In the relation `P = (alpha)/(beta) e^(-alphaz//k theta),P` is preesure, `K` is Botzmann's constant, `Z` is distance and `theta` is temperature. The dimensional formula of `beta` wll be

Options

A. `[M^(0) L^(2) T^(0)]`
B. `[M^(1) L^(2) T^(1)]`
C. `[ML^(2) T^(-1)]`
D. `[M^(0) L^(2) T^(-1)]`

Answer

A

Explanation

`[(alpha z)/(k theta)] = 1`