Question

A beam of equally charged particles after being accelerated through a voltage V enters into a magnetic field B as shown in Fig. 1.31. It is found that all the particles hit the plate between C and D. Find the ratio between the masses of the heaviest and lightest particles of the beam.

Answer 1

`qV=1/2mv^2 implies v=sqrt((2qV)/m)`
`r=(mv)/(qB)=m/(qB)sqrt((2qV)/m)=sqrt((2mV)/(qB^2)) implies mpropr^2`
`(m_("heavy"))/(m_("light"))=((1+d)/l)^2`