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Question

Which of the following pairs of physical quantities has the same dimensions?

A
Work and power
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B
Momentum and energy
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C
Force and power
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D
Work and energy
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Solution

The correct option is B Work and energy
The dimension of the various quantities are:

Work : [ML2T2]
Power: [ML2T3]
Momentum: [MLT1]
Energy: [ML2T2]
Force: [MLT2]

So, the quantities with the same dimensional formula are work and energy.
Option (D) is correct.

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