STANDARD Physics Elasticity MCQ Question with Solution

If the work done in stretching a wire by 1 mm is 2J, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by 1 mm is

A

16 J

B

8 J

C

4 J

D

1/4 J

Correct Answer

Option A

Detailed Explanation

The work done in stretching a wire is proportional to the square of the radius and inversely proportional to the length. Doubling the radius increases the work by a factor of 4, and halving the length doubles it, resulting in a total factor of 8. Therefore, the work done is 8 times 2J, which is 16J.

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