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Chapter 4: Q22E (page 913)

In a cyclotron, the orbital radius of protons with energy 300KeV is 16.0cm . You are redesigning the cyclotron to be used instead for alpha particles with energy 300 KeV . An alpha particle has charge q = +2e and mass m =6.64脳10-27kg . If the magnetic field isn鈥檛 changed, what will be the orbital radius of the alpha particles?

Short Answer

Expert verified

The orbital radius of the alpha particles is 16.0 cm

Step by step solution

01

Definition of Magnetic field

The term magnetic field may be defined as the area around the magnet behave like a magnet.

02

Determine the orbital radius of the alpha particles

The radius formula used R=2mKqB

For protonRP=2mpKeBand for alpha particle R伪=2m伪KeB

Divide R伪by Rpget

R伪Rp=2eB2m伪K2eB2mpKR伪Rp=1m伪2mp

The mass of proton is 14time mass of the alpha particle so

R伪Rp=14mp2mpRp=16.0cmR伪=16.0cm

Hence, the orbital radius of the alpha particles is 16.0 cm .

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