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A metal rof having coefficient of linear...

A metal rof having coefficient of linear expansion `alpha` and Young's modulus Y is heated to raise its temperature by `Delta theta`. The stress exerted by the rod is

A

`(Y alpha)/(Delta theta)`

B

`(Y Delta theta)/(alpha)`

C

`Y alpha Delta theta`

D

`(alpha Delta theta)/(Y)`

Text Solution

Verified by Experts

The correct Answer is:
C
The corfficient of linear expansion `alpha = (Delta L)/(L(Delta theta))`
Stress `= Y xx "strain" = Y alpha Delta theta`
`:.` In this case, the stress is known as Thermal stress and is equal to `Y alpha Delta theta`.
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