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670.


Problem 47.3 (RHK)


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.


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