Q15. the lifetime of an atomic state is in the emission spectrum of this state is of the order of (a) 10 ev i nanosecond. the natural line width of the spectral

Q15. The lifetime of an atomic state is in the emission spectrum of this state is of the order of (a) 10 eV I nanosecond. The natural line width of the spectral line (b) 10 eV c)10 eV (d) 10 ev

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Chandra prakash

see attached file
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Somnath

Natural Broadening:- Every excited quantum state has an intrinsic lifetime before it spontaneously decays to a lower energy state. At the most fundamental level,transition between two states will not result in the absorption or emission of light of a single wavelength only. Instead a range of wavelengths can excite or de-excite quantum transitions. This natural broadening is a result of Heisenberg Uncertainty Principal which indicates that there is an uncertainty in the energy state of a system ∆E, due to an uncertainty in the lifetime of the state, ∆t, such that ∆E∆t ≈ h/2π. Here h= 6.626×10−34 JS is the Planck’s constant. Now see the attachment for answer. C is the correct answer.
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