In a location where the speed of sound is 354 m/s, a 1,770-Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first maximum located? 22.9º 27º 34.6º 41.8º (b) If the sound wave is replaced by 5.00-cm microwaves, what slit separation gives the same angle for the first maximum? 7.5 cm 8.33 cm 9.32 cm 11.1 cm (c) If the slit separation is 1.00 mm, what frequency of light gives the same first maximum angle? 4.500 x 1014 Hz 5.760 x 1014 Hz 6.509 x 1014 Hz 7.290 x 1014 Hz

In a location where the speed of sound is 354 m/s, a 1,770-Hz sound wave impinges on two slits 30 cm apart. (a) At what angle is the first maximum located? 22.9º 27º 34.6º 41.8º (b) If the sound wave is replaced by 5.00-cm microwaves, what slit separation gives the same angle for the first maximum? 7.5 cm 8.33 cm 9.32 cm 11.1 cm (c) If the slit separation is 1.00 mm, what frequency of light gives the same first maximum angle? 4.500 x 1014 Hz 5.760 x 1014 Hz 6.509 x 1014 Hz 7.290 x 1014 Hz

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 6P

See similar textbooks

Related questions

Q: Suppose you want to produce a double-slit interference pattern where the distance between…

A: The equation for the distance between adjacent bright fringes in double slit experiment is given by

Q: How many dark fringes will be produced on either side of the central maximum if light (λλ = 636 nm)…

Q: A single slit that is 2100 nm wide forms a diffraction pattern when illuminated by monochromatic…

A: Given : angle (θ) = 10 degree wavelength (λ) = 680x10-9 m width (a) = 2100*10^-9

Q: At most, how many bright fringes can be formed on either side of the central bright fringe when…

A: Given data: The wavelength of the light is, λ=654 nmλ=654×10-9 m The separation between two slits…

Q: In a double‑slit interference experiment, the wavelength is λ=392 nm , the slit separation is…

Q: laser light with wavelength of, lambda= 630nm, allowed to pass through double slit interference with…

Q: A laser beam (2 = 694 nm) is incident on two slits 0.100 mm apart. Approximately how far apart (in…

A: Given data as per question wavelength = 694nm L = 5m distance = 0.100mm

Q: a single slit of width 4.50 x 10^-6m produces a first-order dark fringe at some angle. If the width…

A: Given: The first slit width is 4.5x10-6 m. The order of dark fringe for the first slit width is 1…

Q: A double-slit arrangement produces interference fringes that have an angular separation of 4.31 x…

Q: Light of wavelength 514 nm illuminates a slit of width 0.75 mm. At what distance from the slit…

Q: A two-slit interference set-up with slit separation d = 0.10 mm produces interference fringes at a…

A: In this question we have to find the split separation ratio ds. Please give positive feedback if the…

Q: At most, how many bright fringes can be formed on either side of the central bright fringe when…

A: Wavelength , λ = 691 nm = 691 x 10-9 m Slit separation , d = 3.5 x 10-6 m To find = Number of…

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: How far away from the center of a screen is the third dark fringe formed by laser light of…

A: Given: Wavelength of laser light (λ) = 540 nm. D = 1.05 m. Width of central maximum = 3.9 cm.

Q: An optical engineer needs to ensure that the m = 1 and m = 2 bright fringes from a double slit are…

A: Given Data: The distance of a detector from the silt is, D=1.61 m The distance between the fringes…

Q: If the distance between the first and tenth minima of a double-slit pattern is 18.0 mm and the slits…

Q: In a two-slit interference experiment, if light with wavelength 481.0 nm goes through two slits…

Q: ated by 24.4 μm and are illuminated by a laser with wavelength 514 nm. If a screen is placed at a…

Q: ) Light of wavelength 633nm from a distant source is incident on a slit 0.750 mm wide, and the…

A: Given: λ = 633nm= 633×10-9m d= 0.750mm D= 3.50m Solution: Distance between two dark…

Q: Light of wavelength 587.5 nm illuminates a slit of width 0.75mm. At what distance from the slit…

Q: a light of wave length 5.40 × 10^2nm passes through a slit of width 0.200mm A, find the width of the…

A: Given:Wavelength = 540 nmSlit width = 0.200 mmDistance between the screen and the slit = 1.50 m

Q: Calculate the distance between two adjacent bright fringes for coherent light of wavelength 488 nm…

A: As we know that the distance between two consecutive bright/dark fringes is called the fringe width.…

Q: a thin film of MgF2 (n = 1,38) with thickness of 8,25×10−5 cm was put on glass (n =1,55). If…

A: Given; The refractive index of thin film of MgF2, n=1.38 Refractive index of glass, ng=1.55…

Q: Red light of 600nm wavelength is used to produce double-slits are separated by 1.6mm, and if they…

A: We have a red light of wavelength λ=600 nm=600*10-9m going through a double slit producing fringes…

Q: Coherent light of wavelength 633[nm] passes through two thin slits and creates an interference…

Q: If 750-nm and 6500-nm light pass through two slits 0.55 mm apart, how far apart are the second-order…

A: The position of the bright fringe on a screen in a double slit experiment is given by,

Q: In a location where the speed of sound is 354 m/s, a 2070 Hz sound wave impinges on two slits 27 cm…

A: Condition for first maximum

Q: The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the…

Q: The second - order dark fringe in a single - slit diffraction pattern is 1.40 mm from the center of…

A: We know,

Q: Light of wavelength 575 nm falls on a double slit, and the first bright fringe of the interference…

Q: Light of wavelength 4.70 x 10^-7 m in air falls onto two slits 6.00 x 10^-5 m apart. The whole…

Q: Given a single slit diffraction set up, a slit width of 8.37*10-6m, the screen is 6.00 meters away,…

Q: Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 μm . At what…

A: Condition for minimum for single slit is dsinθ=mλsinθ=mλdθ=sin-1mλd

Q: How many dark fringes will be produced on either side of the central maximum if light (λλ = 699 nm)…

A: Given: The wavelength of the light is 699 nm. The slit width is 4.84x10-6 m.

Q: A single slit 1.0mm wide is illuminated by 450-nm light. What is the widthof the central maximum (in…

A: Given: Width of slit d = 1 mm or 1 × 10-3 m Wavelengthλ = 450 nm or 450 × 10-9 m Distance between…

Q: At what angle in degrees is the first-order maximum for 450-nm wavelength blue light falling on…

Q: A double slit experiment using 532 nm light produces an interference pattern with the 1st order…

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

In a location where the speed of sound is 354 m/s, a 1,770-Hz sound wave impinges on two slits 30 cm apart.

(a) At what angle is the first maximum located?
22.9º

27º

34.6º

41.8º

(b) If the sound wave is replaced by 5.00-cm microwaves, what slit separation gives the same angle for the first maximum?

7.5 cm

8.33 cm

9.32 cm

11.1 cm

4.500 x 10¹⁴ Hz

5.760 x 10¹⁴ Hz

6.509 x 10¹⁴ Hz

7.290 x 10¹⁴ Hz

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: Angle of the first maximum

VIEW

Step 2: New slit separation with same angle

VIEW

Step 3 New frequency with same angle

VIEW

Step by step

Solved in 3 steps with 10 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

For 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
Red light (wavelength 632.8 nm in air) from a Helium-Neon laser is incident on a single slit of width 0.05 mm. The entire apparatus is immersed in water of refractive index 1.333. Determine the angular width of the central peak.
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
Why is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?
Consider a wave passing through a single slit. What happens to the width of the central maximum of its diffraction pattern as the slit is made half as wide? (a) It becomes one-fourth as wide. (b) It becomes one-half as wide. (c) Its width does not change. (d) It becomes twice as wide. (e) It becomes four times as wide.
In a location where the speed of sound is 354 m/s, a 2070 Hz sound wave impinges on two slits 27 cm apart. If the sound wave is replaced by 5.00cm microwaves, what slit separation gives the same angle for thefirst maximum? 10.17 cm 8.84 cm 7.89 cm 3.03 cm
If a laser with wavelength of 638nm hits a diffraction grating with 1,000 lines/cm, then how far away is the screen, if the distance between the images cast on the screen from the m=0 and m=1 images is 5m? At what angle does 540nm light go out from on a double slit with distance between the slits of 1.00 micrometers, to cause the middle of the m=1 bright fringe?
In a double-slit interference experiment, a special lamp emitting yellow light from heated sodium atoms is used to produce an interference pattern on a screen located 1.39 m from a pair of slits separated by 0.12 mm. If the distance between adjacent bright regions in the resulting pattern is 6.83 mm, what is the wavelength (in nm) of the sodium light?
a beam of wavelength 500nm falls on YDSE.if the width of the slit is 0.3mm,find number of maxima in -30<0<0 where theta is angular position option 1.150 2.5993.300 4.149
Light of wavelength 587.5 nm illuminates a slit of width 0.75mm. At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.85mm from the central maximum?