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Question

Physics Question on Atoms

In hydrogen atom, which one of the following transitions produce a spectrum line of maximum wavelength?

A

6 to 5

B

5 to 2

C

4 to 1

D

2 to 1

Answer

6 to 5

Explanation

Solution

For hydrogen atom spectrum,
1λ=R(1nf21ni2)\frac{1}{\lambda} =R \left(\frac{1}{n_{f}^{2}} -\frac{1}{n_{i}^{2}}\right)
Therefore, for 6to5;λ=30R {6 \, to\, 5; \lambda = \frac{30}{R}}
for 5to2;λ=103R {5 \, to\, 2; \lambda = \frac{10}{3R}}
for 4to1;λ=1615R {4 \, to\, 1; \lambda = \frac{16}{15R}}
for 2to1;λ=43R {2 \, to\, 1; \lambda = \frac{4}{3R}}
Hence, wavelength is maximum for transition 6 to 5.