Magnetic Effects Of Current Question 250
Question: Two identical particles having the same mass m and charges $ +q $ and $ -q $ separated by a distance d enter a uni-form magnetic field B directed perpendicular to paper inwards with speeds $ v_{1} $ and $ v_{2} $ as shown in figure. The particles will not collide if
Options:
A) $ d>\frac{m}{Bq}(v_{1}+v_{2}) $
B) $ d<\frac{m}{Bq}(v_{1}+v_{2}) $
C) $ d>\frac{2m}{Bq}(v_{1}+v_{2}) $
D) $ v_{1}=v_{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] The particles will not collide if $ d>2(r_{1}+r_{2}) $ Or $ d>2( \frac{mv_{1}}{Bq}+\frac{mv_{2}}{Bq} ) $ or $ d>\frac{2m}{Bq}(v_{1}+v_{2}) $
BETA
