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AP EAMCET201822 Apr 2018Morning ShiftChemistryStructure of AtomActual

If the radius of electron orbit in the excited state of hydrogen atom is 476.1 pm , the energy of electron in that excited state in J is (Radius and energy of electron in the first orbit of hydrogen atom are 52.9 pm and -2.18 10⁻¹⁸ ~J respectively)

Options

  1. A-2.42 10⁻¹⁸
  2. B-19.62 10⁻¹⁸
  3. C-2.42 10⁻¹⁹
  4. D-6.05 10⁻¹⁹

Correct answer

C. -2.42 10⁻¹⁹

Step-by-step solution

Given : Radius of excited state of hydrogen aligned & atom =476 1 PM & aligned E₁ & =2.18 10⁻⁸ ~J / atom E_n & =-2.18 10⁻¹⁸ Z^2 n^2 r₁ & =529 pm r_n & = n^2 527 Z ; 476.1= n^2 52.7 Z n^2=9 & and E_n=E₃=- 2.18 Z^2 10⁻¹⁸ ~J 9 & =-2.42 10⁻¹⁹ ~J aligned aligned

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