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

JIPMER JIPMER 2015

Solution:

## For hydrogen atom spectrum, $\dfrac{1}{\lambda} =R \left(\dfrac{1}{n_{f}^{2}} -\dfrac{1}{n_{i}^{2}}\right)$ Therefore, for $\ce{6 \, to\, 5; \lambda = \dfrac{30}{R}}$ for $\ce{5 \, to\, 2; \lambda = \dfrac{10}{3R}}$ for $\ce{4 \, to\, 1; \lambda = \dfrac{16}{15R}}$ for $\ce{2 \, to\, 1; \lambda = \dfrac{4}{3R}}$ Hence, wavelength is maximum for transition 6 to 5.

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