Home Physics Motion in a Plane Uniform Circular Motion A particle of mass M is moving in a horizont…
Physics Motion in a Plane Uniform Circular Motion Single Correct MCQ
Published on: September 12, 2026

A particle of mass M is moving in a horizontal circle of radius R with uniform speed V. When it moves from one point to a diametrically opposite point, its

A
Kinetic energy changes by MV^{2}/4
B
Momentum does not change
C
Momentum changes by 2MV
D
Kinetic energy changes by mv^{2}

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Text Solution

Verified by Experts
The correct answer is:
B
Step 1: The particle is moving in a horizontal circle with uniform speed, meaning the speed remains constant throughout the motion.
Step 2: The kinetic energy (KE) of the particle is given by the formula:
$$ KE = \frac{1}{2} MV^2 $$
Since both mass (M) and speed (V) remain constant, the kinetic energy does not change as the particle moves around the circle.
Therefore, the change in kinetic energy is zero.
Step 3: Momentum is defined as the product of mass and velocity. While the direction of velocity changes, the magnitude of velocity does not, hence the magnitude of momentum remains the same throughout the motion.
Therefore, momentum does not change.
Hence, the correct answer is B.

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