Question

If force,time and velocity are treated as fundamental quantites then dimensional formula of energy will be

Answer 1

Answer:

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Explanation:

If force, time and velocity are treated as fundamental quantities then dimensional formul

quantities then dimensional formula of energy will be

(A) (FTV]

(B) (FT2V]

(C) [FTV2]

(D) [FT2V2]

10. Taking force, length and time to be the fundamental quantities find the dimensions of pressure

(A) [FL-2]

(C) [FL-2T2]

(B) [FL-2T2]

(D) [FLT-1)

Answer 2

Answer:

Explanation:

Mass can be written as

m =Fa Tb Vc m =Fa Tb Vc  

where F is force  

V is velocity  

T is time

In terms of dimensions

[M] =[M1L1T−2]a [L1T−1]b [T1]c[M] = [MaLa+bT−2a−b+c][M] =[M1L1T-2]a [L1T-1]b [T1]c[M] = [MaLa+bT-2a-b+c]

On comparing the powers on right hand side and left hand side we get

a=1  , b = -1  , c = 1

therefore

m = F V−1 T