Physics

Always in a physical quantity, the numerical value is inversely proportional to its units.
$$N\propto \dfrac{1}{U}$$


SOLUTION

Let, n1 is the magnitude of any physical quantity in unit system u1 and n2 is the magnitude of the same physical quantity in the unit system u2.

So, from the units conversion formula of physical quantity,

$$ {{N}_{1}}{{U}_{1}}={{N}_{2}}{{U}_{2}} $$

$$ so, $$

$$ \dfrac{{{N}_{1}}}{{{N}_{2}}}=\dfrac{{{U}_{2}}}{{{U}_{1}}} $$

$$ N\propto \dfrac{1}{U} $$

So, magnitude of the physical quantity is inversely proportional to unit of physical quantity.

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