Question 262: Atoms & Nuclei

Question

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 :

Accepted Answer

We know, kinetic energy K = qV
also $$K = {{{P^2}} \over {2m}}$$
$$ 	herefore $$ $$qV = {{{P^2}} \over {2m}} = {{{m^2}{v^2}} \over {2m}}$$
$$V = \sqrt {{{2qv} \over m}} $$
$$V \propto \sqrt {{q \over m}} $$
$${{{V_H}} \over {{V_{He}}}} = {{\sqrt {{e \over m}} } \over {\sqrt {{e \over {4m}}} }} = {2 \over 1}$$

Answer

2 : 1

Answer

1 : 2

Answer

5 : 7

Answer

10 : 7

Atoms & Nuclei

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 :

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