General Physics

If the velocity(V),force(F) and energy(E) are taken as fundamental units, then dimensional formula if mass will be _____?

help me please

paul dinesh

15 Years agoGrade

2 Answers

vikas askiitian expert

Approved Tutor Answer15 Years ago

let the dimensional formula of mass is M = E^aF^bV^c

E=ML²T^-2 , F =MLT^-2 , V=LT^-1

on putting these

M = M^a+b L^2a+b+c T^-2a-2b-c

equating powers ,we get

a=1 , b=0, c=-2

dimensional formula of mass= E¹.F⁰ V^-2

Kushagra Madhukar

5 Years ago

Dear student,

Please find the solution to your problem.

Let the dimensional formula of mass is M = E^aF^bV^c

E = ML²T^-2 , F = MLT^-2 , V = LT^-1

on putting these

M = M^a+b L^2a+b+c T^-2a-2b-c

equating powers ,we get

a = 1 , b = 0, c = – 2

Hence, dimensional formula of mass = E¹.F⁰ V^-2= E/V²

Thanks and regards,

Kushagra

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If the velocity(V),force(F) and energy(E) are taken as fundamental units, then dimensional formula if mass will be _____? help me please

paul dinesh

2 Answers

vikas askiitian expert

Kushagra Madhukar

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help me please

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