CBSE Class 12 Physics 2019 Delhi Set 1 Paper

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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
B
, 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=
mv
qB
=
2mk
qB

Ka=Kproton
Ma=4mp
qa=2qp
rα
rp
=
2mαK
qαB
2mpK
qpB

=
mα
mp
×
qp
qα

=4×
1
2
=1
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