Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second- order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)- sin(0) can be used.) (b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y? Diffraction grating Screen 2nd-order maximum Central maximum (m= 0)

Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second- order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)- sin(0) can be used.) (b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y? Diffraction grating Screen 2nd-order maximum Central maximum (m= 0)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A light source simultaneously emits light of two wavelengths, 460 nm and 654 nm, respectively. The…

Q: Due to the wave nature of light, light shined on a single slit will produce a diffraction pattern.…

A: Given : wave length of green light, λ = 565 nm = 565*10-9 m Slit width , a = 0.470 mm =…

Q: A diffraction pattern forms when light passes through a single slit. The wavelength of the light is…

A: Given, Wavelength=601nm

Q: In a Young's interference experiment, the two slits are separated by 0.145 mm and the incident light…

Q: Parallel rays of monochromatic light with wavelength 594 nm illuminate two identical slits and…

A: Calculate the tangent of angle θ. tanθ=yRtanθ=0.88 mm×1 m1000 mm75 cm×1 m100 cmtanθ=1.173×10−3…

Q: In an interference experiment using a monochromatic source emitting light of wavelength 'λ', the…

Q: Light from a laser with a wavelength of 5.50 ✕ 102 nm is incident on (and perpendicular to) a pair…

A: wavelength (λ) = 550 nm distance between the slits (d) = 0.310 mm distance of screen (D) = 1.70 m To…

Q: ht is λ = 4250 Å. θ1 and θ2 are the angles to the first and second bright fringes above the center…

Q: In a single-slit diffraction experiment, the width of the slit is 1.90 µm. If a beam of light of…

A: Correct option a) 18.7 degree

Q: A scientist directs monochromatic light toward a single slit in an opaque barrier. The light has a…

Q: Light with a wavelength of 600 nm falls on a thin soap film. The angle of incidence is 30°. In the…

A: Given: The wavelength of light is 600 nm The incidence angle is 300 The adjacent band distance is 4…

Q: In Young's double-slit experiment, the intensity of light on the observation screen is described by:…

A: The intensity of light at central maximum is Imax=0.005 W/m2Wavvelength of the monochromatic light…

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: In a Young's double-slit experiment, a set of parallel slits with a separation of 0.150 mm is…

Q: In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light…

Q: Light waves with two different wavelengths, 642 nm and 474 nm, pass simultaneously through a single…

Q: When coherent electromagnetic waves with wavelength λ = 120 µm are incident on a single slit of…

A: Given: d=1.50m λ=120μm

Q: Light of wavelength λ = 410 nm is incident upon two thin slits that are separated by a distance d =…

A: Given Data:The wavelength of the light is The separation between the two slits is The distance of…

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

Q: A laser beam is incident on two slits with separation d = 0.026 mm. A screen is placed L = 3.2 m…

A: So the given situation is as follows:

Q: Coherent light of frequency 6.30×1014 Hz passes through two thin slits and falls on a screen 85.0 cm…

A: Given, Frequency, f=6.30×1014Hz The distance from slits to screen, x=85cm The third fringe occurs…

Q: How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen?

Q: In a single-slit diffraction pattern, the central fringe is 320 times as wide as the slit. The…

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

Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance
between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright
fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second-
order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)~ sin(0) can be used.) (b) If the entire
apparatus is submerged in water (nwater = 1.33), what is the distance y?
(a) y = i
(b) y = i
eTextbook and Media
Diffraction
grating
8
-L-
Screen
2nd-order
maximum
Central
maximum
(m = 0)

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given that

VIEW

Step 2: Formula

VIEW

Step 3: a) Now to determine y

VIEW

Step 4: b) If entire apparatus is submerged in water then

VIEW

Step 5: Now the distance y is

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 11 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

An instructor directs monochromatic light toward a single slit in an opaque barrier. The light has a wavelength of 550 nm and the slit is 0.225 mm wide. The light that passes through the slit creates a diffraction pattern on a screen, which is 1.20 m from the slit. (a) How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen? mm (b) How wide (in mm) is either of the two first-order bright fringes, as measured on the screen? mm
A laser beam is normally incident on a single slit with width 0.580 mm. A diffraction pattern forms on a screen a distance 1.20 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.12 mm. Calculate the wavelength of the light (in nm). X Find the relationship among y, the distance from the central maximum to the first minimum, L, and 0, and then apply the equation for the Fraunhofer diffraction pattern. Solve for A. Hint: use a small-angle approximation. nm
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.108 mm is illuminated by light having a wavelength of 584 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a third order bright fringe on the screen? answer in ?m (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern? answer in ?m
Hurry!!!
There is a thin film of soap bubble of thickness d on air with a refractive index of n. When an incident light of wavelength is falling on the soap bubble it is creating a dark fringe and when the wavelength is falling it is creating a bright fringe of the same order at the same position on screen. Prove that the order of the fringe is From the above relation find the thickness of the soap bubble of refractive index 1.35 which is creating a bright fringe for 370nm and a dark fringe for 500nm.
The figure shows a double slit located a distance x = 2.85 m from a screen, with the distance from the center of the screen to a bright fringe given by y. When the distance d between the slits is large compared to the wavelength λ, there will be numerous such bright fringes. Part (a) Give an expression for the distance between adjacent fringes Δy, using quantities given in the problem statement and assuming the angles θ are very small. Part (b) Calculate the distance between adjacent fringes, in centimeters, for 638-nm light falling on double slits separated by 0.0815 mm.
In a double-slit interference experiment, the light source is a visible laser with wavelength 7.13E-7 m, the distance between slits is 5.42E-4m, and a screen is 5.38 m away from the slits. In the interference pattern on the screen, what is the distance between the central bright fringe and the first bright fringe next to it (in m)?
In a single-slit diffraction pattern, the central fringe is 480 times as wide as the slit. The screen is 16,000 times farther from the slit than the slit is wide. What is the ratio X/W, where is the wavelength of the light shining through the slit and W is the width of the slit? Assume that the angle that locates a dark fringe on the screen is small, so that sin is approximately equal to tan (). Number Units
A diffraction pattern forms when light passes through a single slit. The wavelength of the light is 556 nm. Determine the angle that locates the first dark fringe when the width of the slit is (a) 2.3 × 10-4 m and (b) 2.3 × 10-6 m.
Parallel rays of monochromatic light with wavelength 575 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is 4.20×10−4 W/m2, what is the intensity at a point on the screen that is 0.850 mm from the center of the central maximum?