In a Michelson interferometer, in order to shift the pattern by a half a fringe, one...

In a Michelson interferometer, in order to shift the pattern by a half a fringe, one of the mirrors at the end of an arm must be moved by:

a. one wavelength

b. half a wavelength

c. one-quarter wavelength

d. it depends on the wavelength

e. it depends on which mirror is moved

Expert Solution

One standard use of the Michelson apparatus is to measure the wavelength of the incident light. One of the mirrors is moved closer or farther away while observing the fringe pattern. As the length of one arm changes, the fringes all move together, either in towards the center or out away from the center. When the pattern moves out by an amount such that each ring lies where the next one out used to be, the pattern is said to have moved by one fringe. Suppose that the pattern moves by N fringes while you move the mirror a distance l. Then the wavelength of the light is given by

Given that the pattern has been shifted only by a half fringe. So N= 1/2=0.5

The distance moved by the arm

Therefore one of the arms at the end should be moved by one - quarter wavelength.(C)

genius_generous answered 2 years ago

#2 a. Consider a Michelson interferometer with one fixed arm and one moveable arm, both of...

#2 a. Consider a Michelson interferometer with one fixed arm and one moveable arm, both of length 5 m. If 300 nm laser light is shown through the device, what percentage change in the length of the movable arm will shift the detector from constructive to destructive interference? b. A telescope is looking at a 2 star system. If the stars are 1.5 x 10^13 m apart and 9 x 10^16 m away, how big does the telescope opening have...

3.c Compare and contrast the interference fringe patterns of a Fabry-Perot interferometer and aMichelson interferometer, with...

3.c Compare and contrast the interference fringe patterns of a Fabry-Perot interferometer and aMichelson interferometer, with each interferometer illuminated in the same way by a divergent laser light beam and with equal path differences contributing to the interference. Be sure to note both how the patterns are similar and why the patterns are different.

For a Michelson interferometer, the distances of the two perpendicular mirrors from the beam splitter differ...

For a Michelson interferometer, the distances of the two perpendicular mirrors from the beam splitter differ by 1.7 mm. If the interferometer is equipped by a sodium source having n = 589 nm, (a) what is the order of the central spot? (b) Is the central spot dark or bright? (c) For the 1.7-mm separation between the two mirrors, find the angle of inclination of the observed third bright fringe relative to the optical axis. (d) This interferometer is used...

1) What is the highest order dark fringe, m,m, that is found in the diffraction pattern...

1) What is the highest order dark fringe, m,m, that is found in the diffraction pattern for light that has a wavelength of 621 nm and is incident on a single slit that is 1470 nm? 2) You stand on a straight desert road at night and observe a vehicle approaching. This vehicle is equipped with two small headlights that are 0.637 m apart. At what distance, in kilometers, are you marginally able to discern that there are two headlights...

1. A Michelson interferometer uses light with a wavelength of 562.446 nm. Mirror M2 is slowly...

1. A Michelson interferometer uses light with a wavelength of 562.446 nm. Mirror M2 is slowly moved a distance x, causing exactly 4.7200×102 bright-dark-bright fringe shifts to be observed starting and ending with a central bright spot. If the mirror moved only half the distance, what would the final image be? a. Bright spot b. Dark spot c. In between bright and dark spots d. Impossible to determine, more information needed 2. Starting at the surface of a convex mirror...

Draw the layout of a Michelson interferometer used for FT-IR spectrometry including all elements necessary for...

Draw the layout of a Michelson interferometer used for FT-IR spectrometry including all elements necessary for the generation of interferograms. Describe how the system functions and how spectra are generated.

what are the classical explanation and quantum explanation for the existence of the fringe pattern?

How does half-life and pattern of self administration affect withdrawal response?

1. The second order fringe when 700 nm light falls on a double slit is observed...

1. The second order fringe when 700 nm light falls on a double slit is observed at a 15° angle to the initial beam direction. How far apart are the slits? Ans: 5.41 x 10^-6 m 2. Light of frequency 6 x 10^14 Hz falls on a pair of slits that are 0.0002 cm apart. The center of the slits is 50 cm from the screen. How far from the central bright line will the first order line appear? Ans:...

One of the beams of an interferometer (Fig. 24-59) passes through a small glass container containing...

One of the beams of an interferometer (Fig. 24-59) passes through a small glass container containing a cavity 1.30 cm deep. When a gas is allowed to slowly fill the container, a total of 224 dark fringes are counted to move past a reference line. The light used has a wavelength of 530 nm. Calculate the index of refraction of the gas, assuming that the interferometer is in vacuum. (Give your answer to 4 decimal places.)

Question