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The Young's modulus of brass and steel a...

The Young's modulus of brass and steel are `10 xx10^(10) Nm^(-2) and 20 xx10^(10)Nm^(-2)` respectively. A brass wire and steel wire of the same length are extended by 1 mm under the same force. If the radii of the brass and steel wires are `R_B and R_S` respectively, then

A

`R_S =R_B/4`

B

`R_S =4 R_B`

C

`R_S=sqrt2,R_B`

D

`R_S=R_B/sqrt2`

Text Solution

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The correct Answer is:
D
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