Chittaranjan Dasgupta and Asok Kumar Das Solutions for Chapter: Dimensions of Physical Quantities and Dimensional Analysis, Exercise 1: EXERCISE

Dimensions of $\frac{1}{{\mu }_0{\in }_0}$, where the symbols have their usual meaning, are

Which of the following is dimensionless?

Which of the following sets have different dimensions?

If the velocity of light $c$, gravitational constant $G$ and Planck's constant $h$ are chosen as fundamental units, the dimensions of length $L$ in the new system is 

The dimension of magnetic field in $M\mathit{,}\mathit{ }L\mathit{,}\mathit{ }T$ and $C$ (Coulomb) is given as

Which of the following sets have different dimensions?

A student measured the length of a rod and wrote it as $3.5 \mathrm{cm}$. Which instrument did he use to measure it?

If force $\left(\mathrm{F}\right)$, velocity $\left(\mathrm{V}\right)$ and time $\left[\mathrm{T}\right]$ are taken as fundamental units, then the dimensions of mass are