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2. structure of atom — Chemistry STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
With increasing principal quantum number, the energy difference between adjacent  energy levels in $H-$ atom
  • ✓
    decreases
  • B
    increases
  • C
    remains constant
  • D
    decreases for high value of $z$ and increases for low value of $z$
✓

Answer

Correct option: A.
decreases
a
$\mathrm{E}_{2}-\mathrm{E}_{1}=13.6 \times 1^{2}\left(\frac{1}{1^{2}}-\frac{1}{2^{2}}\right)=13.6 \times \frac{3}{4}$

$\mathrm{E}_{3}-\mathrm{E}_{2}=13.6 \times 1^{2}\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)=13.6 \times \frac{5}{36}$

$\mathrm{E}_{4}-\mathrm{E}_{3}=13.6 \times 1^{2}\left(\frac{1}{3^{2}}-\frac{1}{4^{2}}\right)=13.6 \times \frac{9}{144}$

Energy difference decreases as principal quantum number increases

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