Proton and singly ionized of `U^(235)` & `U^(238)` are passed in turn (which means one after the other and not at the same time) through a velocity selectro and then enter a uniform magnetic field. The protons describe semicircles of radius `10 mm`. The separation between the ions of `U^(235)` and `U^(238)` after describing semicircle is given by

Options

A. `60 mm`
B. `30 mm`
C. `2350 mm`
D. `2380 mm`

Answer

A

Explanation

`R=(mv)/(qB)`
`R_(P)=(m_(P)v)/(eB)`
`R_(235_(upsilon))=(m_(235_(upsilon).)v)/(eB)`
`Deltax=2xx(3M_(P)v)/(eB)=6xx10mm=60mm`.