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Question

Physics Question on Atoms

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

A

2

B

3

C

4

D

5

Answer

2

Explanation

Solution

(Z2)(13.616)=(13.64)( Z^2) \left( \frac{13.6}{16} \right) = \left( \frac{13.6}{4} \right) Z2Z^2 = 4 or Z = 2