Question

The cyclotron frequency is given by

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

In a cyclotron the centripetal force is balanced by magnetic force then

Where $\mathrm { v } = 2 \pi \mathrm { r } \mathrm { v } _ { \mathrm { c } }$

$\frac { \mathrm { qBr } } { \mathrm { m } } = 2 \pi \mathrm { rv } v _ { c } \quad \therefore v _ { c } = \frac { q B } { 2 \pi \mathrm { m } }$