Q10.5 In Young’s double-slit experiment using monochromatic light of wavelength , the intensity of light at a point on the screen where path difference is , is K units. What is the intensity of light at a point where path difference is ?
Given, in youngs double-slit experiment.
the wavelength of monochromatic light =
The intensity of light when the path difference is = K
Now,
As we know,
The phase difference is given by
also
Total Intensity
Let
Now, when path difference is
the phase difference angle
so,
Now, when path difference is
Intensity of light
Now comparing intensity at both cases
Hence intensity will reduce to one-fourth of initial when path difference changes from to .