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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. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by `Deltax` on applying force F, how much force is needed to stretch wire 2 by the same amount?

A

`4F`

B

`6F`

C

`9F`

D

`F`

Text Solution

Verified by Experts

The correct Answer is:
C

`F = (Yax)/(l)`
and `F_(2) = (Y(3A)x)/((l//3)) = 9 F`
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