A metal rod of Young's modulus `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`, the linear stress developed in its is:

Options

A. `(alphat)/(Y)`
B. `(Y)/(alphat)`
C. `Yalphat`
D. `(1)/((Yalphat))`

Answer

C

Explanation

Strain =`(l_(2)-l_(1))/(l_(1)) = alphat` and `Y = ("Stress")/("Strain")`
`implies` Stress = `Y alpha t`