A cyclotron has an oscillatory frequency of 12 MHz and a dee

a-cyclotron-has-an-oscillatory-frequency-of-12-mhz-and-a-dee

A cyclotron has an oscillatory frequency of 12 MHz and a dee radius of 50 cm. Calculate the magnetic field required to accelerate deuterons of mass 3.3 × 10^-27 Kg and charge 1.6 × 10^-19 C.

A. 25.6 T

B. 75.5 T

C. 1.56 T

D. 7.56 T

The question was asked in quiz.

My question is from Motion in Combined Electric and Magnetic Field topic in division Moving Charges and Magnetism of Physics – Class 12

Correct choice is C. 1.56 T

To explain: Cyclotron frequency = \(\frac {qB}{2 \pi m}\).

B = \(\frac {(2 \pi mf_c)}{(q)}\)

B = \(\frac {(2 \, \times 3.142 \, \times 3.3 \, \times \, 10^{-27} \, \times \, 12 \, \times \, 10^6)}{(1.6 \, \times \, 10^{-19})}\)

B = 1.56 T