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What is the ratio of radii of the orbits...

What is the ratio of radii of the orbits corresponding to first excited state and the ground state in a hydrogen atom.

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Radius r prop `n^2` for ground state n=1 and for the first excited state n=2 ,`r^2//r^1=2^2//1^2`=4:1
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The hydrogen-like species Ļi^(2+) is in a spherically symmetric state S_(1) with one radial node. Upon absorbing light the ion undergoes transition to a state S_(2) The state S_(2) has one radial node and its energy is equal to the ground state energy of the hydrogen atom. Energy of the state S_(1) in units of the hydrogen atom ground state energy is:

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