Consider the figure below where light is shone through a two slits a large distance from ascreen, resulting in the following pattern.| | |m = 07.5 mmThe two slits are separated by a distance of 200 μm. Suppose the angle to the 7th order brightfringe (m = 7) is 1.7 degrees.What is the wavelength of the light shining through these slits?Enter your answer in units of (nano-meters (nm)), rounded to the nearest one.

Answered: Image /qna-images/answer/79ef4221-4040-421c-beac-ad730e2a82d6.jpg

Answered: Consider the figure below where light…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 10P

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Two slits of width 2 m, each in an opaque material, are separated by a center-to-center distance of 6 m. A monochromatic light of wavelength 450 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. (a) How many peaks of the interference will be observed in the central maximum of the diffraction pattern? (b) How many peaks of the interference will be observed if the slit width is doubled while keeping the distance between the slits same? (c) How many peaks of interference will be observed if the slits are separated by twice the distance, that is, 12 m, while keeping the widths of the slits same? (d) What will happen in (a) if instead of 450-nm light another light of wavelength 680 nm is used? (e) What is the value of the ratio of the intensity of the central peak to the intensity of the next bright peak in (a)? (f) Does this ratio depend on the wavelength of the light? (g) Does this ratio depend on the width or separation of the slits?
Michelson's interferometer played an important role in improving our understanding of light, and it has many practical uses today. For example, it may be used to measure distances precisely. Suppose the mirror labeled 1 in the figure below is movable. If the laser light has a wavelength of 654.0 nm, how many fringes will pass across the detector if mirror 1 is moved just 1.960 (mm)? If you can easily detect the passage of just one fringe, how accurately can you measure the displacement of the mirror(nm)?
The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 630 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the path-length difference (from the two slits to the screen) when the probe is at position 9.0 mm, in nm? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Lasilian Position of probe (mm) Light level
You shine light with an unknown wavelength through two slits that are an unknown distance, d, apart. You put the screen a distance, D = 41 cm, behind the slit plate, and find that the width of the central maximum is Ayo = 1.43 cm. Use the small-angle approximation to obtain the symbolic expressions. (a) Write symbolic expressions for each of the following in terms of 2, d, D (and integers) as needed. 01min = y1min Ayo = (b) Write a symbolic expression for the ratio of 2/d, in terms of the given variables, Ayo, and D, then calculate its numeric value.
The fringe of order 1 is observed at an angle of 1.1° when light of wavelength 440 nm falls on two narrow slits. How far apart are the slits in micrometres? Give your answer to 3 decimals. Your Answer: Answer
The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 640 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the spacing between the two slits, in mm? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Light level allian Position of probe (mm)
The fringe of order (1.0000x10^0) is observed at an angle of (7.3000x10^0)° when light of wavelength (2.62x10^0) nm falls on two narrow slits. How far apart are the slits in micrometers? Give your answer to 3 sf. Note: Your answer is assumed to be reduced to the highest power possible. Your Answer: x10 Answer
An air wedge is formed between two glass plates separated at one edge by a very fine wire of circular cross section as shown in the figure below. When the wedge is illuminated from above by 600 nm light and viewed from above, 30 dark fringes are observed. Calculate the diameter d of the wire (in µm). What If? How many dark fringes will be observed if the gap between the glass plates is filled with water?
Please show formula and units For the figure shown below, let R = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500 nm light. The first bright fringe (m = 1) happens at point P. Calculate the phase difference (ϕ) between the two wave fronts arriving to point P in radians when: a) θ = 0.500⸰ b) y = 5.00 mm. The value of θ in part b is not the same as the value of θ from part a. However, you may assume that θ in part b is small.
Hi please help: A screen is placed 2.00 m behind a single slit. The central maximum in the resulting diffraction pattern on the screen is 1.80 cm wide-that is, the two first-order diffraction minima are separated by 1.80 cm. What is the distance between the two second-order minima? Express your answer to three significant figures.
A double slit aperture is illuminated with HeNe laser light (λ = 638 nm). The pattern observed on a screen placed 2.5 m from the aperture is shown below. If the distance between the 2nd order minima on either side of the central bright spot is 25 cm, determine the spacing between the slits. (Hint: carefully determine m for 2nd order minima.) The spacing between the slits is ______________m. (3 significant figures)
The grating in this experiment has a line separation d (size of the gap through which light diffracts) which can be calculated from the number of lines per millimetre etched into the glass in the diffraction grating. IF we have 300 lines per mm (wow) what is d for the diffraction grating used? (You will need to record this value for your wavelength calculations below) a. d = 3.33x10^-3 mm O b. d = 3.33x10^-7 m C. d = 3.33x10^-4 m O d. d = 3.33x10^-6 m O e. d = 3.33x10^-5 m

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