Circular Motion: JEE — Tension Difference MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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JEE — Tension DifferenceHardQuestion 30666

Question

For any object moving in a vertical circle (radius r, mass m), the difference in tension at the bottom and top is:

A
mg
B
3mg
C
6mg
Correct
D
2mg

Correct answer

6mg

Explanation

T_b = mv_b²/r + mg. T_t = mv_t²/r − mg. v_b² = v_t² + 4gr. T_b − T_t = m(v_b²−v_t²)/r + 2mg = m×4g + 2mg = 6mg. This is always 6mg regardless of speed.

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