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AIIMS 2015
Exam
AIIMS
Year
2015
Subject
Physics
Chapter
Atomic Physics

AIIMS 2015 · Physics · Atomic Physics

Ionisation potential of hydrogen atom is 13.6 ~V . Hydrogen atoms...

Ionisation potential of hydrogen atom is 13.6 V13.6 \mathrm{~V}. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1eV12.1 \mathrm{eV}. The spectral lines emitted by hydrogen atoms according to Bohr's theory will be

Options

  1. Aone
  2. Btwo
  3. Cfour
  4. Dthree

Correct answer

D. three

Step-by-step solution

Energy in the excited state =−13.6+12.1=−1.5eV∴−13.6n2=−1.5=-13.6+12.1=-1.5 \mathrm{eV}\therefore-\frac{13.6}{n^2}=-1.5 or n=13.61.5=3∴n=\sqrt{\frac{13.6}{1.5}}=3\therefore \quad Number of spectral lines =n(n−1)2=3(3−1)2=\frac{n(n-1)}{2}=\frac{3(3-1)}{2}=3
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