Home/
Competitive Exams/
JEE Main & Advanced/
Physics/
Circular Motion/
Question 30612
JEE Physics · Medium

Circular Motion: Vertical Circle — Speed at Bottom MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Vertical Circle — Speed at BottomMediumQuestion 30612

Question

If the minimum speed at the top of a vertical circle (radius r) is √(gr), the corresponding minimum speed at the bottom is:
  1. A
    √(gr)
  2. B
    √(3gr)
  3. C
    √(5gr)
    Correct
  4. D
    √(7gr)

Correct answer

√(5gr)

Explanation

Energy conservation from top to bottom: ½mv_b² = ½mv_t² + mg(2r). With v_t = √(gr): v_b² = gr + 4gr = 5gr → v_b = √(5gr).

Review Circular Motion notesStart timed chapter practice