In the equation `((1)/(pbeta))=(y)/(k_(B)T)`, where `p` is the pressure, `y` is the distance, `k_(B)` is Boltzmann constant and `T` is the tempreture. Dimensions of `beta` are

Options

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

Answer

B

Explanation

Given equation,` (1)/(p beta)=(y)/(K_(B)T)` where , p= prossure,y=distance,
`k_(B)=` Boltzmann constant and T=temperature
Dimension of `[beta]=(["Dimensions of" k_(B)] ["Dimensions of" T])/(["Dimensions of p"]["Dimensions of Y"])`
`=([ML^(2)T^(3)][T])/([ML^(-1)T^(-2)][L])=[M^(0)L^(0)T^(0)]`