If speed V , force F and acceleration a are chosen as the fundamental physical quantities, then the dimension of Young's modulus in terms of V , F and a are

Step-by-step solution

Let Y = f V ,   F ,   a ∴ Y = KV x F y a z ,             K → Unitless ∴ Y = V x F y a z ∴ ML - 1 T - 2 = LT - 1 x MLT - 2 y LT - 2 z ∴ M L - 1 = T - 2 =   M y L x + y + z T - x - 2 y - 2 z   ∴ y = 1 ;         x + y + z = - 1 ;         - x - 2 y - 2 z = 2 ∴ x + z = - 2                       ∴ x + 2 y + 2 z = 2 ∴ x + 2 z