Dual Nature Of Light Question 79

Question: $ {{O}^{++}},\ {{C}^{+}},\ H{{e}^{++}} $ and $ {{H}^{+}} $ ions are projected on the photographic plate with same velocity in a mass spectrograph. Which one will strike farthest [RPMT 2003]

Options:

A) $ {{O}^{++}} $

B) $ {{C}^{+}} $

C) $ H{{e}^{++}} $

D) $ H_{2}^{+} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ 2r=\frac{2mv}{qB},\Rightarrow 2r\propto \frac{m}{q} $
Þ $ \frac{m}{q} $ is maximum for $ {{C}^{+}} $