the maximum K.E acquired in a cyclotron of radius R and magnetic induction B is
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Answer:
Let r
0
be maximum radius of circular path of positive ion.
Let v
0
be maximum speed of positive ion.
qv
0
B=
r
0
mv
0
2
v
0
=
m
qBr
0
Maximum kinetic energy of ion =
2
mv
0
2
=
2
1
m(
m
qBr
0
)
2
=
2m
B
2
q
2
r
0
2
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