Consider a two-slit experiment in which the slit separation is 2.4 x 10-5 m and the interference pattern is observed on a screen that is 1.50 m away from the slits. The wavelength of light passing through the slits is 420 nm. What is the position of the second dark fringe? Show your calculations

Consider a two-slit experiment in which the slit separation is 2.4 x 10-5 m and the interference pattern is observed on a screen that is 1.50 m away from the slits. The wavelength of light passing through the slits is 420 nm. What is the position of the second dark fringe? Show your calculations

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 97AP: A diffraction grating with 2000 lines per centimeter is used to measure the wavelengths emitted by a...

See similar textbooks

Related questions

Q: In a single slit diffraction pattern, which of the following is true? A All maxima have the same…

A: When a monochromatic light passes through a single slit, the pattern formed is having a central…

Q: After completing the experiment with the single slit, you wish to determine the width of the slit.…

A: Wavelength=632.8nm Intensity=4cm

Q: Consider a source of light with wavelength λ = 510 nm that shines on two identical narrow slits. The…

A: (a)The distance travelled by the light from one slit compared to the light from the other is

Q: For fun, a student constructs a four-slit interference experiment. If the light from each of the…

Q: A contraption creates an interference pattern from a double-slit with a separation of 2.5 µm. What…

Q: Upon using Thomas Young’s double-slit experiment to obtain measurements, the following data were…

Q: In a double slit interference experiment, the two slits are 0.3 mm apart. A laser beam of wavelength…

A: The distance between the central bright fringe and the first side bright fringe is 6.74×10-2 cm

Q: Repeating the experiment above but with only one slit, the width of the slit is 0.50 mm illuminated…

Q: Light with wavelength i passes through a narrow slit of width w and is seen on a screen which is…

Q: Monochromatic light with a wavelength of 628 nm is directed upon a single thin slit having a slit…

A: Given , wavelength λ = 628 nm slit width = 0.405 mm Distance between screen and slit , D = 1.66 m In…

Q: You did the same experiment double-slit experiment with an illustration board, but this time, you…

Q: In a Young’s double slit experiment, using light of wavelength 555 nm, the angular separation of the…

A: Given that- Wave length(λ)=550nm=550×10^-9m Angular separation(θ)=0.750 To determine that-…

Q: Light with wavelength å passes through a narrow slit of width w and is seen on a screen which is…

Q: Write the distinguishing features between a diffraction pattern due to a single slit and the…

A: Diffraction: It refers to the bending of light wave when passed through the corners of an obstacle…

Q: For Young’s double-slit experiment, find the first three values of path difference (?) for which the…

Q: The fringe width b is defined as the distance between two consecutive maxima (or consecutive…

A: The wavelength 500nm is 3.90mm The index of refraction n=1.30

Q: Light with wavelength å passes through a narrow slit of width w and is seen on a screen which is…

A: D=2.4 md=1 mm = 1 x 10-3 mw=λD the definitions of D,d and w can be observed in the question

Q: A laser is shone on two narrow slits, fully illuminating both slits, producing an interference…

A: Interference pattern is seen when light waves from two sources do interference with each other . Due…

Q: In a double slit experiment, the distance between the slits is 0.2 mm and the distance to the screen…

Q: In a single slit experiment, the distance between two dark fringes of the second order is 10 cm on a…

A: The fringe width which is the distance between two consecutive fringes is calculated by using the…

Q: The figure shows the light intensity on a screen 2.7 m behind a double slit. The wavelength of the…

Q: The following questions refer to the following pattern obtained from a double-slit interference…

A: First order maxima is the position where we get bright fringe after the central maxima.

Q: In Young’s double slit experiment, the two slits 0. 15 mm apart are illuminated by monochromatic…

A: Write the given values using suitable variables. Here d signifies the distance of two slits, λ…

Q: In a double-slit interference experiment, assuming that the distance from the location of the double…

A: Let the wavelength of light = λLet the slit width = d Let the distance of screen from slits = D Let…

Q: In a Young' s Double Slit experiment, it is desired that the 4th dark spot (above the center bright…

Q: Consider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm…

A: Write the given value of this problem. λ1=589 nmλ2=589.6 nmD=1.8 μm

Q: Light of wavelength 4.8 × 10-7 m passes through a double-slit and produces an interference pattern…

A: wavelength (λ) = 4.8×10-7 m slit separation (d) = 2×10-6 m

Q: Consider the double slit arrangement shown in the figure below, where the slit separation is d and…

A: From figure, net path difference: Δx=dsinθ-n-1t

Q: Three different colors, red, yellow and violet can be used as the light sources to perform Young's…

A: Given:wavelength of color red, λr = 650 nmwavelength of yellow, λy = 580 nmwavelength of violet, λv…

Q: Light with wavelength A passes through a narrow slit of width w and is seen on a screen which is…

Q: The figure below shows a double slit located a distance x from a screen, with the distance from the…

Q: If the distance between the slits and the screen in Young's double slit experiment is increased,…

A: In YDSE we know that for maxima y = nλD / d D= distance between the screen and slit For minima y=…

Q: Which of the following results to reduced separation of bright fringes from a double slit? A.…

A: As we know, the slit separation is given by the formula -…

Q: In the two-slit experiment of the figure, let angle 0 be 29.8°, the slit separation be 4.33 µm, and…

A: From the diagram (b) given, it is clear that the side opposite to the angle θ is the path difference…

Q: The figure shows the light intensity on a screen behind a double slit. The slit spacing is 0.220mm…

A: Given:The slit spacing,d=0.220mm=0.220×10-3 m The screen,D=2.20mFrom the figure,Distance between…

Q: State the conditions necessary for interference to take place. In a Young's 2-slit experiment, the…

A: The interference pattern must satisfy the following three conditions to produce good interference…

Q: Monochromatic light with wavelength 680 nm is incident on a slit with width 0.0215 mm. The distance…

A: Given: Y = 0.91cm = 0.0091m L = 3.5m a = 0.0215mm = 0.0215×10-3 m λ = 680×10-9 m

Q: Consider the single-slit diffraction pattern created by each slit. How do these single slit patterns…

A: Interference and diffraction are the phenomenons that prove treat light as a wave. Diffraction is…

Q: Monochromatic light is incident on a pair of slits that are separated by 0.210 mm. The screen is…

A: We have a light which is incident on a pair of slits that are separated by a distance d=0.21…

Q: A diffraction grating has 1500 slits or lines ruled in a space of 3.1cm. What is the distance d…

A: A diffraction grating has 1500 number of slits. These lines are spread over a space of length,…

Q: This question is regarding the experiment ’Diffraction and Interference of Light’. a) In a…

A: To answer the following questions.

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Consider a two-slit experiment in which the slit separation is 2.4 x 10^-5 m and the interference pattern is observed on a screen that is 1.50 m away from the slits. The wavelength of light passing through the slits is 420 nm. What is the position of the second dark fringe? Show your calculations

Video Video

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 by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

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)
A student has set up an experiment using 2 slits. Laser light is incident on the slits and forms an interference pattern on a screen some distance away. If the width of the two slits is decreased, how will the interference pattern change on the screen? Refer to the Diffraction Lab for evidence for your CER. Write in a paragraph form
Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.3 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0692 nm. 0₁ 02
A beam of monochromatic light is incident on a single slit of width 0.630 mm. A diffraction pattern forms on a wall 1.35 m beyond the slit. The distance between the positions of zero intensity on both sides of the central maximum is 2.10 mm. Calculate the wavelength of the light. .049 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm
In a Young's double-slit experiment, a set of parallel slits with a separation of 0.130 mm is illuminated by light having a wavelength of 550 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 fifth order bright fringe on the screen? 1.1 Your response differs from the correct answer by more than 10%. Double check your calculations. um (b) What is the difference in path lengths from the two slits to the location of the fifth dark fringe on the screen, away from the center of the pattern? X um
The third dark fringe in a single slit experiment occurs at an angle of 15 degrees. What is the width of the slit if the light used has a wavelength of 630 nm? Draw a picture
A laser is placed in front of a double slit as shown in figure 6b . The laser emits light of wavelegth 589 nm . The slits act as coherent sources of progressive waves . The waves superpose and an interference an pattern is observered on the screen 2.6 m from the slits . i. Describe the pattern of fringes observed in the screen ii. The disctance between the centres of the bright fringes is 5.1 mm . Calculate the slit seperation of the double slits . iii. What would happen to the fringe spacing if the slit seperation was halved ? Justify your answer .
The same double-slit experiment is then immersed in water (with an index of refraction of 1.33) and repeated. When in the water, what happens to the interference fringes? View Available Hint(s) The same double-slit experiment is then immersed in water (with an index of refraction of 1.33) and repeated. When in the water, what happens to the interference fringes? A.They are more closely spaced than in air by a factor of 1.33. B.They are more widely spaced than in air by a factor of 1.33. C.They are spaced the same as in air. D. They are shifted upward. E. They are shifted downward.
In a Young's double-slit experiment, the slit separation dis made twice as big (doubled) but the fringe pattern observed on the screen does not change. Which of the following changes would keep the pattern identical when dis doubled? Use a wavelength of light that is half as big but keep the distance from the slits to the screen constant. Use a frequency of light that is twice as big but keep the distance from the slits to the screen constant. Change the distance from the slits to the screen to be half of what it was originally but keep the wavelength of light the same. More than one of the above would work. O None of the above.
White light is incident upon a diffraction grating with 1000 lines per mm. a) What is the separation between slits for this grating? b) What is the angle between the red light (700 nm) and blue light (450 nm) leaving the grating in the first order bright fringe? c) What is the angle of the second-order red light? If the angle is greater than 90 degrees, write "Not Visible". Please write your answers in the space below and email your work. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
Monochromatic light illuminates a single slit with a width of 3.0 microns and produces a first-order diffraction minima at 17.5 degrees. What is the wavelength of the light? Show the algebraic form of the equation(s) that you apply and report your answer with correct units and number of significant figures.
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