The radius of the orbit of an electron in a Hydrogenlike atom is \(...

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The radius of the orbit of an electron in a Hydrogenlike atom is \( 4.5 a_{0} \), where \( a_{0} \) is the Bohr radius. Its
\( \mathrm{P} \) orbital angular momentum is \( \frac{3 h}{2 \pi} \). It is given that \( h \) is W
Planck constant and \( R \) is Rydberg constant. The possible wavelength(s), when the atom de-excites, is (are)
(1) \( \frac{9}{32 R} \)
(2) \( \frac{9}{16 R} \)
(3) \( \frac{9}{5 R} \)
(4) \( \frac{4}{3 R} \)
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