Question 138: Magnetism and Matter

Question

A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle :

Accepted Answer

$$R = {{mv} \over {Bq}} = {{\sqrt {2mK} } \over {Bq}}$$
$$ \Rightarrow R \propto \sqrt K $$
$$\Rightarrow$$ ratio = 2 : 1

Answer

1 : 1

Answer

1 : 2

Answer

2 : 1

Answer

1 : 4

Magnetism and Matter

A charge particle moves along circular path in a uniform magnetic field in a cyclotron. The kinetic energy of the charge particle increases to 4 times its initial value. What will be the ratio of new radius to the original radius of circular path of the charge particle :

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