A gas satisfies the relation `pV^(5//3) = k`, where p is pressure, V is volume and k is constant. The dimension of constant k are 

Options

A. `ML^4 T^(-2)`
B. `ML^2 T^(-2)`
C. `ML^6 T(-2)`
D. `MLT^(-2)`

Answer

A

Explanation

Given, `PV^(5/3) = K`
`rArr [ML^(-1) T^(-2)][L^3]^(5//3)=k`
`therefore` Dimension of `K=ML^4 T^(-2)`