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Atoms

Question
CBSEENPH12048020

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

  • one

  • two

  • four

  • three

Solution

D.

three

Energy in the excited state = -13.6 + 12.1

                                         = -1.5 eV

∴      -13· 6n2 = -1.5

            n = 13·61·5

            n = 3

∴  Number of spectral lines

               = n n + 12

                = 3 3 -12

                 = 3