H2P-435

Deflection of charged beams

H2 Physics · JC 2 · Medium · Deflection of charged beams

In a cyclotron, protons move in a uniform magnetic field of flux density

2.0\,\text{T}

. What is the required frequency of the alternating voltage between the Dees so that protons are accelerated correctly each time they cross the gap?

(Take proton charge

e = 1.6\times10^{-19}\,\text{C}

, mass

m = 1.67\times10^{-27}\,\text{kg}

. Use

f = \dfrac{Be}{2\pi m}

$3.0\times10^{7}\,\text{Hz}$
$4.8\times10^{7}\,\text{Hz}$
$9.6\times10^{7}\,\text{Hz}$
$3.0\times10^{6}\,\text{Hz}$

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