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 cyclotron
Force on charge = centripetal force
`therefore " " Bqv = (mv^(2))/(r)` or `r = (mv)/(Bq)`
`r prop v`