Modern Physics 1 Question 34
31. The speed of the particle that can take discrete values is proportional to
(2009)
(a) $n^{-3 / 2}$
(b) $n^{-1}$
(c) $n^{1 / 2}$
(d) $n$
Passage 3
In a mixture of ${H-He^{+}}^{\text {gas }}\left(He^{+}\right.$is singly ionized $He$ atom), $H$ atoms and $He^{+}$ions are excited to their respective first excited states. Subsequently, $H$ atoms transfer their total excitation energy to $He^{+}$ions (by collisions). Assume that the Bohr model of atom is exactly valid.
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Solution:
- From Eq. (i)
$$ \begin{array}{rlrl} & \therefore & p & \propto n \\ \text { or } & m v & \propto n \\ v & \propto n \end{array} $$
