Physics Elasticity ( Mechanical Properties of Solids ) NEET Previous Year Question MCQ (Single Correct)

Two wires are made of the same material and have the same volume. The first wire has cross-sectional area and the second wire has cross-sectional area 3A. If the length of the first wire is increased by on applying a force F, how much force is needed to stretch the second wire by the same amount? [NEET 2018]

A
4F
B
6F
C
9F
D
F

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Text Solution

Verified by Experts
The correct answer is:
C

According to the question,

For wire 1, … (i)

For wire 2, … (ii)

Volume,
or
Substituting the value of l in Eqs. (i) and (ii), we get

and
As it is given that the wires are made up of same material, i.e. .

or (given, )

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