A cyclotron, when being used to accelerate protons (mass = `1.67 xx 10^(-27) kg`, charge = `1.6 xx 10^(-19) C)` has a magnetic field of `(pi)/2` tesla applied normal to the plane of its does. What must be the value of the frequency of the applied alternating electric field to be used in it?

Explanation

Here mass of protons `m = 1.67 xx 10^(-27)kg`, charge on a proton `q = +1.6 xx 10^(-19) C`, magnetic field `B = pi/2 T`.
`:.` Frequency of applied alternating electric field `v = (qB)/(2 pi m) = (1.6 xx 10^(-19) xx (pi//2))/(2pi xx 1.67 xx 10^(-27)) = 2.4 xx 10^(7) Hz` .