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An electron of mass m and charge e moves in a circular path in a magnetic field of flux ...

An electron of mass m and charge e moves in a circular path in a magnetic field of flux density B. How long does it take to complete one orbit?
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  • A \(\frac{2me}{B\pi}\)
  • B \(\frac{2B}{me\pi}\)
  • C \(\frac{2\pi m}{Be}\)
  • D \(\frac{Be}{2 \pi m}\)
Correct Answer: Option C
Explanation:
Motion of charged particles in Magnetic field
qvb = \(\frac{Mv^2}{r}\)
where q = e
Introducing Period (T) as time taken to complete one orbit = \(\frac{2πM}{qe}\)

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