Physics

The relation between force 'F' and density 'd' is $$F=\displaystyle\frac{x}{\sqrt d}$$. The dimensions of $$x$$ are


ANSWER

$$\displaystyle [L^{-1{/2}}M^{3{/2}}T^{-2}]$$


SOLUTION
$$ [x]=[F]{ [d] }^{ 0.5 }=[ML{ T }^{ -2 }]{ [{ ML }^{ -3 }] }^{ 0.5 }=[{ M }^{ 1.5 }{ L }^{ -0.5 }{ T }^{ -2 }] $$
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