JEE Main 2019PhysicsMotion In Two DimensionsMediumMCQ

JEE Main 2019 — Motion In Two Dimensions Question with Solution

JEE Main 2019 (12 Apr Shift 1)

Question

A shell is fired from a fixed artillery gun with an initial speed u such that it hits the target on the ground at a distance R from it. If t1 and t2 are the values of the time taken by it to hit the target in two possible ways, the product t1t2 is:

Choose an option

Show full solutionCorrect option: C
Correct answer
C2R/g

Step-by-step explanation

We know for complementary angle range is same for same projection speed.
t1=2usin(θ)g ….. (i)
t2=2usin(90-θ)g ….. (ii)
R=2u2sinθcosθg .… (iii)
From equation (i) and (ii)
t1t2=4 U2sinθ cosθg2
(Using the value of R from equation iii)
t1t2=2Rg

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About this question

This is a previous-year question from JEE Main 2019, 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.