Question

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

Answer 1

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,

$N_1{U}_1=N_2{U}_2$

$so,$

$\frac{N_1}{N_2}=\frac{U_2}{U_1}$

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

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