Topic: Dimensions and dimensional analysis· Physics and Measurement

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

1. angular speed and stress

2. strain and angle

3. stress and angle

4. strain and arc

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Answer: 2. strain and angle

Key idea: Solid angle (like plane angle) is a ratio of two lengths/areas, so it is dimensionless.

Strain (change in length / length) and angle (arc / radius) are also dimensionless. Angular speed has dimension \(T^{-1}\), stress has \(ML^{-1}T^{-2}\), and arc has dimension \(L\).

Hence strain and angle: option 2.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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

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