How many lines per centimeter are there on a diffraction grating that gives a first-order maximum for blue light at an angle of ?
The lines per cm for the first-order maximum are per centimeter.
The wavelength of the blue light is
The order of maximum is 1.
The angle at which the first-order maximum is observed
The equation of the constructive interference can be expressed as
Where, and m is the separation between slits, the wavelength of the incident light, and the angle made with the maximum and order of maximum, respectively.
Therefore, if we substitute the given data in equation (1) for m=1, we will get,
We then evaluate the number of lines per centimeter, , using the relation:
Substitute the value in the above expression, and we get,
Therefore, the lines for the first-order maximum are per centimeter.
(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm when they fall upon a single slit of width 2.00 µm. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.
In placing a sample on a microscope slide, a glass cover is placed over a water drop on the glass slide. Light incident from above can reflect from the top and bottom of the glass cover and from the glass slide below the water drop. At which surfaces will there be a phase change in the reflected light?
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