The dimensional formula of angular momentum is: MCQ with Answer and Explanation

The dimensional formula of angular momentum is:
A. [ML²T⁻²]
B. [MLT⁻¹]
C. [ML²T⁻¹]
D. [M⁰L⁰T⁰]
Answer: Option C
Solution (By JKExamLibrary)
Angular momentum L = r × p. Position r has [L], linear momentum p = mv has [MLT⁻¹], so L has [L][MLT⁻¹] = [ML²T⁻¹]. This matches Planck's constant dimensions. Option A is linear momentum; C is energy/torque; D is dimensionless. Memory aid: 'Angular momentum: [ML²T⁻¹]; same as action quantities'. This dimensional analysis question tests ability to derive formulas, crucial for competitive exams. Always break down compound quantities into fundamental dimensions (M, L, T) for verification and problem-solving.

This question belongs to: Science Physics

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