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Question

Match the following physical quantities with their respective dimensional formula:


(a) Angular Momentum(e) [ML2T3]
(b) Impulse(f) [ML2T1]
(c) Pressure(g) [MLT1]
(d) Power(h) [ML1T2]

A
a-f, b-g, c-h, d-e
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B
a-f, b-g, c-e, d-h
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C
a-g, b-h, c-f, d-e
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D
a-g, b-h, c-e, d-f
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Solution

The correct option is A a-f, b-g, c-h, d-e
Angular momentum has formula J=mvr. Hence its dimensions are [J]=[ML2T1]

Impulse has a formula I=Ft. Hence its dimensions are [I]=[MLT1]

Pressure has a formula P=FA. Hence its dimensions are [P]=[ML1T2]

Power has a formula W=Fv. Hence its dimensions are [W]=[ML2T3]

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