Given below are two statements: Statement (I) : Planck's constant and angular momentum have the same dimensions. Statement (II) : Linear momentum and moment of force have the same dimensions. In light of the above statements, choose the correct answer from the options given below :

Step-by-step solution

The dimensions of the required quantities can be written as E = h ν ⇒ h = E ν ⇒ [ h ] = ML 2 T - 2 T - 1 = ML 2 T - 1 [ L ] = m v r = M LT - 1 L = ML 2 T - 1 [ p ] = m v = M LT - 1 = ML 1 T - 1 [ τ ] = F r = MLT - 2 L = ML 2 T - 2 where, h is Planck's constant, L is angular momentum, p is linear momentum and τ is moment of force. From the above analysis, it can be concluded that Statement I is true, but statement II is false.