An excited atom gives off a photon to reach its ground state. It is estimated that the average time of 10-8 sec separates the excitation of atom and consequent emission of photon. Estimate the inherent uncertainty in frequency of the emitted photon. (b) If this emitted photon is from an hydrogen atom in hydrogen atom gas, at equilibrium, at 300 K, what is the Doppler shift in frequency? (c) Compare uncertainty in (a) with the shift in (b).

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(a) An excited atom gives off a photon to reach its ground state. It is estimated that the average time of 10-8 sec separates the excitation of atom and consequent emission of photon. Estimate the inherent uncertainty in frequency of the emitted photon.
(b) If this emitted photon is from an hydrogen atom in hydrogen atom gas, at equilibrium, at 300 K, what is the Doppler shift in frequency?
(c) Compare uncertainty in (a) with the shift in (b).

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