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Question : 13
Total: 26
(i) Obtain the expression for the cyclotron frequency.
(ii) A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.
(ii) A deuteron and a proton are accelerated by the cyclotron. Can both be accelerated with the same oscillator frequency? Give reason to justify your answer.
Solution:
(i) Derivation of the expression for cyclotron frequency
(ii) Reason / justification for the correct answer2
(i) Suppose the positive charge ion with chargeq v
= q v B
r =
Frequency of revolution
f =
=
f =
(ii) No
The masses of the two particles, i.e. deuteron and proton, are different. Since (cyclotron) frequency depends inversely on the mass, they cannot be accelerated by the same oscillator frequency.
(ii) Reason / justification for the correct answer2
(i) Suppose the positive charge ion with charge
Frequency of revolution
(ii) No
The masses of the two particles, i.e. deuteron and proton, are different. Since (cyclotron) frequency depends inversely on the mass, they cannot be accelerated by the same oscillator frequency.
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