In the cylotron, as radius of the circular path of the charged particle increases (`omega`= angular velocity, v = linear velocity )

Options

A. both `omega` and v increases
B. `omega` only increases, v remains constant
C. v increases, `omega` remains constant
D. v increases, `omega` decreases

Answer

C

Explanation

`Bqv=(mv^(2))/(r )`
`v=((Bq)/(m))r` As r increases, v increases.
`omega=(v)/(r )=(Bq)/(m)` = constant (if mass is taken constant)