In a cyclotron a deutron gains maximum energy of 30 Mev. What is the maximum energy gained by a proton for the same cyclotron setting?

Options

A. `30 MeV`
B. `40 MeV`
C. `50 MeV`
D. `60 MeV`

Answer

D

Explanation

Maximum energy E`=1/2(B^(2)q^(2)r^(2))/mtherefore Epropto q^(2)/m`as all other quantities are kept constant. `therefore E_p/E_d=(q_p/q_d)^(2) xx (m_d/m_p)=(q/q)((2m)/m)=2 thereforeE_q=2 xx E_d =2 xx 30 =60 Mev`.