Physics-Stress & Strain

NEET Physics Stress & Strain MCQ Question

Type: MCQ-numerical-Hard-Class 11

A wire of original length L and cross-sectional area A is stretched by a force F, resulting in an extension of l. If the Young's modulus of the material of the wire is Y, what is the elastic potential energy stored per unit volume in the wire?

A

1/2 × (F/A) × (l/L)

B

(F × l)/(2 × L × A)

C

Y × (l/L)^2

D

1/2 × Y × (l/L)^2

Correct Answer

Option D

Detailed Explanation

The elastic potential energy per unit volume u is given by 1/2 × stress × strain. Stress is F/A and strain is l/L, so u = 1/2 × Y × (l/L)^2.

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