A) Moment of inertia and moment of force
B) Impulse and momentum
C) Work and torque
D) Angular momentum and Plancks constant
Correct Answer: A
Solution :
[a] Dimensions of moment of inertia \[=[M{{L}^{2}}]\] Dimensions of moment of force \[=[M{{L}^{2}}{{T}^{-2}}]\] So, dimensions are not same. [b] Dimensions of impulse \[=[ML{{T}^{-1}}]\] Dimensions of momentum \[=[ML{{T}^{-1}}]\] So, dimensions are same. [c] Dimensions of work \[=[M{{L}^{2}}{{T}^{-2}}]\] Dimensions of torque \[=[M{{L}^{2}}{{T}^{-2}}]\] So, dimensions are same. [d] Dimensions of angular momentum \[=[M{{L}^{2}}{{T}^{-1}}]\] Dimensions of Plancks constant \[=[M{{L}^{2}}{{T}^{-1}}]\] So, dimensions are same.
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