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PhysicsMagnetismMagnetic ForceEasy2 minPYQ_2021
PhysicsEasynumerical

Anα-particle (mass4amu) and a singly charged Sulphur ion (mass32amu) are initially at rest. They are accelerated through a potentialVand then allowed to pass into a region of uniform magnetic field which is normal to the velocities of the particles. Within this region, theα-particle and the sulphur ion move in circular orbits of radiiRαandRS, respectively. The ratioRSRαis __________ .

Answer:
4.00
Solution:

When a particle moves on a circular path in a magnetic field then,

R=mvqB=2mEqB=2mqVqB=2mVqB

According to given data,

V=constant& B=constant

Rmq

RαRS=mαqα×qSmS=42×132

RαRS=116=14

Then, RSRα=4

Stream:JEE_ADVSubject:PhysicsTopic:MagnetismSubtopic:Magnetic Force
2mℹ️ Source: PYQ_2021

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