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  • If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:Option: 1 <img a

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:

Option: 1

\mathrm{FV}^{-2} \mathrm{~T}^{2}


Option: 2

\mathrm{FV}^{4} \mathrm{~T}^{-6}


Option: 3

\mathrm{FV}^{-4} \mathrm{~T}^{-2}


Option: 4

\mathrm{F}^{2} \mathrm{~V}^{-2} \mathrm{~T}^{6}


Answers (1)

best_answer

\rho=F^{x} V^{y} T^{\mathrm{z}}
{\left[M L^{-3}\right]=\left[M L T^{-2}\right]^{x}\left[\mathrm{LT}^{-1}\right]^{y}[T]^{\mathrm{z}}}
1=x                                       x=1
-3=x+y                         y=-4
0=-2 x-y+z               z=2 x+4=2-4=-2
\rho=\mathrm{F} \mathrm{V}^{-4} T^{-2}

 

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Rishi

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