Angular momentum of a solid sphere example

Practice question

Question

A solid sphere of mass 3kg and radius 0.2m rotates at 15rad/s. What is its angular momentum about its axis?

Options

Choose one · Correct answer highlighted

0.6 kg m²/s 0.72 kg m²/s Correct 0.8 kg m²/s 1.0 kg m²/s

Explanation

I = 25MR2 = 25×3×(0.2)2 = 0.048kg m2. L = Iω = 0.048×15 = 0.72kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 0.72 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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