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Q. The longest wavelength in Balmer series of hydrogen spectrum will be

VMMC MedicalVMMC Medical 2004

Solution:

The longest wavelength in Balmer series of hydrogen spectrum occurs in third orbit. The relation for Balmer series is given by $ \frac{1}{\lambda }=R\left[ \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right] $ $ =R\left[ \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{3}}} \right] $ (where R has the value $ 1.098\times {{10}^{7}} $ per metre) $ =\frac{5}{36}\times 1.098\times {{10}^{7}} $ $ \lambda =\frac{36\times {{10}^{-7}}}{5\times 1.098} $ $ =6557\,\overset{\text{o}}{\mathop{\text{A}}}\, $