A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 mathring A . The radius of the atom in the excited state, it terms of Bohr radius a0, will be: (hc = 12500 eV - mathring A )

Question

A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 mathring A . The radius of the atom in the excited state, it terms of Bohr radius a0, will be: (hc = 12500 eV - mathring A ) (A) 9a0 (B) 25a0 (C) 4a0 (D) 16a0

Tardigrade Admin · Accepted Answer

Energy of photon = (12500/980) = 12.75 eV ∴ Electron will excite to n = 4 Since 'R' propto n2 ∴ Radius of atom will be 16a0

Q. A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 $\overset{˚}{A}$ . The radius of the atom in the excited state, it terms of Bohr radius $a_{0}$ , will be : ( $h_{c}$ = $12500 e V - \overset{˚}{A}$ )

$9 a_{0}$

$25 a_{0}$

$4 a_{0}$

$16 a_{0}$

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

Q. A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980A˚. The radius of the atom in the excited state, it terms of Bohr radius a0​, will be : (hc​ = 12500eV−A˚)

9a0​

25a0​

4a0​

16a0​