JEE Main 2024PhysicsMotion In Two DimensionsEasyNumerical

JEE Main 2024 — Motion In Two Dimensions Question with Solution

JEE Main 2024 (31 Jan Shift 1)

Question

A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of Hh for which the body will take the maximum time to reach the ground is _____.

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

Total time of flight =T can be written as, 

T=2hg+2H-hg

For maximum time =dTdh=0

⇒2g12h-12H-h=0

⇒H-h=h

⇒h=H2⇒Hh=2

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About this question

This is a previous-year question from JEE Main 2024, covering the Motion In Two Dimensions 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.