JEE Main 2014PhysicsMotion In One DimensionHardMCQ

JEE Main 2014 — Motion In One Dimension Question with Solution

JEE Main 2014 (06 Apr)

Question

From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the particle, to hit the ground, is n times that taken by it to reach the highest point of its path.The relation between H, u and n is :

Choose an option

Show full solutionCorrect option: C
Correct answer
C2g H = nu2(n - 2)

Step-by-step explanation



nt AB = t AB + t BC + t CD

n - 1 t AB = t BC + t CD         ....(1)

n - 1 u g = u g + t CD

∴   n - 2 u g = t CD        ...(2)

H + h = 1 2 gt BD 2

H + u 2 2 g = 1 2 g n - 1 u g 2    ...from (1)

∴    H + u 2 2 g = n - 1 2 u 2 2 g

∴     H = u 2 2 g n - 1 2 - 1

2g H = nu2(n - 2)

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About this question

This is a previous-year question from JEE Main 2014, 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.