-3 -2 Light of wavelength 500 nm falls normally on 50 slits that are 4.0 X 107 mm wide and spaced 7.20 X 10 mm apart. How many constructive interference fringes lie in the central peak of the diffraction pattern? (Round your answer to the nearest integer.) fringes

-3 -2 Light of wavelength 500 nm falls normally on 50 slits that are 4.0 X 107 mm wide and spaced 7.20 X 10 mm apart. How many constructive interference fringes lie in the central peak of the diffraction pattern? (Round your answer to the nearest integer.) fringes

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter37: Diffraction Patterns And Polarization

Section: Chapter Questions

Problem 5P: Assume light of wavelength 650 nm passes through two slits 3.00 m wide, with their centers 9.00 m...

See similar textbooks

Related questions

Q: What is the distance in m between lines on a diffraction grating that p m

A: GivenWavelength of red light, λ=780 nmAngle, θ=59°

Q: Three charges are arranged as shown in the figure below. Find the magnitude and direction of the…

Q: 29) A flat coil is in a uniform magnetic field. The magnetic flux through the coil is greatest when…

A: The magnetic flux is Φ=BAcosθ.…

Q: D: What is the capillary effect? What is its cause? How is it affected by the contact angle? E: What…

A: Liquids and gases can flow therefore they are called fluids. It is due to this property a solid is…

Q: 6) The colors on an oil slick are caused by reflection and A) refraction. B) diffraction. C)…

A: Correct Option is (D) interference.

Q: Suppose that 6 J of work is needed to stretch a spring from its natural length of 36 cm to a length…

Q: Suppose a man stands in front of a mirror as shown in the figure below. His eyes are 1.74 m above…

A: CONCEPT:

Q: Position vector of a particle of mass kg is given by m = 5 s? r(t) = 3t³i+5j7t²k . What is its…

Q: (a) For what frequencies does a 20.0-μF capacitor have a reactance below 170 2? f ---Select--- Hz…

Q: 4. Now you observe a second planet, which has the same length year as Planet X, but the shape of its…

A: 5. From kepler's second Law of planetary motion or Law of equal areas we can see that speed of…

Q: The amplitude of the electric field of an electromagnetic wave traveling in a vacuum is measured to…

A: Given Magnitude of electric field E = 3.8 × 102 V/m To find Amplitude of the magnetic field in…

Q: A balloon is ascending at the rate of 14m/s14m/s at a height of 98m98m above the ground where a…

Q: Q5. If A-2i+3j-4k and B=-3i+4j, then (2AxB) is a. -32i +24j-34k b. 32i+24j+34k c. 32i-24j-34k d.…

Q: 5) On a cold day, a piece of metal feels much colder to the touch than a piece of wood. This is due…

A: On a cold day , a metal object such as metallic handle of doors ,metallic taps , etc feels cold on…

Q: In hypothermia, the body temperature is lowered due primarily to exposure to extremely cold weather…

A: Temperature is a variable that plays a crucial role in human's health and the diseases it suffers.…

Q: What is the lift (in newtons) due to Bernoulli's principle on a wing of area 87 m² if the air passes…

A: Given data wing of area A = 87 V2 =290ms V1= 180ms

Q: A motorcyclist is coasting with the engine off at a steady speed of 18.0 m/s but enters a sandy…

Q: The Earth's atmosphere at sea level and under normal conditions has a pressure of 1.01x105 Pa, which…

A: in this question we use simple pressure formula.

Q: Consider the surface of a soap bubble as a flat thin film with refractive index n=1.28 surrounded by…

Q: -3 Find the frequency (in Hz) of a tuning fork that takes 7.20 × 10 s to complete one o

A: GivenTime period to complete one oscillation, T=7.2×10-3 s

Q: A ball is thrown at an angle of 30° From the ball's horizontal and

Q: 20) A battery maintains the electrical potential difference of 6.0-V between two large parallel…

A: Given, The potential difference between two large parallel metal plates (V) = 6 V. Separation…

Q: When a train is traveling along a straight track at 2 m/s, it begins to accelerate at a = [6]p] m/s,…

Q: (a) Find the length (in m) of an organ pipe closed at one end that produces a fundamental frequency…

Q: Light from a laser is directed through a pair of slits that are 40 mm apart. If the laser light has…

A: What we have to find is indicated in figure Formula used. dyD=mλ m is order of maxima From figure we…

Q: A C, A QUESTION 30 In the figure, R=10.0 k2; R₂ = 15.0 k2;C= 0.400 μF; e = 20.0 V. First, the switch…

A: Given:- R1 = 10 kΩ and R2= 15 kΩ C = 0.40μF ε=20 V The circuit as First, the switch is closed for…

Q: A mass m = 3.17 kg is attached to a spring of force constant k = 42.9 N/m and set into oscillation…

A: Solution:-

Q: 25) Four unequal resistors are connected in series with each other. Which one of the following…

A: Let there be three resistors R1 , R2 , R3 . Then their equivalent resistance is given as , R =…

Q: White light is incident onto a 300 prism at the 400 angle. Violet light emerges perpendicular to the…

Q: The primitive translation vectors of the hexagonal space lattice maybe taken as 32a --( 2 ) + (7) a1…

A: The primitive translation vectors at hexagonal space lattice may be taken as a1 =(31/2 a/2)x⏞+a/2 y⏞…

Q: A rod with negligible mass has a length of 1.43 m and has masses m1 = 5.0 kg and m2 = 2.0 kg…

Q: A car that is moving at 72.0 km·hr−1 slows down uniformly to a speed of 36.0 km·hr−1 in 5.00 s. a)…

Q: 1.67 Determine the orthogonal component of C = r x F in the direction of the 100j + 500k N, and unit…

Q: 1. You want to travel into the future. If your space ship can go at a speed of 2.00 x 10 m/s, how…

Q: Medical devices implanted inside the body are often powered using transcutaneous energy transfer…

Q: Problem 4: The plug-in transformer for a laptop computer puts out 7.50 V and can supply a maximum…

A: Given Output voltage (Vo) = 7.50 V Input voltage (Vi) = 240 V Maximum output current (Io) = 2.2 A…

Q: 1. Determine the force of gravity keeping the Earth in its orbit around the sun. 2. A 222 kg weather…

Q: The sledder shown in the figure starts from the top of a frictionless hill and slides down into the…

A: Given data: Initial height (hi) = 4.2 m Final height (hf) = 5.9 m Final velocity (Vf) = 0 m/s…

Q: In the figure below, Planet X is moving in a perfectly circular orbit around its companion star. The…

A: 1. kepler's second Law states " The radius vector drawn from the central planet to revolving planet…

Q: Why would a galvanometer needle deflect in one direction when a magnet goes into a coil and in the…

A: When a magnet goes into or out of the coil then there is a change in magnetic flux So according to…

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 plastic magnifying lens (n = 1.45) has a magni- fication of 2.5 when the object-lens distance…

Q: The radius of curvature of the curved side of a piano-convex lens made of glass (n= 1.64) is 54 cm.…

Q: Write equations for both the electric and magnetic fields for an electromagnetic wave in the red…

Q: 个 +Q +0 (0, a) (0, -a) (a, 0)

Q: ghtly stretched "high wire" is 35 m long. It sags 2.1 m when a 5 kg tightrope walker stands at its…

A: GivenLength of wire, L=35 mWire sags, x=2.1 mMass of walker, m=64.5 kg

Q: to a Force of It a 20kg object is ку and another force 180N to the east to the west, what is the…

A: Given data: Mass (m) = 20 kg F1 = 180 N, towards East F2 = 1000 N, towards West Required: The…

Q: 3) What principle is responsible for light spreading as it passes through a narrow slit? A)…

A: Question: What principle is responsible for light spreading as it passes through a narrow slit?

Q: Calculate the areas of the following surfaces using the differential surface area dS p=2,0 ≤z≤ 5,…

Q: Air temperature in a desert can reach 58.0°C (about 136°F). What is the speed of sound (in m/s) in…

A: As the medium's temperature rises, so does the sound speed. Higher temperatures give molecules more…

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

answer please v

-2
Light of wavelength 500 nm falls normally on 50 slits that are 4.0 X 10-3 mm wide and spaced 7.20 × 10¯ mm apart. How many constructive
interference fringes lie in the central peak of the diffraction pattern? (Round your answer to the nearest integer.)
fringes

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

$Diffraction of light$

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

In Figure 37.7, show mathematically how many interference maxima are enclosed by the central diffraction maximum in the pattern. Notice that the diagram is generated by using 650-nm light to illuminate two 3.0-m slits separated by 18 m. Figure 37.7 The combined effects of two-slit and single-slit interference. This pattern is produced when 650-nm light waves pass through two 3.0-m slits that are 18 m apart.
A diffraction pattern is formed on a screen 120 cm away from a 0.400-mm-wide slit. Monochromatic 546.1-nm light is used. Calculate the fractional intensity I/Imax at a point on the screen 4.10 mm from the center of the principal maximum.
The intensity on the screen at a certain point in a double- slit interference pattern is 64.0% of the maximum value. (a) What minimum phase difference (in radians) between sources produces this result? (b) Express this phase difference as a path difference for 486.1-nm light.
Monochromatic light is incident on a pair of slits that are separated by 0.200 mm. The screen is 2.50 m away from the slits. a. If the distance between the central bright fringe and either of the adjacent bright fringes is 1.67 cm, find the wavelength of the incident light. b. At what angle does the next set of bright fringes appear?
Assume light of wavelength 650 nm passes through two slits 3.00 m wide, with their centers 9.00 m apart. Make a sketch of the combined diffraction and interference pattern in the form of a graph of intensity versus = (a sin )/. You may use Figure 37.7 as a starting point.
Light of wavelength 632.8 nm illuminates a single slit, and a diffraction pattern is formed on a screen 1.00 m from the slit. (a) Using the data in the following table, plot relative intensity versus position. Choose an appropriate value for the slit width a and, on the same graph used for the experimental data, plot the theoretical expression for the relative intensity IImax=sin22 where = (a sin )/. (b) What value of a gives the best fit of theory and experiment? Position Relative to Maximum (mm) Relative Intensity 0 1.00 0.8 0.95 1.6 0.80 3.2 0.39 4.8 0.079 6.5 0.003 8.1 0.036 9.7 0.043 11.3 0.013 12.9 0.000 3 14.5 0.012 16.1 0.015 17.7 0.004 4 19.3 0.000 3
Calculate the angle for the third-order maximum of 580-nm wavelength yellow light falling on double slits separated by 0.100 mm.
A pair of narrow, parallel slits separated by 0.250 mm are illuminated by green light ( = 546.1 nm). The interference pattern is observed on a screen 1.20 m away from the plane of the parallel slits. Calculate the distance (a) from the central maximum to the first bright region on either side of the central maximum and (b) between the first and second dark bands in the interference pattern.
In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (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?
The pupil of a cats eye narrows to a vertical slit of width 0.500 mm in daylight. Assume the average wavelength of the light is 500 nm. What is the angular resolution for horizontally separated mice?
Light with wavelength 442 nm passes through a double-slit system that has a slit separation d = 0.400 mm. Determine how far away a screen must be placed so that dark fringes appear directly opposite both slits, with only one bright fringe between them.
In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (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?