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Q.

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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a

ground state energy half of hydrogen atom.

b

Rydberg constant half of hydrogen atom.

c

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

d

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

answer is A, B, C, D.

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Detailed Solution

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μ=Reduced mass=meme2me=12me

E=(13.6ev)z2n2(μme)

Rydberg const,  R=e4802ch3(μme)

 Radius of the orbit  γ=(0.53A)n2z(meμ)

Ve=e220h(zn)Speed of electron in independent of its mass

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