Atomic Structure - Result Question 74

####50. Energy of the state $S _1$ in units of the hydrogen atom ground state energy is

(2010)

(a) 0.75

(b) 1.50

(c) 2.25

(d) 4.50

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Answer:

Correct Answer: 50. (a)

Solution:

  1. Ground state energy of electron in H-atom $\left(E _H\right)$

$$ E _H=\frac{k Z^{2}}{n^{2}}=k(Z=1, n=1) $$

For $S _1$ state of $Li^{2+}$,

$$ E=\frac{k(3)^{2}}{2^{2}}=\frac{9}{4} k=2.25 k $$



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