Which of the following is unitless quantity ?

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Gradient of a quantity $Q$ is given as $\frac{\Delta Q}{\Delta x}$

Thus, a gradient will be unitless if its numerator has same dimensions as denomi

Vedclass · Accepted Answer

Displacement gradient

Vedclass · Answer

Gradient of a quantity $Q$ is given as $\frac{\Delta Q}{\Delta x}$

Thus, a gradient will be unitless if its numerator has same dimensions as denominator, i.e. $x$ (which has the dimension $L$ ).

Thus, out of the options, Displacement has the dimension $L$ and hence its gradient will be dimensionless.

Similar Questions

Which of the following represents a $volt$

The unit of specific resistance is

Explain supplementary quantities and their unit of $SI$ system.

What are the units of $K = 1/4\pi {\varepsilon _0}$

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