Question

The maximum kinetic energy of a proton ejected from a cyclotron with dees of radius \(70\) cm and oscillating frequency \(5\) MHz (in MeV) is \[ (\text{Mass of proton}=1.67\times10^{-27}\text{ kg}) \]

• A. \(2.53\)
• B. \(3.87\)
• C. \(1.46\)
• D. \(4.84\)

Hint:

For a cyclotron, \[ \boxed{ K_{\max} = \frac12m(2\pi fr)^2. } \] After obtaining energy in joules, convert it to MeV using \[ \boxed{ 1\text{ MeV}=1.6\times10^{-13}\text{ J}. } \]

Answer 1

The Correct Option is A