Dimensional Formula & Dimensional Equations

Unspecified year 9 questions

1. The dimensional formula for relative density is
2. The dimensions of speed and velocity are
3. The division of energy by time is X. The dimensional formula of X is same as that of
4. The dimensions of energy density of magnetic field $(1/2)(B^{2}/\mu_{0})$, where B is magnetic field and $\mu_{0}$ is the magnetic permeability of vacuum, is
5. The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be
6. Identify the pair of physical quantities which have different dimensions:
7. If the dimensions of a physical quantity are given by $M^{a}L^{b}T^{c}$, then the physical quantity will be
8. Which of the following physical quantities have the same dimensions?
9. A quantity X is given by $\varepsilon_{0}L(\Delta V/\Delta t)$ where $\varepsilon_{0}$ is the permittivity of the free space, L is a length, $\Delta V$ is a potential difference and $\Delta t$ is a time interval. The dimensional formula for X is the same as that of