Question 120: Magnetism and Matter

Question

A cyclotron is used to accelerate protons. If the operating magnetic field is $$1.0 \mathrm{~T}$$ and the radius of the cyclotron 'dees' is $$60 \mathrm{~cm}$$, the kinetic energy of the accelerated protons in MeV will be :
$$[\mathrm{use} \,\,\mathrm{m}_{\mathrm{p}}=1.6 	imes 10^{-27} \mathrm{~kg}, \mathrm{e}=1.6 	imes 10^{-19} \,\mathrm{C}$$ ]

Accepted Answer

$$R = {{mv} \over {Bq}} = {{\sqrt {2mK} } \over {Bq}}$$
$$ \Rightarrow K = {{{B^2}{q^2}{R^2}} \over {2m}}$$
$$ = {{{{(1.6 	imes {{10}^{ - 19}})}^2} 	imes {{0.6}^2}} \over {2 	imes 1.6 	imes {{10}^{ - 27}}}}$$ J
$$= 18$$ MeV

Answer

12

Answer

18

Answer

16

Answer

32

Magnetism and Matter

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