Dimensions: Practice Problem & Solution

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

Torque, work, and energy all have the same dimensions \([ML^2T^{-2}]\). Hence, \(\frac{\text{Torque}}{\text{Work}}\) and \(\frac{\text{Work}}{\text{Energy}}\) are both dimensionless, while \(\frac{\text{Torque}}{\text{Force}}\) has the dimension of length.