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Free Young's Modulus and Stress-Strain MCQs with Answers

11 Young's Modulus and Stress-Strain MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Stress and strain describe how a solid deforms under an applied force, while Young's modulus is the ratio of tensile stress to tensile strain within the elastic limit. The topic includes elastic and plastic behaviour, Hooke's law, the stress strain graph and the difference between stiffness, strength and breaking stress.

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11 questions

1. if both the length and radius of the rod are doubled, then modulus of elasticity will:

  • A. inerease
  • B. Deerease
  • C. Remains the same
  • D. Be doubled

Explanation: When the length ( L ) and radius ( r ) of a rod are doubled, the new length and radius are ( 2L ) and ( 2r ) respectively.

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Correct answer: Remains the same

2. A force of 500 N is applied to one end of a cylindrical steel rod of diameter 50cm, the tensile stress is;

  • A. 1.5 x 10^5Nm- 2
  • B. 2.5 x 10^5Nm- 2
  • C. 2.5 x 10^3Nm- 2
  • D. 1 x 10^5Nm- 2

Explanation: We use the formula: σ= F/A Given:Force (F) = 500 NDiameter of the rod = 50 cm = 0.5 mThe cross-sectional area of a cylinder is calculated…

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Correct answer: 2.5 x 10^3Nm- 2

3. Which of the following is the Young Modulus of steel?

  • A. 20 x 10^9N/m2
  • B. 3.9 x 10^-9N/m2
  • C. 2 x 10^11N/m2
  • D. 1.5 x 10^9N/m2

Explanation: The young modulus of steel is 20×1010 Pa which is 20×109N/m2.

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Correct answer: 20 x 10^9N/m2

4. A wire is stretched to four times of its length its strain is

  • A. 0.5
  • B. 4
  • C. 3
  • D. 1

Explanation: As, Strain= ΔL/Lwhere, ΔL=4L-L=3LSo, the strain is: Strain= ΔL/L =3L/L =3So, the strain is 3.

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Correct answer: 3

5. If a material becomes more resistant to shear deformation, then shear modulus will

  • A. increase.
  • B. decrease.
  • C. become zero.
  • D. remain constant.

Explanation: A higher shear modulus indicates that a material is more resistant to shear deformation.

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Correct answer: increase.

6. The dimension of Young's Modulus is:

  • A. M2L-1T2
  • B. ML-1T-1
  • C. ML-1T-2
  • D. ML-2T-2

Explanation: Young's modulus is the slope of the initial section of the curve (i.e. m in y = mx + b).

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Correct answer: ML-1T-2

7. Volume stress divided by volume strain equal to:

  • A. Young's modulus
  • B. Bulk modulus
  • C. Shear modulus
  • D. Hyper modulus

Explanation: Bulk modulus is the ratio or hydrostatic stress to the volumetric strain. Within the elastic range is called bulk modulus.

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Correct answer: Bulk modulus

8. Hook's law correlates the:

  • A. Force and displacement
  • B. Force and extension
  • C. Force and compression
  • D. Stress and strain

Explanation: Hooke's Law is a principle of physics that states the strain in a solid is proportional to the applied stress within the elastic limit of…

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Correct answer: Stress and strain

9. A vertical steel wire X of circular cross-section is used to suspend a load. A second wire Y, made of the same material but having twice the length and twice the diameter is used to suspend an equal load. What is the value of the ratio?

  • A. 1/1
  • B. 1
  • C. 2
  • D. 4

Explanation: Since the wires at made of the same material, their young modulus will be the same hence they have the same length, force and area.

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Correct answer: 1/1

10. The shear modulus of elasticity G is:

  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation: The shear modulus of elasticity/rigidity G is a material's ability to resist deformation, it is defined as the ratio of tangential stress…

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Correct answer: Option C

11. Which one of the following physical quantity does not have the dimension of force per unit area:

  • A. Stress
  • B. Strain
  • C. Young modulus
  • D. Pressure

Explanation: The strain unit is dimensionless. It is the ratio between the length shift and the initial length, so it is unit-less.

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Correct answer: Strain
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