Maximum kinetic energy gained by the charged particle in the cyclotron is independent of (a) radius of the dees (b) charge (c) mass (d) frequency of revolution

Answer: (d). At the dee radius R: vmax = qBR/m Kmax = 1/2mvmax² = (q²B²R²)/(2m) This depends on q, m, R and B, but frequency does not appear in it. So the answer is (d) frequency of revolution.

Maximum kinetic energy gained by the charged particle in the… | MHT CET 2019 (3 May, Shift 1)

Q86MHT CET 2019 · 3 MAY · SHIFT 1Easy

Moving Charge in a Magnetic Field

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

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Answer: (d)

At the dee radius $R$ : $v_{max} = \dfrac{qBR}{m}$
$K_{max} = \dfrac{1}{2}mv_{max}^2 = \dfrac{q^2B^2R^2}{2m}$
This depends on $q$ , $m$ , $R$ and $B$ , but frequency does not appear in it.
So the answer is (d) frequency of revolution.

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