JEE Main 2021PhysicsMotion In One DimensionHardMCQ

JEE Main 2021 — Motion In One Dimension Question with Solution

JEE Main 2021 (27 Jul Shift 1)

Question

A ball is thrown up with a certain velocity so that it reaches a height h. Find the ratio of the two different times of the ball reaching h3 in both the directions.

Choose an option

Show full solutionCorrect option: C
Correct answer
C3-23+2

Step-by-step explanation

u=2gh
Now,

S=h3, a=-g

S=ut+12at2
h3=2ght+12-gt2
t2g2-2ght+h3=0

From quadratic equation

t1, t2=2gh±2gh-4 g2h3 g

t1t2=2gh-4gh32gh+4gh3

=3-23+2

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About this question

This is a previous-year question from JEE Main 2021, covering the Motion In One Dimension 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.