Question

A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then
(a) $n\propto \mathrm{size}\mathrm{of}u$

(b) $n\propto u^2$

(c) $n\propto \sqrt{u}$

(d) $n\propto \frac{1}{u}$.

Answer 1

(d) $n\propto \frac{1}{u}$

The larger the unit used to express the physical quantity, the lesser will be the numerical value.

Example:
1 kg of sugar can be expressed as 1000 g or 10000 mg of sugar.
Here, g (gram) is the larger quantity as compared to mg (milligram), but the numerical value used with gram is lesser than the numerical value used with milligram.