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Question

In the videos we successfully arrived at Rydberg's formula for Hydrogen atom from the Bohr's Postulates.
What do you think will the modified version of Rydberg's formula for Hydrogen like atoms.
 


A
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B
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C
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D
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Solution

The correct option is C
Form Hydrogen like atom with atomic number Z the energy of the atom if electron is in any orbit n is given by 
E=13.6z2n2
Now if electron jumps from n2 to n1 then ΔE=E2E1=13.6z2n22(13.6z2n12)
ΔE=13.6z2(1n121n22)
This loss in energy is given out as a photon whose wavelength is related to its energy by ΔE=hcλ
hcλ=13.6z2(1n121n22)
1λ=13.6hcz2(1n121n22)
We know from the videos that
R=13.6hc
1λ=Rz2(1n121n22)

Physics

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