The dimensional formula for Boltzmann's constant is

Options

A. `M^(0)L^(0)T^(-2)K^(-4)`
B. `M^(1)L^(1)T^(-2)K^(-2)`
C. `M^(1)L^(0)T^(-3)K^(-4)`
D. `M^(0)L^(2)T^(-3)K^(-3)`

Answer

C

Explanation

`sigma=E/(At theta^(4))`
`thereforesigma=([M^(1)L^(2)T^(-2)])/([L^(2)T^(1)K^(4)])=[M^(1)L^(0)T^(-3)K^(-4)]`