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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)/(qB) implies (r_(1))/(r_(2)) = ((m_(1))/(m_(2))) ((v_(1))/(v_(2))) ((q_(2))/(q_(1)))`
`implies (r_(1))/(r_(2)) = 1 xx 2 xx (2)/(3)= (4)/(3)`
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