An electron is moving in a cyclotron at a speed of 3.2×107ms−1 in a magnetic field of 5×10−4 T perpendicular to it. What is the frequency of this electron? (q=1.6×10−19C, me=9.1×10−31kg)
1.4×105Hz
1.4×107Hz
1.4×106Hz
1.4×109Hz
A
1.4×106Hz
B
1.4×109Hz
C
1.4×107Hz
D
1.4×105Hz
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Solution
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The correct option is B1.4×107Hz Given,
v=3.2×107m/s
B=5×10−4T
me=9.1×10−31kg
q=1.6×10−19C
f=?
The frequency of the electron in cyclotron is given by
f=qB2πme
f=1.6×10−19×5×10−42×3.14×9.1×10−31
f=1.4×107Hz
The correct option is B.
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