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Question

An electron describing a circle is in a magnetic field of 104T . The angular frequency of revolution, if mass is 9.1×1031kg and charge is 1.6×1019C, is :

A
1.24×107rad/s
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B
2.42×107rad/s
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C
1.62×107rad/s
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D
1.758×107rad/s
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Solution

The correct option is C 1.758×107rad/s
Equating the magnetic force with centripetal force we get, mv2r=qvB
where all the terms have their usual meanings.
v=rBqm ......(1)
Since angular frequency w=vr
From (1), we get ω=Bqm
w=104×1.6×10199.1×1031rad/s
w=1.758×107 rad/sec

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