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An electron is moving in a cyclotron at a speed of 3.2 x 107 m s-1 in a magnetic field of 5 x 10-4 T perpendicular to it. What is the frequency of this electron?
(q = 1.6 x 10-19 C, me = 9.1 x 10-31 kg)
  • a)
    1.4 x 105 Hz
  • b)
    1.4 x 107 Hz
  • c)
    1.4 x 106 Hz
  • d)
    1.4 x 109 Hz
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An electron is moving in a cyclotron at a speed of 3.2 x 107m s-1 in a...
v = 3.2 x 107 m s-1 ;B = 5 x 10-4 T
The frequency of electron is
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Community Answer
An electron is moving in a cyclotron at a speed of 3.2 x 107m s-1 in a...
To find the frequency of the electron, we can use the equation for the cyclotron frequency:

f = qB / (2πm)

where:
f is the frequency of the electron
q is the charge of the electron (1.6 x 10^(-19) C)
B is the magnetic field (5 x 10^(-4) T)
m is the mass of the electron (9.1 x 10^(-31) kg)

Let's plug in the given values and solve for f.

Calculation:
f = (1.6 x 10^(-19) C) * (5 x 10^(-4) T) / (2π * 9.1 x 10^(-31) kg)

Using the given values, we can substitute the values into the equation:

f = (1.6 x 5) / (2π * 9.1) * (10^(-19) * 10^(-4)) / (10^(-31))

Simplifying the equation:

f = 8 / (2π * 9.1) * (10^(-19-4) / 10^(-31))

f = 8 / (2π * 9.1) * 10^(-23)

f = 8 * 10^(-23) / (2π * 9.1)

f ≈ 1.4 x 10^(-23) / 57

f ≈ 2.46 x 10^(-25)

Therefore, the frequency of the electron is approximately 2.46 x 10^(-25) Hz.

The correct answer is not listed in the options provided. Please double-check the given options or provide the correct answer.
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An electron is moving in a cyclotron at a speed of 3.2 x 107m s-1 in a magnetic field of 5 x 10-4 T perpendicular to it. What is the frequency of this electron?(q = 1.6 x 10-19C, me= 9.1 x 10-31kg)a)1.4 x 105Hzb)1.4 x 107Hzc)1.4 x 106Hzd)1.4 x 109HzCorrect answer is option 'B'. Can you explain this answer?
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