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A metal rod of Young's modulas Y and coe...

A metal rod of Young's modulas `Y` and coefficient of thermal expansion `alpha` is held at its two ends such that its length remains invariant. If its temperature is raised by `t^(@)c`, then the linear stress developed in it is

A

`(alphat)/(Y)`

B

`(Y)/(alphat)`

C

`Yalphat`

D

`(1)/((Yalphat))`

Text Solution

Verified by Experts

The correct Answer is:
C
Strain =`(l_(2)-l_(1))/(l_(1)) = alphat` and `Y = ("Stress")/("Strain")`
`implies` Stress = `Y alpha t`
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ALLEN -GEOMETRICAL OPTICS-EXERCISE - 05 (A)
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