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RE-NEET2026Physics-Circular Motion

RE-NEET 2026 Physics Linear Momentum in Circular Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point A (θ = π/2) with identical uniform angular speeds in opposite directions, and meet again at point B (θ = −π/2). During this time, which of the following figures schematically represent the magnitude of the total linear momentum P of the system, as a function of θ?

Question diagram
A
Option A
B
Option B
C
Option C
D
Option D

Correct Answer

Option B

Detailed Explanation

The total linear momentum PP of the system is determined by the vector sum of the momenta of the two particles. As they move in opposite directions on a circular path, their momenta will cancel each other out at certain angles, leading to a minimum total momentum when they are directly opposite each other (at θ=0\theta = 0).

The correct graph (B) shows a minimum at θ=0\theta = 0 and maximum values at θ=±π2\theta = \pm \frac{\pi}{2}, accurately reflecting this behavior.

Other options fail because they either suggest a linear relationship (D), constant momentum (E), or incorrect curvature (C) that does not match the cancellation of momenta as the particles move.

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