MCQ
The quantities which have the same dimensions as those of solid angle are:
  • A
    stress and angle
  • B
    strain and arc
  • C
    angular speed and stress
  • strain and angle

Answer

Correct option: D.
strain and angle
d
Solid angle $d \Omega=\frac{d A}{r^2}$ has dimensions $\left[\mathrm{M}^0\left\llcorner^0 \mathrm{~T}^0\right]\right.$

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 $\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]$

$\theta=\frac{l}{r}$

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