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

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4 : 3

2 : 3

3 : 2

1 : 4

Solution:

Given: The ion have equal masses Ratio of charges Ratio of speeds The necessary centripetal force for circular path is provided by magnetic force Hence

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