MCQ
Hydrogen ion and singly ionized helium atom are accelerated, from rest, through the same potential difference. The ratio of final speeds of hydrogen and helium ions is close to......
- A$5:7$
- B$1:2$
- C$10:7$
- ✓$2:1$
✓
Answer
Correct option: D.
$2:1$
d
$q \Delta V =\frac{1}{2} mV ^{2} \Rightarrow v =\sqrt{\frac{2 q \Delta V }{ m }}$
$q \Delta V =\frac{1}{2} mV ^{2} \Rightarrow v =\sqrt{\frac{2 q \Delta V }{ m }}$
$\therefore \frac{ V _{1}}{ V _{2}}=\sqrt{\frac{ e }{ m } \frac{4 m }{ e }}=2$
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