JEE Physics · Hard

Circular Motion: Banked Road — No Slip MCQ

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

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Banked Road — No SlipHardQuestion 30644

Question

A vehicle goes around a banked curve (θ = 37°, r = 40 m, g = 10). The ideal speed (no friction needed) is:
  1. A
    17.3 m/s
    Correct
  2. B
    20 m/s
  3. C
    14.4 m/s
  4. D
    24 m/s

Correct answer

17.3 m/s

Explanation

v = √(rg tanθ) = √(40×10×tan37°) = √(400×0.75) = √300 ≈ 17.3 m/s.