MCQ
The quantities which have the same dimensions as those of solid angle are:
- Astress and angle
- Bstrain and arc
- Cangular 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 $\left[\mathrm{M}^0\left\llcorner^0 \mathrm{~T}^0\right]\right.$
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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