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A slightly conical wire of length l and...

A slightly conical wire of length `l` and radii, `r_(1)` and `r_(2)` is strecthced by two forces each of magnitude `F` applied parallel to length in opposide directions and normal to end faces. If `Y` denotes the Young's modulus then find the elogation of the wire `(r_(2) gt r_(1))`.

A

`(Ayr_(2))/(r_(1))`

B

`(AY(r_(2)-r_(1)))/(r_(1))`

C

`(Y(r_(2)-r_(1)))/(Ar_(1))`

D

`(Yr_(1))/(Ar_(2))`

Text Solution

Verified by Experts

The correct Answer is:
B

`F = (Yae)/(l), e = r_(2), r = r_(1)`
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