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Energy of an electron is given by $E= -2.178 \times 10^{18} J \bigg(\large\frac{Z^2}{n^2}\bigg)$. Wavelength of light required to excite an electron in an hydrogen atom from level $n = 1$ to $n = 2$ will be

$\begin{array}{1 1} (1) 1.214 \times 10^{-7}\;m \\ (2) 2.816 \times 10^{-7}\;m \\ (3) 6.500 \times 10^{-7}\;m \\(4) 8.500 \times 10^{-7}\;m \end {array}$

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