Solve fluid dynamics problems
(3) Analyze chemical reaction dynamics
(4) Study heat transfer

View Solution

Question 7: Impulse can be defined as

(1) The change in momentum
(2) The rate of change of momentum
(3) A constant force applied over a distance
(4) Energy transferred over time

View Solution

Question 8: Which type of motion does a rigid body undergo about a fixed axis?

(1) Translational
(2) Rotational
(3) Elliptical
(4) Random

View Solution

Question 9: Mohr's Circle is used to

(1) Determine principal stresses and strains
(2) Calculate bending moments
(3) Analyze fluid flow
(4) Measure thermal expansion

View Solution

Question 10: The bending moment diagram represents

(1) The cumulative effect of external loads as a function of position along the element
(2) The direct measure of material strength
(3) The displacement of a beam under load
(4) The shear force distribution along the beam

View Solution

Question 11: Which of the following is not a type of support in structural analysis?

(1) Fixed support
(2) Roller support
(3) Pinned support
(4) Elastic support

View Solution

Question 12: Shearing force in a beam tends to cause

(1) Compression
(2) Tension
(3) Bending
(4) Sliding

View Solution

Question 13: The concept of mass moment of inertia is significant in the analysis of

(1) Fluid flow
(2) Heat transfer
(3) Rotational dynamics
(4) Electrical circuits

View Solution

Question 14: Torsion in circular shafts is analyzed to determine

(1) Bending moments
(2) Shear stresses
(3) Compressive stresses
(4) Tensile stresses

View Solution

Question 15: Principal stresses occur where the shear stress is

(1) Maximum
(2) Minimum
(3) Zero
(4) Constant

View Solution

Question 16: If three forces acting in equilibrium at a point are 3 N, 4 N, and 5 N, the angle between the 3 N and 4 N forces is closest to:

(1) 36.87 degrees
(2) 53.13 degrees
(3) 90 degrees
(4) 120 degrees

View Solution

Question 17: The centroid of a rectangle of height h and width w is located at

(1) (h/2, w/2)
(2) (h/4, w/4)
(3) (w/3, h/3)
(4) (w, h)

View Solution

Question 18: For a thin plate shaped like a quarter circle, the polar moment of inertia at the center of the circle is given by

(1) \( \pi R^4 / 4 \)
(2) \( \pi R^4 / 8 \)
(3) \( \pi R^4 / 16 \)
(4) \( \pi R^4 / 2 \)

View Solution

Question 19: The moment of inertia of a rectangle with base b and height h about an axis through its centroid parallel to the base is

(1) \( bh^3 / 3 \)
(2) \( bh^3 / 12 \)
(3) \( bh^3 / 6 \)
(4) \( bh^3 / 9 \)

View Solution

Question 20: A mass undergoes simple harmonic motion (SHM) with an amplitude of 10 cm. Its maximum acceleration is 5 m/s\(^2\). The angular frequency \(\omega\) of the mass is

(1) 5 rad/s
(2) 7 rad/s
(3) 10 rad/s
(4) 22.5 rad/s

Correct Answer: 2. 7 rad/s
View Solution

Question 21: Why the inertia torque acts in the opposite direction to the accelerating couple?

(1) Bring the body in equilibrium
(2) To reduce the accelerating torque
(3) Acts as a constraint torque
(4) Increase the linear acceleration

View Solution

Question 22: A beam is supported at two points with a uniform load across its length. The type of bending moment diagram this beam will have is

(1) Linearly increasing
(2) Parabolic
(3) Constant
(4) Hyperbolic

View Solution

Question 23: A circular shaft subjected to torsion experiences a shear stress \(\tau\). If the radius of the shaft doubles, the shear stress will

(1) Halve
(2) Double
(3) Quadruple
(4) Remain the same

View Solution

Question 24: A particle moves with constant acceleration of 2 m/s\(^2\) starting from rest. Its velocity after 3 seconds is

(1) 5 m/s
(2) 6 m/s
(3) 9 m/s
(4) 12 m/s

View Solution

Question 25: In a 2D stress system on an element, if the normal stresses on the x and y axes are \(\sigma_x\) and \(\sigma_y\), and the shear stress is \(\tau\) (\(\tau_{xy}\)), the normal stress on a plane inclined at 45\(^\circ\) to these axes is:

(1) \( (\sigma_x + \sigma_y)/2 - \tau \)
(2) \( (\sigma_x + \sigma_y)/2 \)
(3) \( (\sigma_x + \sigma_y)/2 + \tau \)
(4) \( \sigma_x + \sigma_y \)

View Solution

Question 26: What characterizes a turbulent flow compared to a laminar flow?

(1) Lower Reynolds number
(2) More chaotic energy distribution
(3) More predictable velocity profiles
(4) Lower viscosity

View Solution

Question 27: Which type of flow has no rotation of fluid elements about their center of mass?

(1) Rotational flow
(2) Irrotational flow
(3) Uniform flow
(4) Non-uniform flow

View Solution

Question 28: What does the conservation of mass principle state for a fluid in motion?

(1) Mass is transferred from high to low pressure areas.
(2) The mass of fluid leaving a system equals the mass entering.
(3) Mass can be converted into energy.
(4) Mass increases with velocity.

View Solution

Question 29: Euler's equation is used to describe the motion of fluids under the influence of what forces?

(1) Pressure forces alone
(2) Gravitational forces alone
(3) Frictional forces alone
(4) Pressure and gravitational forces
(1) Pressure forces acting on the surfaces of the fluid element (due to the pressure gradient).

View Solution

Question 30: Bernoulli's equation is applicable under which of the following conditions?

(1) Only for compressible flows
(2) When thermal energy changes are significant
(3) In inviscid, steady, and incompressible flows
(4) Only in turbulent flows

View Solution

Question 31: What is the primary feature of Couette flow?

(1) Fluid motion driven solely by pressure gradient
(2) Fluid between two surfaces moving relative to each other
(3) Fluid in a circular pipe
(4) Fluid flowing through an expanding channel

View Solution

Question 32: The Buckingham \(\pi\) theorem is used for which purpose in fluid mechanics?

(1) Determining the velocity profile in turbulent flow
(2) Formulating dimensionless groups from dimensional variables
(3) Predicting the onset of turbulence
(4) Calculating pressure losses in pipes

View Solution

Question 33: Which type of heat transfer is primarily utilized in furnaces for metallurgical processes?

(1) Conduction
(2) Convection
(3) Radiation
(4) Advection

View Solution

Question 34: Which equation would best describe the conservation of momentum for fluid flow in pipes?

(1) Bernoulli's equation
(2) Navier-Stokes equation
(3) Continuity equation
(4) Euler's equation

View Solution

Question 35: In which scenario is Bernoulli's equation modified to include a term for head loss?

(1) Inviscid, compressible flow
(2) Incompressible, inviscid flow
(3) Turbulent, viscous flow
(4) Steady, uniform flow

View Solution

Question 36: The critical Reynolds number for the transition from laminar to turbulent flow in a pipe is approximately

(1) 500
(2) 2000
(3) 2300
(4) 4300

View Solution

Question 37: A fluid flows through a pipe with a velocity that varies with time at a given point. What type of flow is this?

(1) Steady flow
(2) Unsteady flow
(3) Uniform flow
(4) Non-uniform flow

View Solution

Question 38: If a fluid has a Reynolds number of 5000 in a pipe. The type of flow is

(1) Laminar flow
(2) Transitional flow
(3) Turbulent flow
(4) Irrotational flow

View Solution

Question 39: A fluid traveling through a horizontal pipe with a decreasing cross-sectional area experiences what kind of pressure change, assuming inviscid flow?

(1) Pressure increases
(2) Pressure decreases
(3) Pressure remains constant
(4) Pressure becomes negative

View Solution

Question 40: In plane Couette flow, what determines the shear stress between the plates?

(1) The fluid's density
(2) The distance between the plates
(3) The velocity of the moving plate
(4) The temperature of the fluid

View Solution

Question 41: In a duct, if the flow enters at 1 kg/s and exits at 0.5 kg/s, what additional information is needed to use the continuity equation effectively?

(1) The viscosity of the fluid
(2) The density of the fluid
(3) The temperature of the fluid
(4) The velocity profile of the flow

View Solution

Question 42: Which method is used to improve the efficiency of heat transfer in regenerators?

(1) Increasing the flow rate
(2) Using high thermal conductivity materials
(3) Maximizing the surface area
(4) Minimizing the temperature difference

View Solution

Question 43: For a fluid element in a steady, uniform flow, which of the following statements is true regarding the flow velocity at any point in the flow field?

(1) It changes with time.
(2) It is the same at every point.
(3) It varies from point to point but is constant in time at each point.
(4) It is zero.

View Solution

Question 44: In heat transfer, the Log Mean Temperature Difference (LMTD) is used in the design of

(1) Boilers
(2) Condensers
(3) Regenerators
(4) Radiators

View Solution

Question 45: What parameter in boundary layer theory represents the thickness of the layer in which the velocity increases from zero at the surface to 99% of the free stream velocity?.

(1) Displacement thickness
(2) Momentum thickness
(3) Energy thickness
(4) Boundary layer thickness

View Solution

Question 46: The key factor in classifying furnaces used in metallurgical industries is

(1) The type of fuel used
(2) The materials being processed
(3) The method of heat transfer
(4) The maximum temperature achieved

View Solution

Question 47: A cubic crystal has a unit cell edge length of 0.4 nm. What is the volume of the unit cell?

(1) 0.064 nm\(^3\)
(2) 0.016 nm\(^3\)
(3) 0.064 cm\(^3\)
(4) 0.004 nm\(^3\)

View Solution

Question 48: If a face-centered cubic (FCC) crystal has a lattice parameter of 0.5 nm, calculate the atomic radius.

(1) 0.144 nm
(2) 0.288 nm
(3) 0.125 nm
(4) 0.250 nm

View Solution

Question 49: Calculate the Burgers vector magnitude for a body-centered cubic (BCC) crystal with a lattice constant of 0.3 nm, assuming the dislocation is along the shortest lattice vector.

(1) 0.3 nm
(2) 0.212 nm
(3) 0.15 nm
(4) 0.106 nm

View Solution

Question 50: A material is deformed by slip along a plane with a critical resolved shear stress (CRSS) of 150 MPa. What is the applied stress needed if the orientation factor is 0.45?

(1) 75 MPa
(2) 333 MPa
(3) 150 MPa
(4) 675 MPa

View Solution

Question 51: During cold working, a metal experiences a 10% reduction in cross-sectional area. If the original cross-sectional area was 1 cm\(^2\), what is the new cross-sectional area?

(1) 0.90 cm\(^2\)
(2) 0.95 cm\(^2\)
(3) 0.10 cm\(^2\)
(4) (1)10 cm\(^2\)

View Solution

Question 52: A material undergoes recrystallization at 250\(^\circ\)C. If the material is heated to 300\(^\circ\)C, what process is most likely occurring?

(1) Melting
(2) Grain growth
(3) Recovery
(4) Further recrystallization

View Solution

Question 53: An aluminum alloy sample has a yield stress of 250 MPa and a modulus of elasticity of 70 GPa. What is the strain at yield point?

(1) 0.00357
(2) 0.0357
(3) 0.000357
(4) 0.357

View Solution

Question 54: In a tensile test, a ductile material exhibits necking after reaching its ultimate tensile strength. If the ultimate tensile strength is 500 MPa, what happens to the stress in the necked region?

(1) It decreases.
(2) It remains the same.
(3) It increases.
(4) It fluctuates.

View Solution

Question 55: A steel bar exhibits a Hall-Petch relationship with a yield strength of 300 MPa when the average grain size is 10 micrometers. What trend in yield strength would you expect if the grain size is reduced to 5 micrometers?

(1) Decrease
(2) Increase
(3) Stay the same
(4) Initially increase, then decrease

View Solution

Question 56: A cast iron beam shows a brittle fracture on the stress-strain diagram. What does this indicate about its elongation at break?

(1) It is very high.
(2) It is moderate.
(3) It is very low.
(4) It increases with temperature

View Solution

Question 57: The primary result of grain growth in a material is

(1) Improved conductivity
(2) Increased ductility
(3) Decreased strength
(4) Enhanced corrosion resistance

View Solution

Question 58: The typical characteristic of a stress-strain diagram for cast iron

(1) High ductility and low yield strength
(2) Low ductility and high brittleness
(3) High toughness and elongation
(4) Uniform strain hardening behavior

View Solution

Question 59: Which of the following is the effect of recrystallization on the properties of a material?

(1) Increases hardness and brittleness
(2) Reduces ductility and increases stiffness
(3) Reduces strength and increases ductility
(4) Increases electrical conductivity and reduces thermal conductivity

View Solution

Question 60: The primary mechanism for deformation by twinning is

(1) Shear stress rearranges the crystal structure into mirror-image segments
(2) Atoms jump from one lattice position to another
(3) Dislocations move along slip planes
(4) Grain boundaries move through the material

View Solution

Question 61: The effect of grain growth on the mechanical properties of a metal is

(1) Increases hardness
(2) Decreases electrical resistance
(3) Reduces strength
(4) Enhances corrosion resistance

View Solution

Question 62: Cold Working is primarily characterized by

(1) Heating the material above its recrystallization temperature
(2) Deforming the material at temperatures below its recrystallization temperature
(3) Adding impurities to the material to strengthen it
(4) Reducing the material's thickness through compression

View Solution

Question 63: The main mechanism of plastic deformation in metals is

(1) Twinning
(2) Slip
(3) Elastic bending
(4) Cracking

View Solution

Question 64: Which of the following crystal system has axes of equal length intersecting at 90-degree angles?

(1) Orthorhombic
(2) Cubic
(3) Tetragonal
(4) Hexagonal

View Solution

Question 65: The type of defect involves an atom from an impurity substituting for a lattice atom is

(1) Interstitial defect
(2) Vacancy defect
(3) Substitutional defect
(4) Frenkel defect

View Solution

Question 66: How does dislocation movement by cross-slip differ from climb?

(1) Cross-slip involves movement along a different slip plane, while climb involves vertical movement out of the slip plane.
(2) Cross-slip requires higher temperatures than climb.
(3) Climb is faster than cross-slip.
(4) Climb involves multiple dislocations, cross-slip only one.

View Solution

Question 67: Consider a process where the entropy change of the system is negative. What can be inferred if the process is spontaneous?

(1) The entropy of the surroundings must decrease.
(2) The entropy of the surroundings must increase more than the decrease in the system.
(3) The total energy of the system increases.
(4) The system is in a closed cycle.

View Solution

Question 68: Identify the equation typically used to describe the efficiency of a cyclic process.

(1) \( \eta = 1 - \frac{Q_{out}}{Q_{in}} \)
(2) \( PV = nRT \)
(3) \( \Delta G = \Delta H - T\Delta S \)
(4) \( F = ma \)

View Solution

Question 69: How does the Clausius-Clapeyron Equation help in meteorology?

(1) It predicts weather patterns.
(2) It explains changes in atmospheric pressure.
(3) It calculates the rate of change of vapor pressure with temperature.
(4) It determines the thermal conductivity of the atmosphere.

View Solution

Question 70: A system undergoes isothermal reversible expansion. What is true about the work done by the system?

(1) It is less than the heat absorbed.
(2) It equals the heat absorbed.
(3) It is more than the heat absorbed.
(4) No work is done.

View Solution

Question 71: What is the significance of the Gibbs-Helmholtz Equation in chemical thermodynamics?

(1) It predicts the direction of chemical reactions.
(2) It relates the Gibbs free energy change to temperature and enthalpy change.
(3) It calculates the equilibrium constant at different pressures.
(4) It determines the molecular weights of gases.

View Solution

Question 72: If the enthalpy change for a process at constant pressure is negative, what type of process is it likely to be?

(1) Endothermic
(2) Exothermic
(3) Isothermal
(4) Adiabatic

View Solution

Question 73: How can the concept of maximum work be used to determine the efficiency of a thermodynamic cycle?

(1) By measuring the total heat input into the system.
(2) By calculating the work output as a fraction of the heat absorbed.
(3) By assessing the changes in volume at constant pressure.
(4) By analyzing the molecular interactions during the cycle.

View Solution

Question 74: A reaction's Gibbs free energy change (\(\Delta G\)) is found to be positive at 298 K but becomes negative at 350 K. What does this imply about the reaction?

(1) It is non-spontaneous at all temperatures.
(2) It is spontaneous only above 350 K.
(3) It is spontaneous only below 298 K.
(4) It becomes spontaneous as temperature increases.

View Solution

Question 75: A 10 kg block slides down a frictionless incline from a height of 5 meters. Assuming the gravitational constant g=9.8 m/s\(^2\), calculate the kinetic energy of the block at the bottom of the incline.

(1) 490 J
(2) 980 J
(3) 4,900 J
(4) 9,800 J

View Solution

Question 76: One mole of an ideal gas expands isothermally and reversibly from 2 liters to 6 liters at a temperature of 300 K. Calculate the work done by the gas. (R=8.314 J/K/mol)

(1) 208.5 J
(2) 416.7 J
(3) 623.1 J
(4) 831.4 J

View Solution

Question 77: An ideal gas is compressed adiabatically, where its initial volume of 3 liters is reduced to 1 liter. If the initial pressure was 1 atm and \(\gamma=5/3\), calculate the final pressure of the gas.

(1) 1.2 atm
(2) 3 atm
(3) 4.5 atm
(4) 6.24 atm

View Solution

Question 78: Calculate the heat transferred when 50 g of water is heated from 20\(^\circ\)C to 80\(^\circ\)C. The specific heat capacity of water is 4.18 J/\(^\circ\)C\(^{-1}\)g\(^{-1}\)

(1) 12,540 J
(2) 10,450 J
(3) 8,360 J
(4) 6,270 J

View Solution

Question 79: A Carnot engine operates between a hot reservoir at 500 K and a cold reservoir at 300 K. Calculate the efficiency of the engine.

(1) 20%
(2) 40%
(3) 60%
(4) 80%

View Solution

Question 80: A closed system undergoes a process resulting in a work output of 150 J while the heat removed from the system is 100 J. Calculate the change in internal energy of the system.

(1) -50 J
(2) 50 J
(3) -250 J
(4) 250 J

% Corrected from user key based on standard convention.
View Solution

Question 81: During an isothermal expansion, 2 moles of an ideal gas expand from 1 L to 3 L at a constant temperature of 300 K. Using R=8.314 J/mol.K calculate the work done by the gas.

(1) 477.8 J
(2) -477.8 J
(3) 954.6 J
(4) -954.6 J

Correct Answer: 2 = -477.8J
View Solution

Question 82: Calculate the increase in entropy when two identical containers, each containing 1 mole of an ideal gas at 300 K and 1 atm, are allowed to mix freely.
% Modified based on calculation matching key

(1) 11.53 J/K
(2) 5.76 J/K
(3) 22.06 J/K
(4) 34.10 J/K

View Solution

Question 83: During an isothermal expansion of an ideal gas, how does the entropy of the system change?

(1) The entropy decreases.
(2) The entropy remains constant.
(3) The entropy increases.
(4) The entropy initially increases then decreases.

View Solution

Question 84: Which process involves an increase in enthalpy due to the system absorbing heat from the surroundings?

(1) Adiabatic expansion
(2) Isothermal compression
(3) Constant pressure heating
(4) Adiabatic compression

View Solution

Question 85: What does the Third Law of Thermodynamics state about the entropy of a perfect crystal at absolute zero temperature?

(1) The entropy reaches its maximum value.
(2) The entropy becomes indeterminate.
(3) The entropy approaches zero.
(4) The entropy is unaffected by temperature.

View Solution

Question 86: Consider the properties of ceramics. Which of the following is a reason for their brittleness?

(1) High thermal expansion
(2) High ionic bond strength
(3) Covalent bonding networks
(4) Presence of amorphous phases

Ionic bonds also contribute.
View Solution

Question 87: Design a study to test the effectiveness of different nano-material coatings to improve the wear resistance of industrial cutting tools. What would be a key variable to control?

(1) Coating thickness
(2) Ambient temperature
(3) Tool design
(4) Cutting speed

View Solution

Question 88: Which factor most significantly influences the optical properties of a material such as refractive index and absorption of light?

(1) Chemical composition
(2) Mechanical hardness
(3) Electrical conductivity
(4) Thermal conductivity

View Solution

Question 89: Evaluate the potential benefits and drawbacks of using ceramic matrix composites (CMCs) in aerospace engine components.

(1) Benefits include lower weight and higher temperature tolerance; drawbacks include higher costs and complexity in manufacturing.
(2) Benefits include higher electrical conductivity; drawbacks include lower thermal stability.
(3) Benefits include easier processing; drawbacks include higher material costs only.
(4) Benefits include increased thermal conductivity; drawbacks include reduced mechanical strength.

View Solution

Question 90: Analyze the implications of using a hard magnetic material in the stator of an electric motor instead of a soft magnetic material.

(1) Increased energy efficiency due to better magnetic saturation.
(2) Reduced electrical losses due to lower coercivity.
(3) Increased energy losses due to higher coercivity.
(4) Enhanced mechanical strength and durability of the motor.

View Solution

Question 91: Design an experiment to test the effectiveness of nanostructured coatings to improve the corrosion resistance of metals. What would be the primary performance metric to measure?

(1) Coating hardness
(2) Corrosion rate under controlled environmental conditions
(3) Coating thickness uniformity
(4) Electrical resistance of the coating

View Solution

Question 92: Considering the unique properties of nano materials, evaluate their use in targeted drug delivery systems.

(1) Highly effective due to their small size and surface area, allowing for precise targeting.
(2) Generally ineffective due to rapid clearance from the body.
(3) Effective but often lead to high toxicity and side effects.
(4) Ineffective due to instability in biological environments.

View Solution

Question 93: Identify a bottom-up approach in nanotechnology:

(1) Carving out nanostructures from larger blocks of material.
(2) Assembling structures atom by atom or molecule by molecule.
(3) Using lasers to etch nanostructures.
(4) Cutting materials into nanoscale pieces with a sharp blade.

View Solution

Question 94: Calculate the electrical conductivity of a copper wire if the number density of free electrons is 8.5x10\(^{28}\) electrons/m\(^3\) and the electron mobility is 0.0035 m\(^2\)/Vs.

(1) \( 4.76 \times 10^7 \) S/m
(2) \( 5.95 \times 10^7 \) S/m
(3) \( 6.80 \times 10^7 \) S/m
(4) \( (3)80 \times 10^7 \) S/m

View Solution

Question 95: A paramagnetic substance, in the form of a cube with sides 1 cm, has a magnetic dipole moment of 20 x 10\(^{-6}\) J/T, when a magnetic intensity of 60 x 10\(^3\) A/m is applied. Its magnetic susceptibility is

(1) \( 3.3 \times 10^{-2} \)
(2) \( 2.3 \times 10^{-4} \)
(3) \( 2.3 \times 10^{-2} \)
(4) \( 3.3 \times 10^{-4} \)

View Solution

Question 96: Estimate the surface area of a spherical nanoparticle with a diameter of 10 nm.

(1) 100nm\(^2\)
(2) 250nm\(^2\)
(3) 314nm\(^2\)
(4) 400nm\(^2\)

View Solution

Question 97: What is the primary challenge in synthesizing nanoparticles using the bottom-up approach?

(1) Controlling the size distribution
(2) Achieving high purity
(3) Scaling up the production
(4) Reducing the energy consumption

View Solution

Question 98: Which of the following statements best describes the effect of increasing the temperature on the conductivity of an intrinsic semiconductor?

(1) Conductivity decreases
(2) Conductivity remains constant
(3) Conductivity increases
(4) Conductivity first increases then decreases

View Solution

Question 99: What is the primary mechanical advantage of cross-linked polymers over linear polymers?

(1) Increased solubility
(2) Decreased thermal stability
(3) Enhanced elastic modulus
(4) Reduced electrical conductivity

View Solution

Question 100: Which factor is most critical when selecting a matrix material for a high-temperature composite application?

(1) Electrical conductivity
(2) Thermal expansion coefficient
(3) Optical transparency
(4) Magnetic responsiveness

View Solution

Question 101: Which characteristic differentiates thermosetting polymers from thermoplastic polymers?

(1) Thermosetting polymers can be reshaped with heat
(2) Thermoplastic polymers are primarily used in adhesives
(3) Thermosetting polymers are cross-linked and do not melt upon heating
(4) Thermoplastic polymers have higher tensile strength

View Solution

Question 102: What distinguishes hard magnetic materials from soft magnetic materials in terms of their application?

(1) Hard magnetic materials are easier to magnetize and demagnetize.
(2) Soft magnetic materials are typically used in permanent magnets.
(3) Hard magnetic materials retain their magnetism and are used in permanent magnets.
(4) Soft magnetic materials have higher coercivity than hard magnetic materials.

View Solution

Question 103: What is a significant environmental challenge associated with the bottom-up approach in nanotechnology?

(1) It requires high-energy conditions which are not sustainable.
(2) It produces nanoparticles that can be difficult to recycle.
(3) It involves toxic chemicals that can contaminate water sources.
(4) It is highly labor-intensive and not scalable.

View Solution

Question 104: A block of mass 5 kg is placed on a frictionless inclined plane. The angle of inclination of the plane is 30 degrees. Calculate the force required to keep the block in equilibrium.

(1) 25.5 N
(2) 24.5 N
(3) 26.5 N
(4) 27.5 N
(1) Perpendicular to the plane: \(mg \cos\theta\) (balanced by the normal force).

View Solution

Question 105: The velocity profile for a Bingham plastic fluid flowing (under laminar conditions) in a pipe.

(1) Parabolic
(2) Flat
(3) Flat near the wall and parabolic in the middle
(4) Parabolic near the wall and flat in the middle

View Solution

Question 106: Which of the following properties is typically NOT enhanced by the addition of carbon in steel?

(1) Strength
(2) Ductility
(3) Hardness
(4) Corrosion resistance

View Solution

Question 107: Calculate the drift velocity of the free electrons with mobility of 3.5\(\times\)10\(^{-3}\) m\(^2\)/Vs in copper for an electric field strength of 0.5 V/m.

(1) 3.5 m/s
(2) 1.75\(\times\)10\(^{3}\) m/s
(3) 11.5 m/s
(4) 1.75\(\times\)10\(^{-3}\) m/s

View Solution

Question 108: If \(\lambda\) is an eigenvalue of a non-singular matrix A . Then the eigenvalue of (adjA) is

(1) \( -\frac{1}{\lambda} \)
(2) \( \frac{|A|}{\lambda} \)
(3) 1
(4) 0

View Solution

Question 109: Let A and B be two real symmetric matrices of order n. Then which of the following is true?

(1) \( AA^T = I \)
(2) \( A = A^{-1} \)
(3) \( AB = BA \)
(4) \( (AB)^T = BA \)
(1) \( AA^T = I \): This defines an orthogonal matrix. A symmetric matrix is not necessarily orthogonal. Incorrect.
(2) \( A = A^{-1} \): This means \(A^2 = I\). This defines an involutory matrix. A symmetric matrix is not necessarily involutory. Incorrect.
(3) \( AB = BA \): Matrix multiplication is generally not commutative. AB = BA only if A and B commute, which is not guaranteed even if they are both symmetric. Incorrect.

View Solution

Question 110: If any function is even, in Fourier series it contains

(1) Only b\(_n\)
(2) Only a\(_n\)
(3) Both a\(_0\) and a\(_n\)
(4) Only a\(_0\)

View Solution

Question 111: Probability that a leap year has 53 Sundays is

(1) \( \frac{1}{7} \)
(2) \( \frac{2}{7} \)
(3) \( \frac{5}{7} \)
(4) \( \frac{6}{7} \)

View Solution

Question 112: If \( \vec{a}, \vec{b}, \vec{c} \) are unit vectors, then \( |\vec{a}-\vec{b}|^2 + |\vec{b}-\vec{c}|^2 + |\vec{c}-\vec{a}|^2 \) does not exceed

(1) 4
(2) 9
(3) 8
(4) 6

View Solution

Question 113: Find the greatest value of the directional derivative of the function \( f = x^2 y z^3 \) at (2,1,-1)

(1) \( 5\sqrt{11} \)
(2) \( 4\sqrt{11} \)
(3) \( 3\sqrt{11} \)
(4) \( 2\sqrt{11} \)

View Solution

Question 114: By eliminating a \& b from z = ax + by + (a/b) then, P.D.E formed is \hspace{2cm}

(1) \( z = px + qy + (p/q) \)
(2) \( z = px + qy + \log(pq) \)
(3) \( z = ax + by + (a/b) \)
(4) \( z = ax + by + \log(ab) \)

View Solution

Question 115: The particular integral for the differential equation \( (D^2 - 2D + 1)y = x^2 e^{3x} \) is

(1) \( \frac{1}{8} e^{3x} (2x^2 + 4x - 3) \)
(2) \( \frac{1}{8} e^{3x} (2x^2 + 4x + 3) \)
(3) \( \frac{1}{8} e^{3x} (2x^2 - 4x + 3) \)
(4) \( \frac{1}{8} e^{3x} (2x^2 - 4x - 3) \)

View Solution

Question 116: Laplace transform of \( g(t) = \begin{cases} \cos(t-\frac{\pi}{3}), & if t > \frac{\pi}{3}
0, & if t < \frac{\pi}{3} \end{cases} \) is

(1) \( \frac{s e^{-s\pi/3}}{s^2+1} \)
(2) \( \frac{e^{-s\pi/3}}{s^2-1} \)
(3) \( \frac{- \pi s e^{\frac{s\pi}{3}}}{s^2+1} \)
(4) \( \frac{\pi s e^{\frac{s\pi}{3}}}{s^2-1} \)

View Solution

Question 117: Let X be a continuous random variable denoting the temperature measured. The range of temperature is [0, 100] degree Celsius and let the probability density function of X be f(x) = 0.01 for \(0 \le X \le 100\). The mean is

(1) 5.0
(2) 2.5
(3) 25.0
(4) 50.0

View Solution

Question 118: The Laplace transform of the function f(t) = t sin t is

(1) \( \frac{2s}{(s^2+1)^2} \)
(2) \( \frac{1}{s^2(s^2+1)} \)
(3) \( \frac{1}{s^2} + \frac{1}{(s^2+1)} \)
(4) \( \frac{1}{(s-1)^2+1} \)

View Solution

Question 119: If the mean and variance of a binomial variate are 12 \& 4, then the distribution is \hspace{2cm}

(1) \( \left(\frac{1}{3}+\frac{2}{3}\right)^{15} \)
(2) \( \left(\frac{1}{3}+\frac{2}{3}\right)^{16} \)
(3) \( \left(\frac{1}{3}+\frac{2}{3}\right)^{17} \)
(4) \( \left(\frac{1}{3}+\frac{2}{3}\right)^{18} \)

View Solution

SHARE ON FACEBOOK SHARE ON TWITTER

AP PGECET Questions

1.
If a \(2 \times 2\) matrix \(A\) has eigenvalues 1 and 4 with the corresponding eigenvectors \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\) and \(\begin{pmatrix} 2 \\ 1 \end{pmatrix}\), respectively, then \(A\) is ________
- \(\begin{pmatrix} -4 & -8 \\ 5 & 9 \end{pmatrix}\)
- \(\begin{pmatrix} 9 & -8 \\ 5 & -4 \end{pmatrix}\)
- \(\begin{pmatrix} 2 & 2 \\ 1 & 3 \end{pmatrix}\)
- \(\begin{pmatrix} 3 & 2 \\ 1 & 2 \end{pmatrix}\)
View Solution
2.
The values of a function \(f(x)\) obtained for different values of x are given below

Using Simpson's one-third rule, the value of \(\int_{0}^{1} f(x) dx\) is approximately equal to ______}
- 1.4
- 1.5
- 1.6
- 1.7
View Solution
3.
The system of equation \(x - y + 3z = 0, x + z = 0, x + y - z = 0\) has _______
- a unique solution
- finitely many solutions
- infinitely many solutions
- no solution
View Solution
4.
Consider the statements.
I. if \(s_{n} = \frac{1}{n}\), the sequence \(\{s_{n}\}\) is divergent.
II. if \(s_{n} = 1 + \frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n}\), the sequence \(\{s_{n}\}\) is convergent.
Which one of the following is correct?
- Both I and II are true
- I is true, but II is false
- I is false, but II is true
- Neither I nor II is true
View Solution
5.
Consider the following statements:
I. If \(f\) is a differentiable scalar field, then \[ \operatorname{curl}(\operatorname{grad} f)=\vec{0}. \]
II. If \(\vec{f}\) is a differentiable vector field, then \[ \operatorname{div}(\operatorname{curl}\,\vec{f})=0. \]
Which one of the following is correct?
- I is true, but II is false
- I is false, but II is true
- Both I and II are true
- Neither I nor II is true
View Solution
6.
Let \(A = \begin{pmatrix} 2026 & 2025 & 2024 \\ 2025 & 2024 & 2023 \\ 2024 & 2023 & 2023 \end{pmatrix}\) be a matrix. Then, \(\det(A)\) is equal to _______
- -1
- 0
- 1
- -4051
View Solution

Comments

No Comments To Show

SUBSCRIBE TO OUR NEWS LETTER

COLLEGE NOTIFICATIONS

EXAM NOTIFICATIONS

NEWS UPDATES

Download the Collegedunia app on

downloadapp_banner image

downloadapp_banner image

© 2026 Collegedunia Web Pvt. Ltd. All Rights Reserved