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Dimensional Analysis

A pair of phy...

Question

A pair of physical quantities having the same dimensional formula are:

A

Force and Work

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B

Work and Energy

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C

Force and Torque

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D

Work and Power

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Solution

The correct option is A Work and Energy
Force $= M^{1} L^{1} T^{- 2}$
Work $= M L^{2} T^{- 2}$
Energy $= M L^{2} T^{- 2}$
Torque $= M L^{2} T^{- 2}$
Power $= M L^{3} T^{- 3}$
Hence, option B is correct.

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