A positronium atom consists of a positron and electron revolving around their common centre of mass. Then, as compared to hydrogen atom positronium atom has

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velocity of electron in first orbit same as in case of hydrogen atom.

Rydberg constant half of hydrogen atom.

radius of first orbit of electron double that in case of hydrogen atom.

ground state energy half of hydrogen atom.

answer is A, B, C, D.

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Detailed Solution

$μ = Reduced mass = \frac{m_{e} m_{e}}{{2m}_{e}} = \frac{1}{2} m_{e}$

$E = (- 13.6 ev) \frac{z^{2}}{n^{2}} (\frac{μ}{m_{e}})$

Rydberg const, $R = \frac{e^{4}}{8 \in_{0}^{2} c h^{3}} (\frac{μ}{m_{e}})$

Radius of the orbit $γ = (0.53 A^{\circ}) \frac{n^{2}}{z} (\frac{m_{e}}{μ})$

$V_{e} = \frac{e^{2}}{2 \in_{0} h} (\frac{z}{n})$ Speed of electron in independent of its mass

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