A) speed
B) mass
C) charge
D) magnetic induction
Correct Answer: A
Solution :
| [a] In a circular motion in a uniform magnetic field, the necessary centripetal force to the charged particle is provided by the magnetic force, i.e., |
| \[\frac{m{{v}^{2}}}{r}=qvB\] |
| or \[r=\frac{mv}{qB}\] |
| Thus, the time period T is |
| \[T=\frac{2\pi r}{v}=\frac{2\pi }{v}\left( \frac{mv}{qB} \right)=\frac{2\pi m}{qB}\] |
| So, T is independent of its speed. |
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