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 One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire is .

A

`0.25`

B

`0.50`

C

`2.00`

D

`4.00`

Text Solution

Verified by Experts

The correct Answer is:
C

`k_(1)=(pi4R^(2)x)/(2L),k_(2)=(piR^(2)y)/L`
`F=k_(1)x=k_(2)y`
`implies y/x=(k_(1))/(k_(2))=2`
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