Two slits are illuminated by light that consists of two wavelengths. One wavelength is known to be 550 nm. On a screen, the fourth maximum of the 550 nm light coincides with the third minimum of the other light. What is the wavelength of the unknown light?

Two slits are illuminated by light that consists of two wavelengths. One wavelength is known to be 550 nm. On a screen, the fourth maximum of the 550 nm light coincides with the third minimum of the other light. What is the wavelength of the unknown light?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 68PQ

See similar textbooks

Related questions

Q: A diffraction grating with 750 slits/mm is illuminated by light that gives a first-order diffraction…

Q: Problem 2. A) A Michelson interferometer uses light of wavelength 500 nm. The irradiance of the beam…

A: The wavelength of the light is: .The irradiance of the beam is: IL

Q: A student performs a double-slit interference experiment. The student records the fact that a…

A: Given Data The angle of the third-order dark fringe is θ3 = 20.11°. The wavelength of the light is λ…

Q: A visible laser with wavelength 5.76E-7 m passes through a thin slit and form a diffraction pattern…

Q: A student performs a double-slit interference experiment. The student records the fact that a…

Q: Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole,…

A: Given data Seperation between two point sources is d = 5.5 cm Diameter pinhole is D = 13micro m

Q: An EM wave with wavelength 6.50E-7 m passes through a thin slit and form a diffraction pattern on a…

Q: The path difference of a Michelson interferometer is 3.40 x 10-6 m. What is the largest wavelength…

A: Path difference ∆x=3.4×10-6m For visible light Wave must be(380nm to 750nm)

Q: The glass plates in the figure are separated by a thin round filament. When the top plate is…

A: Given: wavelength = 610 nmFind: Diameter of the filament

Q: Light of wavelength 500 nm diffracts through a slit of width 2.00 mm and onto a screen that is 2.00…

A: The expression for the distance between the center of the diffraction pattern and third diffraction…

Q: A very thin sheet of plastic with refraction index np = 1.6 covers one slit of a double-slit…

Q: The coherence length of an ordinary white light source can be increased if we place a color filter…

A: The maximum wavelength is 651.6 nm.

Q: A double slit is illuminated simultaneously with light of wavelength 640 nmnm and light of an…

Q: A double slit is illuminated simultaneously with orange light of wavelength 620 nm and light of an…

Q: Light of wavelength 613.0 nm is incident on a narrow slit. The diffraction pattern is viewed on a…

A: Given data as per question wavelength = 613nm n = 4 D = 81.5cm

Q: An EM wave with wavelength 6.50E-7 m passes through a thin slit and form a diffraction pattern on a…

Q: You illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the…

Q: A pattern of light is shown on the screen. You measure the distance between the source of the light…

A: a) To determine the type of slit plate being used, we can calculate the distance between adjacent…

Q: A single slit of width 2.4 µm (micrometers) is illuminated by red light of wavelength 700 nm…

A: Given: The width of the slit is, The wavelength of the light is, The distance between the screen…

Q: The glass plates in the figure are separated by a thin round filament. When the top plate is…

A: Given:

Q: Light with a wavelength of 750nm shines normally on a double slit. The fourth order (m=4) bright…

A: Given Data: Wavelength (λ) = 750 nm = 750×10-9 m.Angle (θ) = 1.5°. To Determine: The distance…

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?
Figure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53
Coherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.
In Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?
Table P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80
A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 rad
An EM wave with wavelength 6.50E-7 m passes through a thin slit and form a diffraction pattern on a screen 4.62 m away. The distance between the central bright fringe and the first dark fringe is measured to be 4.20E-3 m. What is the slit width (in meter)?
A double slit is illuminated simultaneously with light of wavelength 640 nmnm and light of an unknown wavelength. The mm = 4 bright fringe of the unknown wavelength overlaps the mm = 3 bright orange fringe. What is the unknown wavelength?
Normally incident light of wavelength 495 nm reflects off an oil ( n = 1.43) layer on water (n = 1.33). What is the smallest nonzero thickness of that will maximally reflect the light? What is the smallest nonzero thickness of that will minimally reflect the light?
A double slit is illuminated simultaneously with orange light of wavelength 620 nm and light of an unknown wavelength. The m= 4 bright fringe of the unknown wavelength overlaps the m = 3 bright orange fringe. What is the unknown wave- length?
A diffraction grating with 750 slits/mm is illuminated by light that gives a first-order diffraction angle of 34.0°. What is the wavelength of the light?
A very thin sheet of plastic with refraction index n₁ = 1.6 covers one slit of a double-slit apparatus illuminated by a light source that emmits EM waves with a wavelength of 640 nm. The center point on the screen, instead of being a maximum, is dark. What is the (minimum) thickness of the plastic? oblem 031