The dimension of `sigma b^4` (where `sigma` is Stefan's constant and b is Wien's constant) are `[ML^4 T^(-3)]` is it true.

Answer

1

Explanation

From Stefan's Law, `E = sigma T^4, sigma =E//T^4`
From Wien's Law, `lambda_m = (b)/(T), b =lambda_mT`
Now `sigmab^4 = (E )/(T^4). (lambda_mT)^4 = E lambda_m^4`
`=((ML^2T^(-2))/(T.L^2)) L^4 = [M L^4 T^(-3)]`
The statement is true.