Show that the dispersion of a grating is
It is proved that the dispersion of a grating is
An optical element with a periodic structure that divides light into a number of beams that move in diverse directions is known as a diffraction grating.
The angular distance of the order diffraction pattern produced from a grating having line separation is
Here, is the wavelength of the incident light.
The dispersion is given by
Differentiate equation (i) with respect to to get
Substitute form of from equation (i) to get
The wings of tiger beetles (Fig. 36-41) are coloured by interference due to thin cuticle-like layers. In addition, these layers are arranged in patches that are across and produce different colours. The colour you see is a pointillistic mixture of thin-film interference colours that varies with perspective. Approximately what viewing distance from a wing puts you at the limit of resolving the different coloured patches according to Rayleigh’s criterion? Use as the wavelength of light and as the diameter of your pupil.
Figure 36–35 shows the bright fringes that lie within the central diffraction envelope in two double-slit diffraction experiments using the same wavelength of light. Is (a) the slit width , (b) the slit separation , and (c) the ratio in experiment B greater than, less than, or the same as those quantities in experiment A?
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