The dimensional formula of $\frac{B^2}{2\mu_0}$ is . . . . . . .

$A$ function $f(\theta)$ is defined as $f(\theta) = 1 - \theta + \frac{\theta^2}{2!} - \frac{\theta^3}{3!} + \frac{\theta^4}{4!} - \dots$. Why is it necessary for $f(\theta)$ to be a dimensionless quantity?

The dimensions of stress are

If $G$ is the gravitational constant and $u$ is the energy density,then which of the following quantities has the same dimensions as $\sqrt{uG}$?

Write the $CGS$ and $MKS$ units of the universal gravitational constant $G$. Also,write the dimensional formula of $G$.

If the dimensions of a physical quantity are given by $[L^{a} M^{b} T^{c}]$,then the physical quantity is: