(Ill) A proton (mass m p ), a deuteron (m =2mp.Q =e). and

QUESTION:

(II) A proton (mass \(\left.m_p\right)\), 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.