A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980Å. The radius of the atom in the excited state, it terms of Bohr radius a_0,will be (hc = 12500 eV – Å)

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$4 a_{0}$

$16 a_{0}$

$9 a_{0}$

$25 a_{0}$

answer is D.

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Detailed Solution

Energy of photon $= \frac{12500}{980} = 12.75 e V$
$∴$ Electron will excite to n = 4
Since $R \propto n^{2}$
$∴$ Radius of atom (orbit of excited state) will be $16 a_{0}$

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