A proton and an alpha particle both enter a region of uniform magnetic field 
, moving at right angles to the field 
. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 
, the energy acquired by the alpha particle will be
Text Solution
Verified by ExpertsB
The kinetic energy acquired by a charged particle in a uniform magnetic field 
is
where 
and 
are the charge and mass of the particle and 
is the radius of circular orbit.
The kinetic energy acquired by proton is
and that by the alpha particle is 
Thus, 
or 
Here, 
and 
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