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MHT CET2007PhysicsGravitation

Ionization potential of hydrogen atom is 13.6 eV . Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV . According to Bohr's theory, the spectral lines emitted by hydrogen will be

Options

  1. Atwo
  2. Bthree
  3. Cfour
  4. Done

Correct answer

B. three

Step-by-step solution

Ionization energy corresponding to ionization potential =-13.6 eV Photon energy incident =12.1 eV So, the energy of electron in excited state =-13.6+12.1=-1.5 eV array lc ie, E_ n =- 13.6 n² eV -1.5= -13.6 n² n²= -13.6 -1.5 9 n=3 array ie, energy of electron in excited state corresponds to third orbit. The possible spectral lines are when electron jumps from orbit 3rd to 2nd; 3rd to 1 st and 2nd to 1 st. Thus, 3 spectral lines are emitted.

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