Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems?

Question

Accepted Answer

Correct answer: B. (b) The energy of an electron in the n^ th stationary state of a one-electron system is given by the Bohr's formula: E_n=-2.18 10^-18 Z^2n^2 J where Z is the atomic number and n is the principal quantum number. For option (a): Second orbit of He^+ (Z=2 ,n=2 ) E=-2.18 10^-18 2^22^2=-2.18 10^-18 J. (Incorrect sign in option) For option (b): Third orbit of Li^2+ (Z=3 ,n=3 ) E=-2.18 10^-18 3^23^2=-2.18 10^-18 J. (Correct) For option (c): Second orbit of H atom ( Z=1 ,n=2 ) E=-2.18 10^-18 1^22^2=-0.545 10^-18 J. (Incorrect value) For option (d): First orbit of He^+ (Z=2 ,n=1 ) E=-2.18 10^-18 2^21^2=-8.72 10^-18 J. (Incorrect sign in option)

$Which of the following statements regarding the energy of the stationary state is true in the following one - electron systems?$

Solution

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