Taking force, length and time to be the fundamental quantities .Find the displacement, density, momentum and energy.

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Solution

Since Density is $\frac{M a s s}{V o l u m e} .$

So we can express $m a s s = \frac{F o r c e}{a c c e l e r a t i o n} = F o r c e \times \frac{t i m e^{2}}{d i s p l a c e m e n t .}$

So density will be,

$D e n s i t y = \frac{f o r c e \times t i m e \times t i m e}{d i s p l c e m e n t \times l e n g t h \times l e n g t h \times l e n g t h}$

So the dimension will be $[F^{1} T^{2} L^{- 4}]$

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Similar questions

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

(a) density,

(b) pressure,

(d) energy.

^{'} L^{'}

^{'} F^{'}

^{'} T^{'}

(P)

(A)

(T)

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