With light from a gaseous discharge tube incident normally on a grating with distance between adjacent slit centres, a green line appears with sharp maxima at measured transmission angles We have to compute the wavelength of the green line that best fits the data.
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Solution: Click For PDF Version A principal maximum occurs when the path difference between rays from any pair of adjacent slits, which is given by , is equal to an integral number of wavelengths, or
This is called the grating equation. In our problem the slit separation d is The principal maxima at correspond to . So from this measurement the value of wavelength will be The maxima observed at correspond to , respectively. From these observations, we find the value of wavelength to be
The maxima observed at correspond to , respectively. From these observations, we find the value of wavelength to be
From these measurements, we find the average value of the measured wavelength. It is
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