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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 th ratio `2 : 3`. The ratio of the radius of circular paths along which the two particles move is

A

`4 : 3`

B

`2 : 3`

C

`3 : 1`

D

`1 : 4`

Text Solution

Verified by Experts

The correct Answer is:
A
`R = (mv)/(Bq)`
`(R_(1))/(R_(2)) = ((v_(1))/(v_(2))) ((q_(2))/(q_(1))) = (2)/(3).(2)/(1) = (4)/(3)`
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