A 1.5 m diameter cyclotron is to accelerate protons to an energy of 8 Mev find magnetic field strength for this cyclotron reqd

Dear Student ,
Look we know that if the magnetic field strength is B acting on a charged particle of charge q & mass m then ,
$$\begin{gathered} B=\frac{\sqrt{2mE}}{qR} , where R =radius of the Dee in a cyclotron=\frac{1·5}{2}=0·75 . \\ So , B=\frac{\sqrt{2\times 1·67\times {10}^{-27}\times 8\times 1·6\times {10}^{-19}\times {10}^6}}{1·6\times {10}^{-19}\times 0·75}=0·545 T \end{gathered}$$

Regards