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If a conical wire is streatched by two ...

If a conical wire is streatched by two forces F applied parallel to its length and in opposite direction . Normal to end faces . The length of wire is L and its end radius are `r_(1)` and `r_(2)` . Find out the extension produced .
(Given , Y= Young's moleulus of wire )

A

`(FL)/(pir_(1)^(2)Y)`

B

`(FL)/(pir_(1)Y)`

C

`(FL)/(pir_(1)r^(2)Y)`

D

`(FL)/(pir_(1)r^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
(c)`DeltaL=(FL)/(YA)=(FL)/(Ysqrt(A_(1)A_(2)))=(FL)/(Ysqrt(pir_(1)^(2)pir_(2)^(2))),DeltaL=(FL)/(Ypir_(1)r_(2))`
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