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Atoms

Question
CBSEENPH12047847

Ionisation potential of hydrogen atom is 13.6 eV. Hydrogen atom on the ground state rarely excited by monochromatic radiation of photon 12.1 eV. The special line emitted by a hydrogen atom according to Bohr's theory will be

  • one

  • two

  • three

  • four

Solution

C.

three

            En  = -13.6n2eV

According to Bohr's model

   E1 = -13.6 , E3 = -1.5

From the relation

       E3 - E1 = (-1.5) - (-13.6)

                   = 12.09

      E3 - E1 = 12.1 eV

As the energy is equal to the energy taken by n=1, n = 2,  n=3 Hence there will be three spectral line.