An `alpha-"particle"` and a proton of the same kinetic energy are in turn allowed to pass through a magnetic field `overset(vec)(B)`, acting normal to the direction of motion of the praricles. Calculate the ratio of radii of the circular paths described by them.

Explanation

Given `q_(alpha) = 2e , q_(p) = e, K_(alpha) = K_(p) , m_(alpha) = 4m_(p) , r_(p) = ? `
Using the expression
` r = sqrt(2mK)/(qB) ` we have
`r_(alpha)/r_(p) = (sqrt(m_(alpha))/m_(p) xx q_(P)/q_(alpha)) = sqrt((4 m_(p))/m_(p)) xx e/(2e) = 1`