Embibe Experts Solutions for Chapter: Physical World and Measurement, Exercise 2: Exercise-2

Force $F=\frac{X}{ \mathrm{density} }+C$ is a dimensionally correct relation, then $X$ will have dimensions -

The equation of a plane progressive wave is given by $y=A \sin \left(\omega t-kx\right).$ The dimensions of $\frac{\omega }{k}$ are that of $-$

If $L$ denotes the inductance of an inductor through which a current $i$ is flowing, the dimensions of $L{i}^2$ are-

Which of the following represents a volt?

Out of the following four dimensional quantities, which one quantity is to be called a dimensional constant?

Assertion: Unit of torque is joule.

Reason: Unit of torque should be $\mathrm{N} \mathrm{m}$ and that is called joule.

Assertion: Velocity, volume and acceleration can be taken as basic variables.

Reason: All the three are independent of each other.

Assertion: If two physical quantities have the same dimensions, then they can be certainly added or subtracted.

Reason: If the dimensions of both the quantities are same then both the physical quantities should be similar.