Question

Pressure depends on distance as,P = α/β exp (-αz/kθ), where α, β are constants, z is distance, k is Boltzman’s constant and θ is temperature. The dimension of β are

(A) M⁰L⁰T⁰ 

(B) M^-1L^-1T^-1

(C) M⁰L²T⁰ 

(D) M^-1L¹T²

Answer 1

Correct option (C) M⁰L²T⁰ 

Explanation:

αz/kθ should be dimensionless, hence α = MLT^-2

α /β = ML^-1T^-2 = P, hence β = M⁰L²T⁰