Dimensions Of Physical Quantities - Practice Questions & MCQ

The dimension of physical quantity may be defined as the power to which fundamental quantities must be raised in order to express the given physical quantities.

For representing dimensions of different quantities, we use the following symbols:

1. Mass - M

2. Length - L

3. Time - T

4. Electric current - A

5. Temperature - K

6. Amount of substance- mol

7. Luminous intensity - cd

All these quantities will have the same dimensional formula which is equal to $M^0 L^0 T^{-1}$
While the SI unit of Frequency and velocity gradient is $\mathrm{sec}^{-1}$,
And SI unit of angular frequency and angular velocity is radians per sec
Note:-Angle is a dimensionless quantity

All these quantities will have the same dimensional formula which is equal to $M L^2 T^{-2}$
All these quantities will have the same unit in the SI system which is equal to $\mathrm{N}-\mathrm{m}$ or Joule

•  Momentum and Impulse both have the same dimensional formula which is equal to $M L T^{-1}$
  - And Both have the same SI unit which is equal to $\mathrm{kgms}^{-1}$
  - Angular Momentum and Angular Impulse have the same dimensional formula which is equal to $M L^2 T^{-1}$ and have the same SI unit which is equal to $\mathrm{kg}(\mathrm{m})^2(\mathrm{sec})^{-1}$