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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Chemistry
Chapter
Structure of Atom

AIIMS 2017 · Chemistry · Structure of Atom

Ionisation potential of hydrogen atom is 13.6 eV . Hydrogen atom in...

Ionisation potential of hydrogen atom is 13.6eV13.6 \mathrm{eV}. Hydrogen atom in ground state is excited by monochromatic light of energy 12.1eV12.1 \mathrm{eV}. The spectral lines emitted by hydrogen according to Bohr's theory will be

Options

  1. Aone
  2. Btwo
  3. Cthree
  4. Dfour

Correct answer

C. three

Step-by-step solution

Since ionisation potential of hydrogen atom is 13.6eV13.6 \mathrm{eV}. ∴E1=−13.6eV\therefore \quad E_1=-13.6 \mathrm{eV} Now, En−E1=−13.6n2−(−13.6)=12.1E_n-E_1=\frac{-13.6}{n^2}-(-13.6)=12.1−13.6n2+13.6=12.1∴n=3\begin{aligned} & \frac{-13.6}{n^2}+13.6=12.1 \\ & \therefore \quad n=3\end{aligned}$AfterabsorbingAfter absorbing12.1 \mathrm{eV},theelectronof, the electron of\mathrm{H}−atomisexcitedto-atom is excited to3^{\text{rd }}shell.Thus,possibletransitionsare3i.e.,shell. Thus, possible transitions are 3 i.e.,3 \rightarrow 2,,2 \rightarrow 1andand3 \rightarrow 1$
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