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A cyclotron oscillator frequency is 10 MHz. If radius of its dees 60 cm, then magnetic field for accelerating the protons is (Given e = 1.6 x 10-19C, mp = 1.67 x 10-27 kg)
  • a)
    0.11 T
  • b)
    0.22 T
  • c)
    0.44 T
  • d)
    0.66 T
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A cyclotron oscillator frequency is 10 MHz. If radius of its dees 60 c...
Given data:
- Cyclotron oscillator frequency: 10 MHz
- Radius of dees: 60 cm
- Charge of proton (e): 1.6 x 10^-19 C
- Mass of proton (mp): 1.67 x 10^-27 kg

Formula:
- The cyclotron frequency is given by the formula:
f = qB / (2πm)

Calculations:
- The cyclotron frequency is given as 10 MHz, which is 10 x 10^6 Hz.
- Substituting the given values into the formula:
10 x 10^6 = (1.6 x 10^-19)B / (2π x 1.67 x 10^-27)
B = (10 x 10^6) x (2π x 1.67 x 10^-27) / (1.6 x 10^-19)
B = 0.66 T
Therefore, the magnetic field required for accelerating the protons in the cyclotron is 0.66 T, which corresponds to option 'D'.
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Community Answer
A cyclotron oscillator frequency is 10 MHz. If radius of its dees 60 c...
Option D : 0.66 T
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A cyclotron oscillator frequency is 10 MHz. If radius of its dees 60 cm, then magnetic field for accelerating the protons is (Given e = 1.6 x 10-19C, mp = 1.67 x 10-27 kg)a)0.11 Tb)0.22 Tc)0.44 Td)0.66 TCorrect answer is option 'D'. Can you explain this answer?
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