MagnetismHard

Question

A proton and an α-particle, moving with the same velocity, enter a uniform magnetic field, acting normal to the plan of their motion. the ratio of the radii of the circular paths described by the proton and α-particle is :

Options

A.1 : 2
B.1 : 4
C.4 : 1
D.1 : 16

Solution

When a charged particle enters a field, it takes a circular enters a field, it takes a circular path. The radius of circular path is given by the relation
r =
For proton, r1 =
For α- particle, r2 =
⇒   r1 : r2 : : 1 : 2

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