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Multi-Electron Configurations and Orbital Diagrams

The correct o...

Question

The correct order of energy difference between adjacent energy levels in H atom :

A

E_{2} - E_{1} > E_{3} - E_{2} > E_{4} - E_{3}

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B

E_{2} - E_{1} > E_{4} - E_{3} > E_{3} - E_{2}

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C

E_{4} - E_{3} > E_{3} - E_{2} > E_{2} - E_{1}

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D

E_{3} - E_{2} > E_{4} - E_{3} > E_{2} - E_{1}

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Solution

The correct option is A $E_{2} - E_{1} > E_{3} - E_{2} > E_{4} - E_{3}$
Energy value of $E_{1}$ = 13.6 ev
Energy value of $E_{2}$ = 3.4ev
Energy value of $E_{3}$ = 1.51 ev
Energy value of $E_{4}$ = 0.85 ev
So $E_{2} - E_{1} = 10.2$
$E_{3} - E_{2} = 1.89$
$E_{4} - E_{3} = 0.66$
and 10.2 > 1.89 >0.66
So that $E_{2} - E_{1} > E_{3} - E_{2} > E_{4} - E_{3}$ is correct order.

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