Physics Elasticity ( Mechanical Properties of Solids ) MHT CET Previous Years Question MCQ (Single Correct)

Work done in stretching a wire through is . What amount of work will be done for elongating another wire of same material, with half the length and double the radius of cross section by ?

A
2 J
B
4 J
C
8 J
D
16 J

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Text Solution

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The correct answer is:
D

: Work done in streching a wire, where F is the required force and is the

elongation in the wire.

Now, the force required to stretch the wire is,

For the same material, Young's modulus is same and it is given that, and

or

Using eqn (i) and (ii),

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