JEE Main 2023PhysicsMotion In Two DimensionsEasyMCQ

JEE Main 2023 — Motion In Two Dimensions Question with Solution

JEE Main 2023 (25 Jan Shift 2)

Question

Two objects are projected with same velocity u however at different angles α and β with the horizontal. If α +β= 90°, the ratio of horizontal range of the first object to the 2nd object will be :

Choose an option

Show full solutionCorrect option: D
Correct answer
D 1 : 1

Step-by-step explanation

Given: α+β=90°

Range of the first projectile:

R1=u2sin2αg

Range of the second projectile:

R2=u2sin2βg=u2sin(180°-2α)g=u2sin2αg

As we can see, both are equal.

R1=R2

Therefore,

R1:R2=1:1

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About this question

This is a previous-year question from JEE Main 2023, 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.