Magnetic Effects Of Current Question 142
Question: $ {{H}^{+}},,H{{e}^{+}} $ and $ {{O}^{++}} $ ions having same kinetic energy pass through a region of space filled with uniform magnetic field B directed perpendicular to the velocity of ions. The masses of the ions $ {{H}^{+}},,H{{e}^{+}} $ and $ {{O}^{++}} $ are respectively in the ratio $ 1:4:16 $ . As a result
Options:
A) $ {{H}^{+}} $ ions will be deflected most
B) $ {{O}^{++}} $ ions will be deflected least
C) $ H{{e}^{+}} $ and $ {{O}^{++}} $ ions will suffer same deflection
D) All ions will suffer the same deflection
Show Answer
Answer:
Correct Answer: C
Solution:
$ r\propto \frac{\sqrt{m}}{q} $
$ \Rightarrow r_{H}:r_{He}:r_{o}=\frac{\sqrt{1}}{1}:\frac{\sqrt{4}}{1}:\frac{\sqrt{16}}{2}=1:2:2 $ Radius is smallest for $ {{H}^{+}} $ , so it is deflected most.
BETA
