A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980 Ã… . The radius of the atom in the excited state, in terms of Bohr radius a₀ , will be:

Step-by-step solution

Energy of photon = hc = 12500 980 =12.75 eV Energy of electron in n ^ th orbit is given by En = -13.6 n ² E _ n - E ₁=-13.6 [ 1 n ² -1 1² ] 12.75=13.6 [ 1 1² -1 n ² ] n =4 Electron will excite to n =4 We know that ' R^ n² Radius of atom will be 16 a ₀