STANDARDPhysics-Mechanical Properties of Solids

STANDARD Physics Elasticity MCQ Question

Type: MCQ-numerical-Medium-Class 11

A wire of length L and radius r is clamped at one end. On stretching the other end of the wire with a force F, the increase in its length is L. If another wire of same material but of length 2L and radius 2r is stretched with a force 2F, the increase in its length will be

A

L/4

B

L/2

C

L

D

2L

Correct Answer

Option B

Detailed Explanation

Using the formula for elongation ΔL = FL/AY, where A is the cross-sectional area and Y is Young's modulus, the increase in length for the second wire is calculated as L/2.

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