In `(P+(a)/(V^(2)))(V-b)=RT` equation the, a,b will be ..... Where P= Pressure V= Volume and T= Temperature .

Options

A. `M^(1)L^(2)T^(-2)`
B. `M^(1)L^(8)T^(-2)`
C. `M^(1)L^(2)T^(-2)K^(1)`
D. `M^(1)L^(8)T^(-2)K^(-1)`

Explanation

Here `P+(a)/(V^(2))` is given,
`:.` Dimensional formula of `(a)/(V^(2))=` Dimensional
`:.` Dimensional formula of a= Dimensional formula of `PV^(2)`
`=M^(1)L^(-1)T^(-2)(L^(3))^(3) " " [P]=[M^(1)L^(-1)T^(-2)]`
`=M^(1)L^(-1)(T^(-2))(L^(6))[V]=L^(3)`
`:. [a]=M^(1)L^(5)T^(-2)" "...(i)`
We have `V-b " " :. V=b`
`:.` Dimensional formula of V= Dimensional formula of b
`:. [b]=L^(3)....(ii)`
`:. [a*b]=M^(1)T^(5)L^(-2)(L^(3))=M^(1)L^(8)T^(-2)`