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On gradual loading , stress - strain rel...

On gradual loading , stress - strain relationship for a metal wire is as follows . Within proportionality limit , stress `prop` strain or, ` "Stress"/"strain"` = a constant for the material of wire.
Two wires of same material have length and radius `(L,r)` and `(2L , r/2)`. The ratio of their young's moduli is

A

`1:2`

B

`2:3`

C

`2:1`

D

`1:1`

Text Solution

Verified by Experts

The correct Answer is:
D
Young's modulus is a material constant. So length and radius do not effect its value. So ratio has to be `1:1`.
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