## Question on structure of atom

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### Question on structure of atom

An x-ray photoelectron spectroscopy experiment with an unidentified element, X, displays an emission spectrum with four distinct kinetic energies:
5.9 × 10⁻¹⁷ J,2.53 × 10⁻¹⁸ , 2.59 × 10⁻²⁰ J, 2.67 × 10⁻²⁰ (Assume the incident light has sufficient energy to eject any electron in the atom.)

(a)Name all of the possible ground state atoms that could yield this spectrum.

(b)Calculate the binding energy of an electron in the 2p orbital of element X if the x-rays used for the spectroscopy experiment had an energy of $$2.68×10^{−16} J$$

(c)Consider both the filled and unfilled orbitals of element X. Determine the number of: (1) total nodes in a 4d orbital (2)angular nodes in the $$2p_y$$ orbital (3)degenerate 5p orbitals

Energy of photon= work function (ϕ) + KE ⇒ ϕ= Energy of photon-KE ⇒ ϕ= 2.68 × 10⁻¹⁶ - 0.0253 × 10⁻¹⁶ =$$2.6\underline{5}47$$ × 10⁻¹⁶ J , Hence, BE= ϕ= -2.65 × 10⁻¹⁶ J