Question

If force =(x/density)+C is dimensionally correct , the dimension of x are ?

Answer 1

check the Attachment

Answer 2

Given :

Force is given as :

$F=\dfrac{x}{density}+C$

To Find :

The dimension of x .

Solution :

We know , dimensions of Force is given by :

$F=[MLT^{-2}]$

Also , dimension of density is given by :

$D=[ML^{-3}]$

So , dimension of x is given by :

$\dfrac{x}{[ML^{-3}]}=[MLT^{-2}]\\\\x=[M^2L^{-2}T^{-2}]$

Therefore ,  the dimension of x is $[M^2L^{-2}T^{-2}]$ .

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Units and Dimensions

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