Answered: 11th dark bands is 13.2 cm. a. What is…

11th dark bands is 13.2 cm. a. What is the spacing between adjacent nodal lines? b. What is the separation of the slits?

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter36: Wave Optics

Section: Chapter Questions

Problem 4P: In a Youngs double-slit experiment, two parallel slits with a slit separation of 0.100 mm are...

See similar textbooks

Related questions

Q: A vector has the components Ax=22m and Ay=13 m. (a) What is the magnitude of this vector? (b) What…

Q: Mark throws a bunny to Daniel with an initial speed of 20 m/s at an angle of 45 degrees. If they are…

Q: A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.00 s, it then coasts for 5.00 s. How…

A: Initial velocity of the vehicle is Acceleration is Time is Vehicle coasts for time Find:Total…

Q: The 3 kg block is initially at rest and pressed against a spring so as to compress it at point A.…

Q: If a 7.0-keV photon scatters from a free proton at rest, what is the change in the photon's…

A: The question asks to determine the change in the wavelength of a 7.0-keV photon when it scatters…

Q: Suppose that while moving into an apartment you move a refrigerator into place by sliding it across…

A: A good way to pass an item positioned at the floor (or any other added surface), a minimal pressure…

Q: A 4000 kg truck is parked on a 19° slope. You may want to review (Pages 141-145). Part A How big is…

Q: The drawing shows three objects. They are connected by strings that pass over massless and…

Q: A 4000 kg truck is parked on a 20° slope. You may want to review (Pages 141-145). Part A How big is…

Q: Accelerating from rest, a top fuel race car can reach 338.2 mph (148.9 m/s), a record established in…

Q: A 35kg boy runs and jumps on a 3 kg sled. The sled stops moving at 10 meters. The coefficient of…

Q: 11) The work done in moving a 10 µC charge from point A(1,30, 120°) to point B(4, pl 90°. 60°)- a)…

A: According to the guidelines, we can only provide a digital solution for your answer and not a…

Q: In the figure below there are two concentric circular arcs of radii "a"and "b" and angle 8. Find the…

Q: A 3.0-MV transmission electron microscope has been in operation at Osaka University in Japan for…

A: Given Data:Kinetic energy It is known that:Plank's constant Speed of light in vacuum Rest energy of…

Q: You observe a rocket moving away from you. Compared to the passage of time measured by the watch on…

A: When observing a rocket moving away from you, the passage of time on the rocket's clock will appear…

Q: A stone is dropped into a mine shaft 250 m deep. How many seconds pass before the stone is heard to…

Q: A ball is thrown straight upward from a height of 3.2 m with a velocity of 13.0 m/s. a. What is the…

Q: m A point charge q-2C is moving with velocity V (10 km/s) i. What is the y component of the magnetic…

Q: Calculating the magnetic field due to a straight current carrying wire of length 2L at a distance d…

A: A mathematical relation between the current and magnetic field was formulated by Biot and Savart.…

Q: x = 1.00 2.00 = Check -Vat Figure 1: A velocity versus time graph of an object moving along the x…

Q: llowing. Show your solution. Find the individual and total values of the voltage, current and…

A: If the resistances are connected in series in a circuit, the effective resistance is the sum of the…

Q: A solid metal sphere of radius 3.00 mm carries a total charge of -4.20 μC . a)What is the magnitude…

A: Total charge on sphere Q= -4.20µC= - 4.2×10-6 CRadius of sphere R= 3.00 mm“Since you have posted a…

Q: In the sum A + B = C, vector A has a magnitude of 12.2 m and is angled 44.3° counterclockwise from…

Q: Calculate the de Broglie wavelength of a 1.2-kg rock thrown with a speed of 6.0 m/s into a pond. Is…

A: The de broglie wavelength say d related to a body of mass m and movi g witj velocity v is given as…

Q: An airplane has an air velocity of 500 km/h [N 30 W] and encounters a wind from [S 75 W] at 280…

Q: Calculate the magnitude of the electric field at the center of a square 42.5 cm on a side if one…

Q: A magnetic compass is placed 10 cm away from a simple circuit consisting of a battery, light bulb,…

Q: What is an X-ray tube?

A: Given thatX-ray tubeTo be asked ThatWhat is an X-ray tube?

Q: You are making a video for your "Lit-Sports-Shots" channel on YouTube. You plan to drop a tennis…

Q: When a parachute opens, the air exerts a large drag force on it. This upward force is initially…

A: The weight of the sky driver is The magnitude of the drag force is The mass of the sky driver is m =…

Q: A uniform magnetic field B, with magnitude 1.2 Tesla, is directed vertically upward throughout the…

Q: You find yourself in the middle of a frozen lake with a surface so slippery (s = μ = 0) you cannot…

A: Newton's laws of motion can provide some insight into finding a solution to the problem. Newton's…

Q: A ball slides down a roof and falls off the roof edge 10 m above the ground at a speed of 6 m/s. The…

A: Height of roof S= 10 m Speed of ball v= 6 m/s angle with horizontal=30°

Q: A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius…

Q: EXERCISE 1: CONVERTING UNITS WITH PIZZA The founder, owner, and creative genius behind Physics Pizza…

A: When multiple different questions are given, then according to the guidelines, only the first…

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Inductance L = 0.1 H.Resistance Voltage source V = 20 V.

Q: Find the object's speeds V₁, V2, and v3 at times t₁ = 2.0 s, t₂ = 4.0 s, and t3 = 13 s. Express your…

A: In this Question Distance time Graph is given and It is asking about Speed/Velocity and

Q: Find the magnitude of the net electric field these sheets produce at a point 4.00 cm to the left of…

Q: A plane flies with velocity v = ⟨220, −90, 10⟩ km/h. A wind is blowing out of the northeast with…

A: given,v=(220,-90,10) km/hw=(-30,-30,0) km/h(A)let w1 be component of w parallel to vthen(B)since w1…

Q: The near point (the smallest distance at which an object can be seen clearly) and the far point (the…

A: To solve any question we always need to focus on the information that are provided. In this case, a…

Q: You stand at the edge of a 22.0 m high cliff and throw a stone straight down with a speed of 8.00…

A: Initial velocity, u = 8 m/sFinal velocity, v = 22.3 m/s

Q: Two charged particles are a distance of 1.92 m from each other. One of the particles has a charge of…

Q: Air enters the compressor of an ideal cold air-standard Brayton cycle at 1 bar, 27 °C, with a mass…

A: To calculate the back work ratio in the Brayton cycle, we need to determine the specific enthalpy…

Q: Question1: Normal Zeeman, which is formed when an atom is placed in an external magnetic field…

A: EffectHamiltonianNormal ZeemanH = μB * B * L * g(J, S)Abnormal ZeemanH = μB * B * L * g(J, S) + μB *…

Q: A cross-sectional view of four long parallel conducting wires of length / and the directions of the…

Q: When a large star becomes a supernova, its core may be compressed so tightly that it becomes a…

Q: A spring mass system consists of a spring with spring constant k and an attached block of mass m is…

Q: a) Calculate the energies of the scattered photons for the angles given below Angle (degrees) 25 40…

Q: The term that describes the heating effect of a sine wave is ___. (A) Peak (B) Average (C) RMS (D)…

A: When an electric current flows through a resistive element, such as a wire or…

Q: When two lenses are used in combination, the first one forms an image that then serves as the object…

A: Given Data:Height of the object Object distance from lens 1 Focal length of lens 1 Focal length of…

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

4. In an interference experiment, red light (600
nm) passes through a double slit. On a screen
1.5 m away, this distance between the 1st and
11th dark bands is 13.2 cm.
a. What is the spacing between adjacent
nodal lines?
b. What is the separation of the slits?
c. What would the spacing be, between
adjacent nodal lines, if blue light (450
nm) were used?

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: Given

Step 2: Calculation

Step 3: calculation

Solution

Step by step

Solved in 4 steps with 4 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

(a) What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for a wavelength ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?
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?
In Figure 38.4, assume the slit is in a barrier that is opaque to x-rays as well as to visible light. The photograph in Figure 38.4b shows the diffraction pattern produced with visible light. What will happen if the experiment is repeated with x-rays as the incoming wave and with no other changes? (a) The diffraction pattern is similar. (b) There is no noticeable diffraction pattern but rather a projected shadow of high intensity on the screen, having the same width as the slit. (c) The central maximum is much wider, and the minima occur at larger angles than with visible light. (d) No x-rays reach the screen.
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?
In a Youngs double-slit experiment, two parallel slits with a slit separation of 0.100 mm are illuminated by light of wavelength 589 nm, and the interference pattern is observed on a screen located 4.00 m from the slits. (a) What is the difference in path lengths from each of the slits to the location of the center 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 center of the third dark fringe away from the center of the pattern?
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
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.
(a) If a single slit produces a first minimum at 14.5°, at what angle is the second-order minimum? (b) What is the angle of the third-order minimum? (c) Is there a fourth-order minimum? (d) Use your answers to illustrate how the angular width of the central maximum is about twice the angular width of the next maximum (which is the angle between the first and second minima).
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
Four trials of Young's double-slit experiment are conducted. (a) In the first trial, blue light passes through two fine slits 400 m apart and forms an interference pattern on a screen 4 in away, (b) In a second trial, red light passes through the same slits and falls on the same screen. (c) A third trial is performed with red light and the same screen, but with slits 800 m apart, (d) A final trial is performed with red light, slits 800 m apart, and a screen 8 m away. (i) Rank the trials (a) through (d) from the largest to the smallest value of the angle between the central maximum and the first-order side maximum. In your ranking, note any cases of equality, (ii) Rank the same trials according to the distance between the central maximum and the First-order side maximum on the screen.
Intense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?
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.