Question

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

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

Answer 1

The correct option is A $n\propto \sqrt{u}$

A physical quantity is measured as a product of numerical value and unit.
$p=nu\dots \dots \left(i\right)$
Where
$n=$ numerical value
$u=$ unit
from $\left(i\right)$ equation, $p=$ constant
Therefore
$n\propto \frac{1}{u}$
Final answer: $\left(d\right)$.