Magnetic Effects Of Current Question 286

Question: A proton and an electron both moving with the same velocity v enter into a region of magnetic field directed perpendicular to the velocity of the particles. They will now move in circular orbits such that [MP PMT 1995]

Options:

A) Their time periods will be same

B) The time period for proton will be higher

C) The time period for electron will be higher

D) Their orbital radii will be same

Show Answer

Answer:

Correct Answer: B

Solution:

We know that time period $ T=\frac{2\pi m}{qB},i.e.\ T\propto m $ (Since q and B are same) $ \because $ Mass of proton > Mass of electron
$ \therefore $ Time period of proton > Time period of electron