Physics And Measurement Question 262

Question: If velocity (V), force (F) and energy (E) are taken as fundamental units, then dimensional formula for mass will be

Options:

A) V2F0E3

B) V0FE2

C) VF2E0

D) V2F0E

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Let(M)=VaFbEc

Putting the dimensions of V, F and E, we have (M)=(LT1)a×(MLT2)b×(ML2T2)c

orM1=Mb+cLa+b+2cTa2b2c

Equating the powers of dimensions, we have b+c=1

a+b+2c=0;a2b2c=0 which give a =2,b=0andc=1.

Therefore (M)=(V2F0E)



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