Question

A physical quantity is measured and its value is found to be equal to $nu$, where $n$ is the numerical value and $u$ is the unit. Which of the following relations is true?

• A. $n\propto u^2$
• B. $n\propto u$
• C. $n\propto \sqrt{u}$
• D. $n\propto \frac{1}{u}$

Answer 1

The correct option is D $n\propto \frac{1}{u}$

For any physical quantity, the product of magnitude and its unit is constant.
$\Rightarrow n\times u=$ constant
$\Rightarrow n\propto \frac{1}{u}$