Energy of an electron is given by E=−2.178×10−18JZ2/n2. Wave length of light required to excite an electron in an hydrogen atom from level n=1 to n=2 will be: h=6.62×10−34Jsand c=3.0×108ms−1

# Energy of an electron is given by $\mathrm{E}=-\left(2.178×{10}^{-18}\mathrm{J}\right)\left({\mathrm{Z}}^{2}/{\mathrm{n}}^{2}\right)$. Wave length of light required to excite an electron in an hydrogen atom from level $\mathrm{n}=1$ to $\mathrm{n}=2$ will be: $\left(\mathrm{h}=6.62×{10}^{-34}\mathrm{Js}$and $\mathrm{c}=3.0×{10}^{8}{\mathrm{ms}}^{-1}\right)$

1. A

$1.216×{10}^{-7}\mathrm{m}$

2. B

$2.816×{10}^{-7}\mathrm{m}$

3. C

$6.500×{10}^{-7}\mathrm{m}$

4. D

$8.500×{10}^{-7}\mathrm{m}$

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### Solution:

Thus, the wavelength,

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