shows the light intensity on a screen behind a double slit. The slit spacing is and the screen is behind the slits. What is the wavelength (in ) of the light?
The light's wavelength is
The wavelength of visible light is to , and this is where we understand about the widths of multiple colors in the visible spectrum of light.
As per the diagram,since the width of four fringes is , the width of one fringe will be
We understand that the fringe thickness in the double-slit experiment is calculated as
The wavelength by
FIGURE shows light of wavelength incident at angle on a reflection grating of spacing . We want to find the angles um at which constructive interference occurs.
a. The figure shows paths and along which two waves travel and interfere. Find an expression for the path-length difference . 3
b. Using your result from part a, find an equation (analogous to Equation for the angles at which diffraction occurs when the light is incident at angle . Notice that m can be a negative integer in your expression, indicating that path is shorter than path .
c. Show that the zeroth-order diffraction is simply a “reflection.” That is,
d. Light of wavelength 500 nm is incident at on a reflection grating having reflection lines/mm. Find all angles at which light is diffracted. Negative values of are interpreted as an angle left of the vertical.
e. Draw a picture showing a single light ray incident at and showing all the diffracted waves at the correct angles.
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 Michelson interferometer operating at a wavelength has a -long glass cell in one arm. To begin, the air is pumped out of the cell and mirror is adjusted to produce a bright spot at the center of the interference pattern. Then a valve is opened and air is slowly admitted into the cell. The index of refraction of air at pressure is . How many brightdark-bright fringe shifts are observed as the cell fills with air?
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