A hydrogen like atom has the energy (En) in its nth allowed orbit, given by En = \((\frac{a}{n^2})\) where α is a constant. The atom is in its mth excited state. It emits rediations in coming to ground state directly from the excited state. The emitted radiations are incident on a photosensitive material of threshold wavelength λ0 . The maximum K.E, of the emitted photoelectrons, equals twice the photoelectric work function of the material. The quantum number m equals.
(1) \((\frac{λ_0a}{λ_0a-2hc})^{1/2}+1\)
(2) \((\frac{λ_0a}{λ_0a-2hc})^{1/2}-1\)
(3) \((\frac{λ_0a}{λ_0a-hc})^{1/2}+1\)
(4) \((\frac{λ_0a}{λ_0a-3hc})^{1/2}-1\)