Magnetic Effects Of Current Question 331
Question: Two particles A and B of masses $ m_{A} $ and $ m_{B} $ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are $ v_{A} $ and $ v_{B} $ respectively, and the trajectories are as shown in the figure. Then [IIT-JEE (Screening) 2001]
Options:
A) $ m_{A}v_{A}<m_{B}v_{B} $
B) $ m_{A}v_{A}>m_{B}v_{B} $
C) $ m_{A}<m_{B}\text{and}v_{A}<v_{B} $
D) $ m_{A}=,m_{B},\text{and }v_{A}=v_{B} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ r=\frac{mv}{qB}\Rightarrow r\propto mv $ (q and B are constant) $ \because \ r_{A}>r_{B}\Rightarrow m_{A}v_{A}>m_{B}v_{B} $
BETA
