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Questions  

A proton is rotating in a circular path of radius r in a uniform magnetic field of induction B with a kinetic energy 4 MeV. Then the kinetic energy of an α - particle rotating in a circular path of radius 2r in the same magnetic field will be 

 

a
8 Mev
b
16 Mev
c
4 Mev
d
24 Mev

detailed solution

Correct option is B

For a charged particle of mass m carrying a charge Q, rotating in circular path of radius r in a magnetic field of induction B, speed V  = rω = QBm.r∴ Kinetic energy k=12mv2=12m.QBrm2⇒k=Q2B2r22m∴kαkp=2ee2.2rr2.m4m=4⇒kα=4 x 4 Mev=16 MeV

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