Two prominent lines of the Balmer series of hydrogen have measured wavelengths (red)…

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Two prominent lines of the Balmer series of hydrogen have measured wavelengths 656.3 nm656.3\,\text{nm} (red) and 486.1 nm486.1\,\text{nm} (blue-green). (i) Identify the pairs of principal quantum numbers (n1,n2)(n_{1},n_{2}) corresponding to each of these lines. (ii) Using the two measured wavelengths, calculate a value for the constant that appears in the hydrogen spectrum equation. (iii) Compare your calculated value with the accepted value 1.097×107 m−11.097\times10^{7}\,\text{m}^{-1} and comment on the percentage difference.

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