JEE Main 2020PhysicsRotational MotionHardMCQ

JEE Main 2020 — Rotational Motion Question with Solution

JEE Main 2020 (02 Sep Shift 1)

Question

A cylindrical vessel containing a liquid is rotated about its axis so that the liquid rises at its sides as shown in the figure. The radius of vessel is 5 cm and the angular speed of rotation is ω rad s-1. The difference in the height, h in cm of liquid at the Centre of vessel and at the sides of the vessel will be :

 

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Show full solutionCorrect option: C
Correct answer
C25ω22g

Step-by-step explanation

ρdrω2r=ρgdh

ω2∫0Rr dr=g∫0hdh

ω2R22=gh

 h=ω2R22g=25ω22g cm.

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About this question

This is a previous-year question from JEE Main 2020, covering the Rotational Motion 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.