JEE Main 2022PhysicsLaws of MotionHardMCQ

JEE Main 2022 — Laws of Motion Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction on the ball at point Q is A while angular position of point Q is α with respect to point P. Which of the following graphs represent the correct relation between A and α when ball goes from Q to R?

Choose an option

Show full solutionCorrect option: C
Correct answer
C

Step-by-step explanation

At angular position α as shown in the figure, applying conservation of mechanical energy

mgRsinα=12mv2⇒mv2R=2mgsinα

In the radial direction,

N-mgsinα=mv2R⇒N=3mgsinα

Now the ratio of centripetal force and normal reaction is,

A=mv2RN=2mgsinα3mgsinα=23.  Therefore, A is constant.

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About this question

This is a previous-year question from JEE Main 2022, covering the Laws of Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.