Hydrogen ion and singly ionized helium atom are accelerated, from rest, through same potential diffe

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2. Electric Potential and Capacitance

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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

$10:7$

D

$2:1$

(JEE MAIN-2020)

Solution

$q \Delta V =\frac{1}{2} mV ^{2} \Rightarrow v =\sqrt{\frac{2 q \Delta V }{ m }}$

$\therefore \frac{ V _{1}}{ V _{2}}=\sqrt{\frac{ e }{ m } \frac{4 m }{ e }}=2$

Standard 12

Physics

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