In cyclotron for a given magnet radius of the semicircle traced by positive ion is directly proportional to (where v= velocity of positive ion)

Options

A. `v^(-2)`
B. `v^(-1)`
C. `v`
D. `v^(2)`

Answer

C

Explanation

In a cyclotron,`(mv^(2))/r=qvBtherefore r=(mv)/(qB)`Since m,q and B are constant,`r propto v`.