A particle of mass m carrying charge `'+q_(1)'` is revolving around a fixed charge `'-q_(2)'` in a circular path of radius r. Calculate the period of revolution.

Explanation

`(1)/(4pi epsilon_(0))(q_(1)q_(2))/(r^(2)) = m r omega^(2) = (4pi^(2) m r)/(T^(2))`,
`T^(2) = ((4pi epsilon_(0))r^(2) (4pi^(2) mr))/(q_(1)q_(2))`
or `T = 4pi r sqrt((pi epsilon_(0) mr)/(q_(1)q_(2)))`
and also we can see say that `(q_(1)q_(2))/(4pi epsilon_(0) r^(2)) = (mv^(2))/(r )`
`rArr = sqrt((q_(1)q_(2))/(4pi epsilon_(0) mr))`