| ASSERTION: If a proton and an a-particle enter a uniform magnetic field perpendicularly with the same speed, the time period of revolution of a-particle is double that of proton. |
| REASON: In a magnetic field, the period of revolution of a charged particle is directly proportional to the mass of the particle and is inversely proportional to charge of particle. |
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: A
Solution :
The period of a charged particle in a magnetic field is given by \[T=\frac{2\pi m}{qB}\] i.e. \[T\propto \frac{m}{q}\] we know that, \[{{m}_{p}}=m,\,{{m}_{a}}=4m,\,{{q}_{p}}=e,\,{{q}_{a}}=2e\] \[\therefore \,\,\,\,\,\,\frac{{{T}_{p}}}{{{T}_{a}}}=\frac{1}{2}\] Or \[{{T}_{a}}=2{{T}_{P}}\]
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