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On all the six surfaces of a unit cube, ...

On all the six surfaces of a unit cube, equal tensile force of F is applied. The increase in length of each side will (Y = Young's module, `sigma`= Poission's ratio)

A

`(F)/(Y (1- sigma))`

B

`(F)/(Y (1+ sigma))`

C

`(F (1- 2 sigma))/(Y)`

D

`(F)/(Y (1+ 2 sigma))`

Text Solution

Verified by Experts

The correct Answer is:
C
Tensile strain on each face `= (F)/(Y)`
Lateral strain due to the other two faces acting on `bot r` faces `= (-2 sigma F)/(Y), Delta l= (1- 2 sigma) ((F)/(Y))`
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