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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

4 F

B

6F

C

9F

D

F

Text Solution

Verified by Experts

The correct Answer is:
C

For wire 1,
`DeltaI=((F)/(3Y))3I" "…(i)`
For wire 2,
`(F')/(3A)=Y(DeltaI)/(I)`
`implies DeltaI=((F')/(3AY))I" "…(ii)`
From equation (i) & (ii) ,
`DeltaI=((F)/(AY))3I=((F')/(3AY))I`
`implies F'=9F`
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