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Two wires are made of the same material ...

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

A

4F

B

6F

C

9F

D

F

Text Solution

Verified by Experts

The correct Answer is:
C
In case of first wire, `Y=(Fl//A)/(Deltal//l_0)=(Fl_0)/(A Deltal)`
or,`F=(YADeltal)/l_0`
In case of second wire,
`Y=(F.//3A)/((Deltal)/(l_0//3))=(F.l_0)/(9ADeltal)`
or,`F.=(9YADeltal)/l_0=9F`
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