A diffraction grating with is illuminated with light of wavelength . A very wide viewing screen is behind the grating.
What is the distance between the two bright fringes? How many bright fringes can be seen on the screen?
The bright fringe's distance is
The number of bright fringes on screen is
To begin, remember that we won't utilise the little angle approximation in optical device issues since the angle in these situations is never small. Now we must determine the gap between the two brilliant fringes, each of which is on the other side of the centre bright fringe. We'll measure the space between the two fringes, and also the spacing between the two fringes are double that measurement "(due to symmetry)". the shape of the standards for colorful fringes is
is what we've been looking for. Thus
Given that the optical device contains , the space between any two successive slits is
We can use the subsequent relationship to compute the space of the primary bright fringe from the centre maximum now that we all know the angle of the primary bright fringe
As a result, the gap between the two brilliant fringes with is
The maximum no of bright fringes of central increases as
So,the number of fringes on screen is
A helium-neon laser is built with a glass tube of inside diameter , as shown in FIGURE P33.62. One mirror is partially transmitting to allow the laser beam out. An electrical discharge in the tube causes it to glow like a neon light. From an optical perspective, the laser beam is a light wave that diffracts out through a -mm-diameter circular opening.
a. Can a laser beam be perfectly parallel, with no spreading? Why or why not?
b. The angle to the first minimum is called the divergence angle of a laser beam. What is the divergence angle of this laser beam?
c. What is the diameter (in mm) of the laser beam after it travels
d. What is the diameter of the laser beam after it travels ?
A Michelson interferometer uses light from a sodium lamp. Sodium atoms emit light having wavelengths and . The interferometer is initially set up with both arms of equal length , producing a bright spot at the center of the interference pattern. How far must mirror be moved so that one wavelength has produced one more new maximum than the other wavelength?
A 600 line/mm diffraction grating is in an empty aquarium tank. The index of refraction of the glass walls is . A helium-neon laser is outside the aquarium. The laser beam passes through the glass wall and illuminates the diffraction grating.
a. What is the first-order diffraction angle of the laser beam?
b. What is the first-order diffraction angle of the laser beam after the aquarium is filled with water ?
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