If the coefficient of conductivity of aluminium is `0.5 cal cm^(-1) s^(-1).^(@)C^(-1)`, then the other to conductor `10 cal s^(-1) cm^(-2)` in the steady state, the temperature gradient in aluminium must be

Options

A. `5^(@)C//cm`
B. `10^(@)C//cm`
C. `20^(@)C//cm`
D. `10.5^(@)C//cm`

Answer

C

Explanation

We use `(dQ)/(dt) = -kA(dt)/(dx)`
`rArr (delta T)/(delta x) =(dQ)/(dt k) =(10)/(0.5) = 20^(@)C//cm`