Magnetic Effects Of Current Question 346

Question: An electron is travelling along the x-direction. It encounters a magnetic field in the y-direction. Its subsequent motion will be [AIIMS 2003]

Options:

A) Straight line along the x-direction

B) A circle in the xz-plane

C) A circle in the yz-plane

D) A circle in the xy-plane

Show Answer

Answer:

Correct Answer: B

Solution:

$ \overrightarrow{F}=-e(\overrightarrow{v}\times \overrightarrow{B}) $

Þ $ \overrightarrow{F}=-e[v\hat{i}\times B\hat{j}]=evB[-\hat{k}] $ i.e. Force on electron is acting towards negative z-axis. Hence particle will move on a circle in xz-plane.