Given that the dimensions of angular momentum are [ML$^2$T$^{-1}$] and those of action are [ML$^2$T$^{-1}$], which of the following quantities is dimensionless?

Which quantity has the same dimensional formula as force times distance?

A quantity has the dimensions $[MLT^{-2}A^{-2}]$. Which of the following could it represent?

If C and R represent capacitance and resistance respectively then the dimensions of RC are

Which of these is a dimensionless quantity like solid angle?

The ratio of the length of an arc of a circle to its radius is a measure of:

If the velocity (v), acceleration (a), and time (t) are chosen as fundamental quantities, the dimensional formula for force is:

The dimensional formula for the gravitational constant G multiplied by the permittivity of free space $\epsilon_0$ is:

If the velocity of light $c$, gravitational constant $G$, and Planck's constant $h$ are chosen as fundamental units, then the dimensions of mass in this system are:

In the equation X$X = 3Y{Z^2}$ X and Z have dimensions of capacitance and magnetic induction respectively. In MKS system, the dimensional formula of Y is

The ratio of the area of a portion of a sphere's surface to the square of its radius has the same dimensions as which of the following?