A proton moving in perpendicular magnetic field possess energy ' 
'. The strength of magnetic field is increased four times. But the proton is constrained to move in the path of same radius. The kinetic energy of proton will increase
Text Solution
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When a charge ' 
' is moving with speed ' 
' in a perpendicular magnetic field 
, it performs uniform circular motion.
Fore due to magnetic field is,
Here, velocity of proton is perpendicular to magnetic field.
Magnitude of force is, 
The centripetal force acting on charge is the force acting due to magnetic field on the charge, i.e., 
Kinetic energy of proton, K.E 
K.E 
K.E 
As charge 
, mass 
and radius 
are constant in both cases.
K.E 
K.E 
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