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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Units and Dimensions

NEET 2024 · Physics · Units and Dimensions

The quantities which have the same dimensions as those of solid...

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

Options

  1. Astress and angle
  2. Bstrain and arc
  3. Cangular speed and stress
  4. Dstrain and angle

Correct answer

D. strain and angle

Step-by-step solution

Solid angle dΩ=dAr2d \Omega=\frac{d A}{r^2} has dimensions \left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]StrainStrain=\frac{\Delta l}{l}hasdimensions[M0 L0 T0]has dimensions \left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right] Angle measured in radians is also dimensionless [M0 L∘T0]\left[\mathrm{M}^0 \mathrm{~L}^{\circ} \mathrm{T}^0\right] θ=Ir\theta=\frac{I}{r}
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