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The Young's modulii of brass ans steel a...

The Young's modulii of brass ans steel are in the ratio of `1 : 2`. A brass wire and a steel wire of the same length are extended by the same amount under the same deforming force. If `r_(B)` and `r_(S)` are the radii of brass and steel wires respectively, then

A

`r_(S) = (r_(B))/(2)`

B

`r_(S) = (r_(B))/(sqrt(2))`

C

`r_(S) = sqrt(2)r_(B)`

D

`r_(S) = 2r_(B)`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Y_(B))/(Y_(S)) = (1)/(2) = (r_(S)^(2))/(r_(B)^(2))`
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