Z-component of angular momentum for a moving particle

Practice question

Question

A 4kg particle moves with velocity v\=−5i^+2j^m/s at r\=3i^m. What is the z-component of its angular momentum?

Options

Choose one · Correct answer highlighted

4 kg m²/s 5 kg m²/s 6 kg m²/s Correct 7 kg m²/s

Explanation

L = r×p = |i^j^k^300−520| = k^(3×2−0×(−5)) = 6k^kg m2/s. Z-component = 6kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 6 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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