A constant volume and temperature conditions, the rate of diffusion `D_(A)` and `D_(B)` of gases `A` and `B` having densities `rho_(A) and rho_(B)` are related by the expression

Options

A. `D_(A)=[D_(B).(rho_(A))/(rho_(B))]^(1//2)`
B. `D_(A)=[D_(B).(rho_(B))/(rho_(A))]^(1//2)`
C. `D_(A)=D_(B) ((rho_(A))/(rho_(B)))^(1//2)`
D. `D_(A)=D_(B) ((rho_(B))/(rho_(A)))^(1//2)`

Answer

D

Explanation

`(D_(A))/(D_(B))=sqrt((rhoB)/(rho_(A)))=[(rho_(B))/(rho_(A))]^((1)/(2)) :. D_(A)=D_(B)((rho_(B))/(rho_(B)))^((1)/(2))`