Q155 / 160 · TS EAMCET 2019 (03 May Shift 2) · Physics

To excite the spectral line of wavelength 4960 A∘ of an atom, an excitation energy of 7.7 eV is required. The ground state energy of the atom is 10.5 eV. The energies of two levels involved in the emission of 4960 A∘ line are (Assume he =1240 eV nm, where h is Planck's constant and c is speed of light)

  • A
    14.2eV,16.1eV
  • B
    12.2eV,18.2eV
  • C
    15.7eV,20.5eV
  • Correct answer
    D
    15.7eV,  18.2eV

Solution

Energy of excited state = Ground state energy + Excitation energy

E1=10.5+7.7=18.2 eV

Energy of photon is,

E=hcλ=124004960=2.5 eV

∴E2=E1-2.5 eV=18.2-2.5=15.7 eV

Hence, the correct answer is option: 'D'.

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