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Question

Of the following quantities, which one has dimensions different from the remaining three:

A
Energy per unit volume
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B
Force per unit area
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C
Product of voltage and charge per unit volume
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D
Angular momentum per unit mass
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Solution

The correct option is D Angular momentum per unit mass

Energy per unit volume
=[ML2T2][L3]=[ML1T2]

Force per unit area
=[MLT2][L2]=[ML1T2]

Product of voltage and charge per unit volume
=V×QVolume=VltVolume
=Power×TimeVolume
[ML2T3][T][L3]=[ML1T2]

Angular momentum per unit mass:
=[ML2T1][M]=[L2T1]

So angular momentum per unit mass has different dimension.


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