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The two physical quantities among the following which don't have the same dimensions areA.torque and workB.momentum and Planck's constantC.stress and Young's modulusD.speed and (μ0ɛ0)-1/2

Question

The two physical quantities among the following which don't have the same dimensions areA.torque and workB.momentum and Planck's constantC.stress and Young's modulusD.speed and (μ0ɛ0)-1/2

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Solution

The two physical quantities among the following which don't have the same dimensions are:

B. Momentum and Planck's constant

Here's why:

A. Torque and work both have the dimensions of energy (ML^2T^-2).

C. Stress and Young's modulus both have the dimensions of pressure (ML^-1T^-2).

D. Speed has the dimensions of LT^-1 and (μ0ɛ0)^-1/2 also has the dimensions of speed (LT^-1).

B. Momentum has the dimensions of MLT^-1, while Planck's constant has the dimensions of energy multiplied by time (ML^2T^-1). Therefore, they do not have the same dimensions.

This problem has been solved

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