Two ions having masses in the ratio 1:1 and charges 1:2 are projected into uniform magnetic field perpendicular to the field with speeds in the ratio 2:3. The ratio of the radii of circular paths along which the two particles move is

Options

A. `4:3`
B. `2:3`
C. `3:1`
D. `1:4`

Answer

A

Explanation

Radius of charged particle moving in uniform magnetic field,
`r=mV/Bq`
`r_(1)/r_(2)=((m_(1))/(m_(2)))xx((V_(1))/(V_(2)))xx((q_(2))/(q_(2)))`
`impliesr_(1)/r_(2)=1/1xx2/3xx2/1=4/3`
`therefore r_(1):r_(2)=4:3`