An \alpha-particle and a proton of the same kinetic energy are in turn allowed to pass through a magnetic field \overrightarrow{B}, acting normal to the direction of motion of the particles. Calculate the ratio of radii of the circular paths described by them.

CBSE Class 12 Physics 2019 Delhi Set 1 Paper

Question : 8

Total: 27

An α-particle and a proton of the same kinetic energy are in turn allowed to pass through a magnetic field

→

, acting normal to the direction of motion of the particles. Calculate the ratio of radii of the circular paths described by them.

Solution:

Formula
Calculation of ratio of radii
‌ radius ‌r=‌

=‌

√2mk

Ka=K‌proton ‌
Ma=4mp
qa=2qp
‌

rα

=‌

√2mαK

qαB

√2mpK

qpB

=√‌

mα

×‌

qα

=√4×‌

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