Question Detail
Question
The angular momentum L of a point particle about an axis is defined as the cross product of its position vector r and its linear momentum p. The magnitude of L can be written as
Correct Answer
Option A is the correct answer.
Detailed Explanation
Angular momentum is a vector quantity defined as L = r × p. The magnitude of this cross product is given by |L| = r p sin θ, where θ is the angle between the vectors r and p. For a particle moving in a circle, r and p are perpendicular, so L = rp = mvr.
Hint
The magnitude of a cross product depends on the product of the magnitudes and the sine of the angle between them.