A hydrogen ion of mass m and charge q travels with a speed v along a circle of radius r in a uniform magnetic field of flux density B. Obtain the expression for the magnetic force on the ion and determine its time period.

Explanation

Magnetic force on the hydrogen ion=Centripetal force
or `qvB sin 90^(@)=(mv^(2))/r`
or `r=(mv)/(qB)`
Time period `T=(2pir)/v=(2pi)/v.(mv)/(qB)=(2pim)/(qB)`