JEE Main 2022PhysicsMagnetic Effects of CurrentMediumNumerical

JEE Main 2022Magnetic Effects of Current Question with Solution

JEE Main 2022 (27 Jun Shift 2)

Question

A deuteron and a proton moving with equal kinetic energy enter into to a uniform magnetic field at right angle to the field. If rd and rp are the radii of their circular paths respectively, then the ratio rdrp will be x:1 where x is _____ .

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

As we know, radius of circular path followed by charged particle under perpendicular magnetic field is given by,

R=mvqB and KE=12mv2

Therefore,

R=2mKEqB  Then, Rmq

RdRp=mdmp×qpqd=21×11=2:1

Thus, x=2.

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About this question

This is a previous-year question from JEE Main 2022, covering the Magnetic Effects of Current 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.