In the equation X + a Y 2 [ Y - b ] = R T , X is pressure, Y is volume, R is universal gas constant and T is temperature. The physical quantity equivalent to the ratio a b is:

Step-by-step solution

X   &   a Y 2 have the same dimensions. Y   &   b also have the same dimensions. Therefore, a Y 2 = M L - 1 T - 2 ⇒ a = M L - 1 T - 2 × L 6 = M L 5 T - 2 and b = L 3 . So, the dimensions of a b is, a b = M L 5 T - 2 L 3 = M L 2 T - 2 . This is the dimensional form of energy. Hence, this is the right option.