The equation of state of some gases can be expressed as $ \bigg(p+\large\frac{a}{v^2}\bigg)$$(v-b)=RT$ Here $p$ is pressure, $v$ is volume , $a,b,R$ are constants. The dimensions of $ 'a'$ are

Question

\[(a)\;ML^5T^{-2}\quad (b)\;ML^{-1}T^{-2}\quad (c)\;M^0L^3T^0\quad (d)\;M^0L^6T^0\]