Question

if density D frequency F snd velocity V are taken as fundamental quantities then the dimensions formula of kinetic energy is
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Answer 1

AnS:

D^(1) F^(-3) V^(5)

Explanation:

DIMENSIONAL FORMULA

density=ML^-3

frequency=T^-1

velocity=LT^-1

Kinetic energy=ML^(2)T^(-2)

Now let KE=D^(a)F^(b)V^(c)

implies ML^2T^-2=D^(a)F^(b)V^(c)

therefore ML^2T-2=(ML^-3)^a (T^-1)^b (LT^-1)^c

when we equate LHS and RHS we get a=1,b=-3,c=5              

HOPE THIS HELPS YOU