Question

In the cyclotron, as radius of the circular path of the charged particle increases
$\omega=$ angular velocity, $v=$ linear velocity

• A. Both $\omega $ and $v$ increase
• B. Only $\omega $ increases, $v$ remains constant
• C. Only $v$ increases, $\omega $ remains constant
• D. $v$ increases, $\omega $ decreases

Answer 1

Answer: (C)

In a cyclotron
$R=\frac{m v}{q B}$
$v=\frac{q B R}{m} $ and $ \omega =\frac{q B}{m}$
$\therefore \, \, R \propto v.$
$\omega ,q,m$ and $B$ are constant.