Strength of Materials MCQ Solved Paper for JEE Main
Thursday 9th of March 2023
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1. In a tensile test, near the elastic limit zone, the
A. Tensile strain increases more quickly
B. Tensile strain decreases more quickly
C. Tensile strain increases in proportion to the stress
D. Tensile strain decreases in proportion to the stress
Answer : A
A. Tensile strain increases more quickly
B. Tensile strain decreases more quickly
C. Tensile strain increases in proportion to the stress
D. Tensile strain decreases in proportion to the stress
Answer : A
2. In an irreversible process, there is a
A. Loss of heat
B. No loss of heat
C. Gain of heat
D. No gain of heat
Answer : A
A. Loss of heat
B. No loss of heat
C. Gain of heat
D. No gain of heat
Answer : A
3. The section modulus of a circular section about an axis through its C.G., is
A. ?d²/4
B. ?d²/16
C. ?d3/16
D. ?d3/32
Answer : D
A. ?d²/4
B. ?d²/16
C. ?d3/16
D. ?d3/32
Answer : D
4. The materials having same elastic properties in all directions are called
A. Ideal materials
B. Uniform materials
C. Isotropic materials
D. Piratical materials
Answer : C
A. Ideal materials
B. Uniform materials
C. Isotropic materials
D. Piratical materials
Answer : C
5. The extremeties of any diameter on Mohr's circle represent
A. Principal stresses
B. Normal stresses on planes at 45°
C. Shear stresses on planes at 45°
D. Normal and shear stresses on a plane
Answer : B
A. Principal stresses
B. Normal stresses on planes at 45°
C. Shear stresses on planes at 45°
D. Normal and shear stresses on a plane
Answer : B
6. According to Avogadro's law, the density of any two gases is __________ their molecular masses, if the gases are at the same temperature and pressure.
A. Equal to
B. Directly proportional to
C. Inversely proportional to
D. None of these
Answer : B
A. Equal to
B. Directly proportional to
C. Inversely proportional to
D. None of these
Answer : B
7. The strain energy stored in a solid circular shaft in torsion, subjected to shear stress (?), is: (Where, G = Modulus of rigidity for the shaft material)
A. ?²/ 2G × Volume of shaft
B. ?/ 2G × Volume of shaft
C. ?²/ 4G × Volume of shaft
D. ?/ 4G × Volume of shaft
Answer : C
A. ?²/ 2G × Volume of shaft
B. ?/ 2G × Volume of shaft
C. ?²/ 4G × Volume of shaft
D. ?/ 4G × Volume of shaft
Answer : C
8. Stirling and Ericsson cycles are
A. Reversible cycles
B. Irreversible cycles
C. Semi-reversible cycles
D. Quasi-static cycles
Answer : A
A. Reversible cycles
B. Irreversible cycles
C. Semi-reversible cycles
D. Quasi-static cycles
Answer : A
9. Which of the following is correct?
A. Gauge pressure = Absolute pressure + Atmospheric pressure
B. Absolute pressure = Gauge pressure + Atmospheric pressure
C. Absolute pressure = Gauge pressure - Atmospheric pressure
D. Atmospheric pressure = Absolute pressure + Gauge pressure
Answer : B
A. Gauge pressure = Absolute pressure + Atmospheric pressure
B. Absolute pressure = Gauge pressure + Atmospheric pressure
C. Absolute pressure = Gauge pressure - Atmospheric pressure
D. Atmospheric pressure = Absolute pressure + Gauge pressure
Answer : B
10. The amount of heat required to raise the temperature of the unit mass of gas through one degree at constant volume, is called
A. Specific heat at constant volume
B. Specific heat at constant pressure
C. Kilo Joule
D. None of these
Answer : A
A. Specific heat at constant volume
B. Specific heat at constant pressure
C. Kilo Joule
D. None of these
Answer : A
11. The bending moment at a point on a beam is the algebraic ________ of all the moments on either side of the point.
A. Sum
B. Difference
C. Multiplication
D. None of the above
Answer : A
A. Sum
B. Difference
C. Multiplication
D. None of the above
Answer : A
12. The increase in entropy of a system represents
A. Increase in availability of energy
B. Increase in temperature
C. Decrease in pressure
D. Degradation of energy
Answer : D
A. Increase in availability of energy
B. Increase in temperature
C. Decrease in pressure
D. Degradation of energy
Answer : D
13. The efficiency of the Carnot cycle may be increased by
A. Increasing the highest temperature
B. Decreasing the highest temperature
C. Increasing the lowest temperature
D. Keeping the lowest temperature constant
Answer : A
A. Increasing the highest temperature
B. Decreasing the highest temperature
C. Increasing the lowest temperature
D. Keeping the lowest temperature constant
Answer : A
14. For a simply supported beam of length l, when a concentrated load W is applied in the centre of the beam, the maximum deflection is
A. 5WL³/ 384EI
B. WL³/384EI
C. WL³/ 348EI
D. WL³/ 48EI
Answer : D
A. 5WL³/ 384EI
B. WL³/384EI
C. WL³/ 348EI
D. WL³/ 48EI
Answer : D
15. When wood is heated with a limited supply of air to a temperature not less than 280°C, the resulting fuel is
A. Coke
B. Wood charcoal
C. Bituminous coal
D. Briquetted coal
Answer : B
A. Coke
B. Wood charcoal
C. Bituminous coal
D. Briquetted coal
Answer : B
16. If both Stirling and Carnot cycles operate within the same temperature limits, then efficiency of Stirling cycle as compared to Carnot cycle
A. More
B. Less
C. Equal
D. Depends on other factors
Answer : C
A. More
B. Less
C. Equal
D. Depends on other factors
Answer : C
17. The gas turbine cycle with regenerator improves
A. Thermal efficiency
B. Work ratio
C. Avoids pollution
D. None of these
Answer : A
A. Thermal efficiency
B. Work ratio
C. Avoids pollution
D. None of these
Answer : A
18. When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the stiffness of the spring is given by
A. Cd?/D3n
B. Cd?/2D3n
C. Cd?/4D3n
D. Cd?/8D3n
Answer : D
A. Cd?/D3n
B. Cd?/2D3n
C. Cd?/4D3n
D. Cd?/8D3n
Answer : D
19. The unit of Young's modulus is
A. mm/mm
B. kg/cm
C. Kg
D. kg/cm²
Answer : D
A. mm/mm
B. kg/cm
C. Kg
D. kg/cm²
Answer : D
20. The thermal efficiency of an ideal gas turbine plant is given by (where r = Pressure ratio)
A. r? - 1
B. 1 - r? - 1
C. 1 - (1/r) ?/? - 1
D. 1 - (1/r) ? - 1/ ?
Answer : D
A. r? - 1
B. 1 - r? - 1
C. 1 - (1/r) ?/? - 1
D. 1 - (1/r) ? - 1/ ?
Answer : D
21. A cycle consisting of two constant pressure and two isentropic processes is known as
A. Carnot cycle
B. Stirling cycle
C. Otto cycle
D. None of these
Answer : D
A. Carnot cycle
B. Stirling cycle
C. Otto cycle
D. None of these
Answer : D
22. When a body is subjected to three mutually perpendicular stresses, of equal intensity, the ratio of direct stress to the corresponding volumetric strain is known as
A. Young's modulus
B. Modulus of rigidity
C. Bulk modulus
D. Poisson's ratio
Answer : C
A. Young's modulus
B. Modulus of rigidity
C. Bulk modulus
D. Poisson's ratio
Answer : C
23. A vertical column has two moments of inertia (i.e. Ixx and Iyy ). The column will tend to buckle in the direction of the
A. Axis of load
B. Perpendicular to the axis of load
C. Maximum moment of inertia
D. Minimum moment of inertia
Answer : D
A. Axis of load
B. Perpendicular to the axis of load
C. Maximum moment of inertia
D. Minimum moment of inertia
Answer : D
24. Flow stress corresponds to
A. Fluids in motion
B. Breaking point
C. Plastic deformation of solids
D. Rupture stress
Answer : C
A. Fluids in motion
B. Breaking point
C. Plastic deformation of solids
D. Rupture stress
Answer : C
25. The variables which control the physical properties of a perfect gas are
A. Pressure exerted by the gas
B. Volume occupied by the gas
C. Temperature of the gas
D. All of these
Answer : D
A. Pressure exerted by the gas
B. Volume occupied by the gas
C. Temperature of the gas
D. All of these
Answer : D
26. The ratio of specific heat at constant pressure (cp) and specific heat at constant volume (cv) is always __________ one.
A. Equal to
B. Less than
C. Greater than
D. None of these
Answer : C
A. Equal to
B. Less than
C. Greater than
D. None of these
Answer : C
27. Which of the following is the extensive property of a thermodynamic system?
A. Pressure
B. Volume
C. Temperature
D. Density
Answer : B
A. Pressure
B. Volume
C. Temperature
D. Density
Answer : B
28. In a free expansion process,
A. W1 - 2 = 0
B. Q1 - 2 = 0
C. dU = 0
D. All of these
Answer : D
A. W1 - 2 = 0
B. Q1 - 2 = 0
C. dU = 0
D. All of these
Answer : D
29. One kg of hydrogen requires 8 kg of oxygen and produces
A. 1 kg of water
B. 7 kg of water
C. 8 kg of water
D. 9 kg of water
Answer : D
A. 1 kg of water
B. 7 kg of water
C. 8 kg of water
D. 9 kg of water
Answer : D
30. The efficiency and work ratio of a simple gas turbine cycle are
A. Very low
B. Low
C. High
D. Very high
Answer : A
A. Very low
B. Low
C. High
D. Very high
Answer : A
31. For a perfect gas, according to Boyle's law (where p = Absolute pressure, v = Volume, and T = Absolute temperature)
A. p v = constant, if T is kept constant
B. v/T = constant, if p is kept constant
C. p/T = constant, if v is kept constant
D. T/p = constant, if v is kept constant
Answer : A
A. p v = constant, if T is kept constant
B. v/T = constant, if p is kept constant
C. p/T = constant, if v is kept constant
D. T/p = constant, if v is kept constant
Answer : A
32. Which of the following gas has a minimum molecular mass?
A. Oxygen
B. Nitrogen
C. Hydrogen
D. Methane
Answer : C
A. Oxygen
B. Nitrogen
C. Hydrogen
D. Methane
Answer : C
33. The efficiency of Diesel cycle increases with
A. Decrease in cut-off
B. Increase in cut-off
C. Constant cut-off
D. None of these
Answer : A
A. Decrease in cut-off
B. Increase in cut-off
C. Constant cut-off
D. None of these
Answer : A
34. The entropy may be expressed as a function of
A. Pressure and temperature
B. Temperature and volume
C. Heat and work
D. All of these
Answer : A
A. Pressure and temperature
B. Temperature and volume
C. Heat and work
D. All of these
Answer : A
35. The specific heat at constant volume is
A. The amount of heat required to raise the temperature of unit mass of gas through one degree, at constant pressure
B. The amount of heat required to raise the temperature of unit mass of gas through one degree, at constant volume
C. The amount of heat required to raise the temperature of 1 kg of water through one degree
D. Any one of the above
Answer : B
A. The amount of heat required to raise the temperature of unit mass of gas through one degree, at constant pressure
B. The amount of heat required to raise the temperature of unit mass of gas through one degree, at constant volume
C. The amount of heat required to raise the temperature of 1 kg of water through one degree
D. Any one of the above
Answer : B
36. The deformation of a bar under its own weight is _________ the deformation, if the same body is subjected to a direct load equal to weight of the body.
A. Equal to
B. Half
C. Double
D. Quadruple
Answer : B
A. Equal to
B. Half
C. Double
D. Quadruple
Answer : B
37. The stress induced in a body, when suddenly loaded, is ________ the stress induced when the same load is applied gradually.
A. Equal to
B. One-half
C. Twice
D. Four times
Answer : C
A. Equal to
B. One-half
C. Twice
D. Four times
Answer : C
38. When a thin cylindrical shell is subjected to an internal pressure, the volumetric strain is (where ?? = Hoop strain, and ?? = Longitudinal strain)
A. 2?? - ??
B. 2?? + ??
C. 2?? - ??
D. 2?? + ??
Answer : B
A. 2?? - ??
B. 2?? + ??
C. 2?? - ??
D. 2?? + ??
Answer : B
39. The compression ratio for petrol engines is
A. 3 to 6
B. 5 to 8
C. 10 to 20
D. 15 to 30
Answer : B
A. 3 to 6
B. 5 to 8
C. 10 to 20
D. 15 to 30
Answer : B
40. The heat absorbed or rejected by the working substance is given by (where ds = Increase or decrease of entropy, T = Absolute temperature, and dQ = Heat absorbed or rejected)
A. ?Q = T.ds
B. ?Q = T/ds
C. dQ = ds/T
D. None of these
Answer : A
A. ?Q = T.ds
B. ?Q = T/ds
C. dQ = ds/T
D. None of these
Answer : A
41. Which of the following statement is incorrect?
A. The liquid fuels have higher calorific value than solid fuels
B. The solid fuels have higher calorific value than liquid fuels
C. A good fuel should have low ignition point
D. The liquid fuels consist of hydrocarbons
Answer : B
A. The liquid fuels have higher calorific value than solid fuels
B. The solid fuels have higher calorific value than liquid fuels
C. A good fuel should have low ignition point
D. The liquid fuels consist of hydrocarbons
Answer : B
42. The general law for the expansion or compression of gases, is
A. pv = C
B. pv = m R T
C. pvn = C
D. pv? = C
Answer : C
A. pv = C
B. pv = m R T
C. pvn = C
D. pv? = C
Answer : C
43. Kelvin-Planck's law deals with
A. Conservation of work
B. Conservation of heat
C. Conversion of heat into work
D. Conversion of work into heat
Answer : C
A. Conservation of work
B. Conservation of heat
C. Conversion of heat into work
D. Conversion of work into heat
Answer : C
44. The property of a material by virtue of which a body returns to its original, shape after removal of the load is called
A. Plasticity
B. Elasticity
C. Ductility
D. Malleability
Answer : B
A. Plasticity
B. Elasticity
C. Ductility
D. Malleability
Answer : B
45. If the radius of wire stretched by a load is doubled, then its Youngs modulus will be
A. Doubled
B. Halved
C. Becomes four times
D. None of the above
Answer : D
A. Doubled
B. Halved
C. Becomes four times
D. None of the above
Answer : D
46. When a gas is heated at constant volume
A. Its temperature will increase
B. Its pressure will increase
C. Both temperature and pressure will increase
D. Neither temperature nor pressure will increase
Answer : C
A. Its temperature will increase
B. Its pressure will increase
C. Both temperature and pressure will increase
D. Neither temperature nor pressure will increase
Answer : C
47. The change of entropy, when heat is absorbed by the gas, is
A. Positive
B. Negative
C. Positive or negative
D. None of these
Answer : A
A. Positive
B. Negative
C. Positive or negative
D. None of these
Answer : A
48. The stress induced in a body due to suddenly applied load compared to when it is applied gradually is
A. Same
B. Half
C. Two times
D. Four times
Answer : C
A. Same
B. Half
C. Two times
D. Four times
Answer : C
49. Select the correct statement as per Charles' law
A. p.v = constant, if T is kept constant
B. v/T = constant, if p is kept constant
C. p/T = constant, if v is kept constant
D. T/p = constant, if v is kept constant
Answer : B
A. p.v = constant, if T is kept constant
B. v/T = constant, if p is kept constant
C. p/T = constant, if v is kept constant
D. T/p = constant, if v is kept constant
Answer : B
50. The amount of heat required to raise the temperature of 1 kg of water through one Kelvin is called
A. Specific heat at constant volume
B. Specific heat at constant pressure
C. kilo-Joule
D. None of these
Answer : C
A. Specific heat at constant volume
B. Specific heat at constant pressure
C. kilo-Joule
D. None of these
Answer : C
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