A) Torque and work
B) Angular momentum and work
C) Energy and Youngs modulus
D) Light year and time
Correct Answer: A
Solution :
Torque is defined as product of force into perpendicular distance from axis of rotation. \[\tau =F\times r\] \[\therefore \] Dimensions of \[\tau =[ML{{T}^{-2}}][L]=[M{{L}^{2}}{{T}^{-2}}]\] Also,\[work=force\times displacement\] Work \[=[ML{{T}^{-2}}][L]=[M{{L}^{2}}{{T}^{-2}}]\] Hence, work and torque have same dimensions.
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