The quantities which have the same dimensions as those of solid angle are:

The quantities which have the same dimensions as those of solid angle are:
  1. stress and angle
  2. strain and arc
  3. angular speed and stress
  4. strain and angle

Solution

Solid angle $d \Omega=\frac{d A}{r^2}$ has dimensions $\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]$ Strain $=\frac{\Delta l}{l}$ has dimensions $\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]$ Angle measured in radians is also dimensionless $\left[\mathrm{M}^0 \mathrm{~L}^{\circ} \mathrm{T}^0\right]$ $\theta=\frac{I}{r}$

Asked in: NEET 2024

Practice more Units and Dimensions questions on Aicharya