A proton and an
-particle are simultaneously projected in opposite direction into a region of uniform magnetic field of
perpendicular to the direction of the field. After some time it is found that the velocity of proton has changed in direction by
. Then at this time, the angle between the velocity vectors of proton and
-particle is
Text Solution
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Given, magnetic field, 
Time-period of revolution of proton in the magnetic field
) is given by

Time-period of revolution of
-particle in the magnetic field
is given by
….(ii)
Dividing Eq. (i) and (ii), we get

Hence, the time-period of
-particle is double of the proton, i.e. if proton covers
of angle from its starting, then
-particle will cover
of the angle.
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