Magnetic Effects Of Current Question 255
Question: Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describes circular path of radius $ R_{1} $ and $ R_{2} $ respectively. The ratio of mass of X to that of Y is [IIT-JEE 1988; CBSE PMT1995; MP PMT 2001]
Options:
A) $ {{( \frac{R_{1}}{R_{2}} )}^{1/2}} $
B) $ \frac{R_{2}}{R_{1}} $
C) $ {{( \frac{R_{1}}{R_{2}} )}^{2}} $
D) $ \frac{R_{1}}{R_{2}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ r=\frac{\sqrt{2mk}}{qB}=\frac{1}{B}\sqrt{\frac{2mV}{q}} $
Þ $ r\propto \sqrt{m} $
Þ $ \frac{m_{1}}{m_{2}}={{( \frac{R_{1}}{R_{2}} )}^{2}} $
BETA
