JEE Physics · Hard

Circular Motion: Maximum Friction on Curve MCQ

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

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Maximum Friction on CurveHardQuestion 30633

Question

A car (mass m) on a flat circular road (radius r) has μₛ = 0.6. Maximum safe speed is: (g = 10)
  1. A
    √(0.6×r×10)
  2. B
    √(6r)
    Correct
  3. C
    0.6r/g
  4. D
    6√r

Correct answer

√(6r)

Explanation

Maximum centripetal force = friction = μmg. mv²/r = μmg → v_max = √(μrg) = √(0.6×r×10) = √(6r).