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Maximum kinetic energy gained by the charged particle in the cyclotron is independent of ______.

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Question

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of ______.

Options

  • radius ot the dees

  • charge

  • mass

  • frequency of revolution

MCQ
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Solution

Maximum kinetic energy gained by the charged particle in the cyclotron is independent of frequency of revolution.

Explanation:

Maximum kinetic energy gained by a charged particle in a cyclotron is given by

`"E"_"K" = ("q"^2"B"^2"R"^2)/"2m"`

where q = charge of the cyclotron,

B = intensity of magnetic field,

R = radius of orbit

and m = mass of the particle,

Hence, EK is independent of frequency of revolution.

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