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Question

Question: The wave number of the shortest wave length transition in Balmer series of atomic hydrogen will be :...

The wave number of the shortest wave length transition in Balmer series of atomic hydrogen will be :

A

4215Å

B

1437 Å

C

3942 Å

D

3647 Å

Answer

3647 Å

Explanation

Solution

1λshortest\frac{1}{\lambda_{shortest}}= RZ2 (1n121n22)\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right) = 109678 × 12 × (12212)\left( \frac{1}{2^{2}} - \frac{1}{\infty^{2}} \right)

λ = 3.647 × 10–5 cm = 3647 Å