Q.

A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to the field B. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV,  the energy acquired by the alpha particle will be

Moderate

Unlock the Full Solution and Master the Concept

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya

a

1.5 MeV

b

1 MeV

c

4 MeV

d

0.5 MeV

answer is 2.

(Detailed Solution Below)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

The kinetic energy acquired by a charged particle in a uniform magnetic field B isK=q2B2R22m  as  R=mvqB=2mKqBwhere q and m are the charge and mass of the particle and R is the radius of circular orbit.∴ The kinetic energy acquired by proton is Kp=qp2B2Rp22mp and that by the alpha particle is Kα=qα2B2Rα22mα Thus, KαKp=qαqp2mpmαRαRp2 or Kα=Kpqαqp2mpmαRαRp2 Here, Kp=1MeV,qαqp=2,mpmα=14 and RαRp=1∴ Kα=(1MeV)(2)214(1)2=1MeV
ctaimg
Choose your Grade and Exam
edit icon

Connect with our

Expert Counsellors

access to India's best teachers with a record of producing top rankers year on year.

+91

We will send a verification code via OTP.

whats app icon