IIT-JEE 2010 · Paper 2 · Chemistry Q16

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ChemistrySingle correct+3 / -1Question 16 of 57

Passage

Paragraph for Questions 15 to 17

The hydrogen-like species $\ce{Li^{2+}}$ is in a spherically symmetric state $S_1$ with one radial node. Upon absorbing light the ion undergoes transition to a state $S_2$ . The state $S_2$ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

Energy of the state $S_1$ in units of the hydrogen atom ground state energy is

0.75

1.50

2.25

4.50

Answer and worked solution

Official answer: C

Energy of a hydrogen-like level. $E_n=\dfrac{Z^2}{n^2}E_H$ (with $E_H$ the hydrogen ground-state energy). For $\ce{Li^{2+}}$ , $Z=3$ , $n=2$ :
$E=\frac94E_H=2.25E_H.$

(C)

Topics:Bohr model

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IIT-JEE 2010 · Paper 2, Chemistry question 16