| ASSERTION: For a given charged particle moving in a given magnetic field, the radius of circular path is directly proportional to the momentum of particle. |
| REASON: The effect of magnetic field on a charged particle changer only its path from linear to circular. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: B
Solution :
When a charge particle enters in a magnetic field, a Lorentz force acts on the particler which provide the necessary centripetal force for circular motion, hence for Circular motion of charged particle. \[\frac{m{{v}^{2}}}{r}=qvB\] Or \[r=\frac{mv}{qB}\] For a given charged particle moving in a given magnetic field, \[r\propto \,mv\]i.e. radius of circular path is directly proportional to momentum of the particle.
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