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The emergence of line spectra from a gas when a current passesthrough it was an

ID: 1679588 • Letter: T

Question

The emergence of line spectra from a gas when a current passesthrough it was an observed phenomenon waiting for an explanation inthe early 20th century. The atomic line spectra coming fromelements such as hydrogen had been analyzed since the late 19thcentury. By studying the wavelength of the emerging radiation ofhydrogen, experimenters found (often by trial and error) that thewavelengths in those spectra were described by the formula

In 1913, Niels Bohr provided an explanation for the observationsmade in experiments by proposing that each electron in an atom hadonly certain allowable energy levels. Furthermore, he postulatedthat when an electron changed its energy level, it must emit orabsorb a single photon with the energy equal to the energydifference between the two levels.

=

Explanation / Answer

Ans.   change in energy level E of hydrogenatom when electron makes transition from n=3 to n=1 energylevel            1/=R*[1-1/9]            =1.026*10^-7 m                 =10.26 angstroms [Ans.]             E=h=hc/=1.938*10^-18 J=12.096 ev   [Ans.]
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