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Question: The shortest wavelength of the Paschen series of a hydrogen like atom (atomic number = Z) is the sam...

The shortest wavelength of the Paschen series of a hydrogen like atom (atomic number = Z) is the same as the shortest wavelength of the Lyman series of hydrogen atom. The value of Z

A

2

B

3

C

4

D

5

Answer

3

Explanation

Solution

1λ\frac{1}{\lambda}= RZ2 (1321)\left( \frac{1}{3^{2}} - \frac{1}{\infty} \right) = R.12(1121)R.1^{2}\left( \frac{1}{1^{2}} - \frac{1}{\infty} \right)

Ž Z = 3