Pressure depends on distance as, `P = (alpha)/(beta)exp(-(alphaz)/(ktheta))`, where `alpha, beta` are constants, `z` is distance as , `k` is Boltzman's constant and `theta` is tempreature. The dimension of beta are

Options

A. (a) `M^(0)L^(0)T^(0)`
B. (b) `M^(-1)L^(-1)T^(-1)`
C. ( c ) `M^(0)L^(2)T^(0)`
D. (d) `M^(-1)L^(1)T^(2)`

Answer

C

Explanation

( c ) Unit of `k` is joules per kelvin or dimensional formula of `k` is `[ML^(2)T(-2)theta^(-1)]`