Modern Physics Ques 43

Passage

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.

  1. The quantum number $n$ of the state finally populated in $He^{+}$ ions is

$(2008,4$ M)

(a) $ 2$

(b) $ 3$

(c) $ 4$

(d) $ 5$

Show Answer

Answer:

Correct Answer: 43.(c)

Solution:

Formula:

Wavelength Corresponding To Spectral Lines:

Energy given by $H$-atom in transition from $n=2$ to $n=1$ is equal to energy taken by $He^{+}$atom in transition from $n=2$ to $n=4$.



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