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JEE • PHYSICS • MECHANICAL PROPERTIES OF SOLIDS

Mechanical properties of solids practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Easy

1 of 13

Understanding +4 | -1

The length of an iron wire is

L

and area of cross-section is

A

. The increase in length is

l

on applying the force

F

on its two ends. Which of the following statement(s) is/are correct?

View answer and explanation

Correct option: A

Increase in length is inversely proportional to its length

L

Increase in length is inversely proportional to its length

L

is incorrect. It should be directly proportional to L.

2 Easy

2 of 13

Understanding +4 | -1

Young's modulus of the material of a wire of length

L

and radius

r

Y \mathrm{Nm}^{-2}

. If the length is reduced to

\frac{L}{2}

and radius to

\frac{r}{2}

, the Young's modulus will be

View answer and explanation

Correct option: A

Y

Option A (

Y

) is correct because Young's modulus is a material property and does not depend on the dimensions of the wire.

3 Easy

3 of 13

Understanding +4 | -1

The elastic potential energy of a stretched wire is given by

View answer and explanation

Correct option: B

U=\frac{A Y}{2 L} l^2

Option B is correct because the elastic potential energy stored in a stretched wire is given by the formula U = (AY/2L)l², where A is the cross-sectional area, Y is Young's modulus, L is the original length, and l is the extension.

4 Easy

4 of 13

Application +4 | -1

A wire extends by

\mathrm{1 mm}

when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be

View answer and explanation

Correct option: A

\mathrm{8}

Option A (8) is correct because the elongation is inversely proportional to the area (or square of the radius) and directly proportional to the force. Doubling the force and halving the radius results in 8 times the elongation.

5 Easy

5 of 13

Understanding +4 | -1

According to Hooke’s law of elasticity, if stress is increased, them the ratio of stress to strain

View answer and explanation

Correct option: B

Remains constant

Option B (Remains constant) is correct because Hooke's law states that the ratio of stress to strain is constant and equal to the modulus of elasticity.

6 Easy

6 of 13

Application +4 | -1

If to break a wire of

1 \mathrm{~m}

length, minimum

40 \mathrm{~kg}

-wt is required, then to break a wire of same material

6 \mathrm{~m}

in length and double in radius, the breaking weight required will be

View answer and explanation

Correct option: C

160 \mathrm{~kg}

-wt

Option C (

160 \mathrm{~kg}

-wt) is correct because the breaking weight is proportional to the cross-sectional area of the wire, which depends on the square of the radius.

7 Easy

7 of 13

Understanding +4 | -1

The Young's modulus of a wire is numerically equal to the stress which will

View answer and explanation

Correct option: B

double the length of the wire

Option B (double the length of the wire) is correct because Young's modulus is numerically equal to the stress when the strain is 1, which means the length is doubled.

8 Easy

8 of 13

Understanding +4 | -1

Given below are two statements: one is labelled as
Assertion (A) and the other is labelled as Reason
(R).

Assertion (A): The property of body, by virtue of
which it tends to regain its original shape when the
external force is removed, is Elasticity.

Reason (R): The restoring force depends upon the
bonded inter atomic and inter molecular force of
solid.

In the light of the above statements, choose the
correct answer from the options given below:

View answer and explanation

Correct option: A

Both (A) and (R) are true and (R) is the correct
explanation of (A)

Option A is correct because elasticity is the property of a body to regain its original shape, and this is due to interatomic forces.

9 Easy

9 of 13

Understanding +4 | -1

Assertion(A): If length of a wire is halved, its Young's modulus of elasticity will become two times.

Reason(R): The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

View answer and explanation

Correct option: D

If Assertion is false but Reason is true.

Option D (If Assertion is false but Reason is true) is correct because Young's modulus is a material property and does not depend on the length of the wire, while the definition of Young's modulus is correctly stated.

10 Easy

10 of 13

Understanding +4 | -1

A long piece of rubber is wider than it is thick. When is is stretched in length by some amount:

View answer and explanation

Correct option: D

Both its thickness and width decrease

Option D is correct because when a rubber piece is stretched, both its thickness and width decrease due to the Poisson effect.

11 Easy

11 of 13

Understanding +4 | -1

Assertion(A): Bulk modulus of an incompressible fluid is infinite.

Reason(R): Density of incompressible fluid remains constant.

View answer and explanation

Correct option: B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Option B (If both Assertion and Reason are true but Reason is not the correct explanation of Assertion) is correct because while both statements are true, the constant density doesn't directly cause the infinite bulk modulus; it's the zero volume change under pressure.

12 Easy

12 of 13

Understanding +4 | -1

With rise in temperature, the Young’s modulus of elasticity:

View answer and explanation

Correct option: A

Decreases

Option A is correct because Young's modulus generally decreases with increasing temperature due to increased atomic vibrations.

13 Easy

13 of 13

Understanding +4 | -1

When a force is applied at one end of an elastic wire, it produces a strain

E

in the wire. If

Y

is the Young's modulus of the material of the wire, the amount of energy stored per unit volume of the wire is given by

View answer and explanation

Correct option: D

\frac{1}{2}\left(Y \times E^2\right)

Option D is correct because the energy stored per unit volume in a wire is given by

\frac{1}{2} \times Y \times E^2

, where Y is Young's modulus and E is strain.

Revision notes and key takeaways

Review MECHANICAL PROPERTIES OF SOLIDS in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 13 single-correct-answer MCQs on MECHANICAL PROPERTIES OF SOLIDS.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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