A) \[[{{M}^{2}}{{L}^{2}}{{T}^{-2}}]\]
B) \[[M{{L}^{2}}{{T}^{-2}}]\]
C) \[[M{{L}^{2}}{{T}^{-1}}]\]
D) \[[M{{L}^{0}}{{T}^{-2}}]\]
Correct Answer: B
Solution :
Key Idea: Torque is measured in units of newton-metres. The force applied to a lever, multiplied by its distance from the lever's fulcrum is torque. \[i.e.,\] \[\tau =r\cdot F\] or \[\tau =N\text{-}m\] \[\therefore \] \[[\tau ]=[M{{L}^{2}}{{T}^{-2}}]\] Note: Torque is the time derivative of angular momentum. Also dimensions of work, kinetic energy and torque are same.
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