A proton (mass ), a deuteron and an alpha particle are

Chapter 20, Problem 20

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(III) A proton (mass \(m_{\mathrm{p}}\) ), a deuteron \(\left(m=2 m_{\mathrm{p}}, Q=e\right)\), and an alpha particle \(\left(m=4 m_{\mathrm{p}}, Q=2 e\right)\) are accelerated by the same potential difference \(V\) and then enter a uniform magnetic field \(\overrightarrow{\mathbf{B}}\), where they move in circular paths perpendicular to \(\overrightarrow{\mathbf{B}}\). Determine the radius of the paths for the deuteron and alpha particle in terms of that for the proton.

Equation Transcription:

Text Transcription:

m_p

(m=2m_p,Q=e)

(m=4m_p,Q=2e)

V

overrightarrow^B

overrightarrow^B

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