The dimensional formula $M{L^2}{T^{ - 3}}$ represents:

The force of interaction between two atoms is given by $F = \alpha \beta \exp \left( - \frac{x^2}{\alpha kt} \right)$,where $x$ is the distance,$k$ is the Boltzmann constant,$T$ is temperature,and $\alpha$ and $\beta$ are two constants. The dimension of $\beta$ is:

Which one of the following is a dimensionless physical quantity?

What is the spring constant of a spring? Write its unit and dimensional formula.

Out of the following pairs,which one does not have identical dimensions?

The dimensions of torque are the same as that of