1. (a) What is the highest-order maximum for 400 -nm light falling on double slits separated by 25 µm? Hint: Is there a limit on how many bright and dark bands appear on a pattern? (b) What part of the EM spectrum does this wavelength belong to? Visible Region/Ultraviolet O Infrared O X-rays

1. (a) What is the highest-order maximum for 400 -nm light falling on double slits separated by 25 µm? Hint: Is there a limit on how many bright and dark bands appear on a pattern? (b) What part of the EM spectrum does this wavelength belong to? Visible Region/Ultraviolet O Infrared O X-rays

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section35.6: Single-slit Diffraction Intensity

Problem 35.6CE

See similar textbooks

Related questions

Q: A fluid-filled catheter is 0.175 m long and has a diameter of 2.5 mm. What is the resistance(in…

Q: QUESTION 6 Consider a non-rotating space station in the shape of a long thin uniform rod of…

Q: You place a +25 cm focal length convex lens at a distance of 50 cm in front of a concave lens with a…

A: The location of the final image is on the same side of the object.

Q: ans. by pen and paper Q3:- A convex lens with a focal length of (8 cm), an object of (4 cm) height…

Q: 58.'A gas cylinder system similar to that described in this sectio has a volume of 1.80 X 10-3 m³ at…

A: Given: The intial volume and pressure is 1.8x10-3 m3 and 1.01x105 Pa. The final volume and pressure…

Q: People with good hearing can perceive sounds as low in level as −6.62 dB at a frequency of 3000 Hz.…

Q: 2, 3 If the units of your answer are kg · m"/s", which of the following types of quantities could…

A: power is work per unit time . so it unit is kgm2/s3

Q: A 3-ton airplane normally flies at 300 km/hr. If it experiences a 30 km/hr headwind (i.e., a wind…

A: There is no use of 3 ton (airplane weight) in the question. You have to apply basic physics…

Q: A force of 60 N acts on the block at the angle shown in the diagrar The block moves a horizontal…

A: GivenForce acting on block, F=60 Nat an angle, θ=30°Horizontal distance moved by block, d=5 m

Q: What is the speed of sound (in m/s) in a medium where a 189 kHz frequency produces a 0.614 cm…

Q: A string has a mass attached to it as shown in the figure. The length of the entire string is 2.4 m,…

Q: A moving cart of mass 3.5 kg crashes into a stationary cart of mass 10.5 kg as shown. The carts are…

A: let the less massive car move left with a speed v after collision. before collision lets its speed…

Q: 2. A Calculate the torque supplied by the wrench when an 8N force is applies as shown. (a) -1.44 N*m…

A: The correct choice of answer is option (c).

Q: One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a)Calculate the…

Q: A bungee cord exerts a nonlinear elastic force of magnitude F(x) = k1x + k2x³, where a is the…

A: Given: Magnitude of nonlinear elastic force, F(x)=k1x+k2x3 To determine work done on the cord to…

Q: R A 50 cm long metal rod moves along the two rails in a plane of the circuit shown and is placed…

A: Given that- Rod length =50cm=0.50m B=0.15T R=3.0ohm Uniform speed(v) =2.0m/sec To determined that…

Q: A light ray is incident on a glass prism as shown. It hits the glass surface at an angle of 0° (i.e.…

Q: A refrigerator: A A) converts heat input to an equivalent amount of work B B) converts work to an…

Q: The figure shows a wood cylinder of mass m = 0.229 kg and length L = 0.0930 m, with N = 24.0 turns…

Q: Ricci and Kobe watched the movie "Adam Project" for 2.5 hours including replays on a LED TV with a…

Q: 2. You have a solenoid that is 40 cm long and with 350 turns and want to produce a magnetic field…

Q: 5. A photon of light has a wavelength of 0.050 cm. Calculate its energy.

Q: An aircraft maintenance technician walks past a tall hanger door that acts like a single slit for…

Q: f a sound that has a level 3.00 dB lower than a 3.33 ✕ 10−9 W/m2 sound? (b)

A: Givenβ=3 dB

Q: Plutonium 2 Pu nucleus produced in a nuclear reactor undergoes alpha decay. Determine the daughter…

Q: You have two coils, one circular with diameter of length 'a' and another square with each side of…

Q: 14. A strain gauge of 150 Ω nominal resistance with a gauge factor GF=1.8 is mounted on a rod. The 3…

Q: 6. In the figure below, the converging lens has a focal length of 10.0 cm and the concave mirror has…

Q: 3. In the circuit shown in the figure below, find (a) the current in each branch of the circuit, and…

Q: Press the Question: Four resistors R,=180 ohm, R2=100 ohm, R3=330 ohm and R4=180 ohm are connected…

Q: A long insulating cylindrical rod has a radius of 2.50 cm and uniform charge density of 120 nC/m³.…

A: Electric field at a distance x from the axis of cylinder (x> radius of cylinder) is given by…

Q: Refer to the figure below. How much current is flowing through the circuit if the power dissipated…

A: Given: The reistance of the each resistor is 4.76 Ohm. The electrical power is 7.05 W.

Q: What is the density of free electrons in the ionospheric layer at a critical frequency of 1.3 MHz

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: A commuter train passes a passenger platform at a constant speed of 37.0 m/s. The train horn is…

Q: An interstellar spaceship with rest length ?rest = 58.0 m is passing a planet at speed ? = 2.31 ×…

Q: What is the intensity in watts per meter squared of 86.7 dB sound?

Q: vl = 55m @ -90° v2 72" @ 65° N of W X component Y component Sketch and label the angle V1 V2 V1 + V2…

A: Dear student The resultant of vector quantities can be expreswed as vector sum of all of the…

Q: - An empty plastic jar has a volume of 1 and its owvn mass of 100 g. What mass of Tead shot can it…

A: Given: The volume of the jar is 1 L. The mass of the jar is 100 g = 0.1 kg. The density of the water…

Q: In this example, the friction force between a vehicle's tires and the road provides the radial…

A: Write the given values below. R=250 mμs=0.9

Q: 40-loop circular coil has a radius of 10.0 cm. It is placed in a magnetic field so that the field…

Q: Two cars are parked next to one another. One car has a mass of 1291 kg, and the other has a mass of…

A: Two cars are parked next to one another. One car has a mass of 1291 kg, and the other has a mass of…

Q: You have two coils, one circular with diameter of length 'a' and another square with each side of…

Q: A ball is thrown vertically upward from a point 80 ft above the ground with an initial velocity of…

Q: A velocity selector uses a fixed electric field of magnitude E and the magnetic field is varied to…

Q: A train weighs 16,000 KN. The train resistance is constant at 96,000 N.If 6000 hp are available to…

Q: Work g the partic

Q: This time we have a crate of mass 47.9 kg on an inclined surface, with a coefficient of kinetic…

A: Given: The mass of the crate is 47.9 kg. The coefficient of the kinetic friction is 0.145. The…

Q: A convex lens is set up on a table. On one side is an illuminated object of size 5 cm that is 28 cm…

Q: of charges +75 , +48 and -85 μC are places in a line (see the figure ) the center one is 0.35 m from…

A: Givenq1=75 μCq2=48 μCq3=-85 μC

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

1. (a) What is the highest-order maximum for 400 -nm light falling on double slits separated by 25 µm?
Hint: Is there a limit on how many bright and dark bands appear on a pattern?
(b) What part of the EM spectrum does this wavelength belong to?
Visible Region/Ultraviolet
O Infrared
X-rays

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

Figure 24.26 shows the interference pattern of two radio antennas broadcasting the same signal. Explain how this is analogous to the interference pattern for sound produced by two speakers. Could this he used to make a directional antenna system that broadcasts preferentially in certain directions? Explain. Figure 24.26 An overhead view of two radio broadcast antennas sending the same signal, and the interference pattern they produce.
A Marconi antenna, used by most AM radio stations, consists of the top half of a Hertz antenna (also known as a half-wave antenna because its length is /2). The lower end of this Marconi (quarter-wave) antenna is connected to Earth ground, and the ground itself serves as the missing lower hall. What are the heights of the Marconi antennas for radio stations broadcasting at (a) 560 kHz and (b) 1 600 kHz?
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
A diffraction grating has 2000 lines per centimeter. At what angle will the first-order maximum be for 520-nmwavelength green light?
What is the separation between two slits for which 610-nm orange light has its first maximum at an angle of 30.0°?
The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?
Two radio antennas separated by d = 3.00 102 cm. as shown in Figure P24.7, simultaneously broadcast identical signals at the same the signals. (a) If the car is at the position of the second maximum wavelength. A car travels due north along a straight line at position x = 1.00 103 m from the center point between the antennas and its radio receives the signal. (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance of y = 4.00 102 m northward, what is the wavelength of the signals? (b) How much farther must the car travel from thus position to encounter the next minimum in reception? Hint: Do not use the small-angle approximation in this problem.
Show that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)
What is the spacing between structures in a feather that acts as a reflection grating, giving that they produce a first-order maximum for 525-nm light at a 30.0° angle?
Light of wavelength 500 nm falls normally on 50 slits that are 2.5103 mm wide and spaced 5.0103 mm apart. How many interference fringes lie in the central peak of the diffraction pattern?
How many helium atoms, each with a radius of about 31 pm, must be placed end to end to have a length equal to one wavelength of 470 nm blue light?
TV-reception antennas for VHF are constructed with cross wires supported at their centers, as shown in Figure 24.27. The ideal length for the cross wires is one-half the wavelength to he received, with the more expensive antennas having one for each channel. Suppose you measure the lengths of the wires for particular channels and find them to be 1.94 and 0.753 m long, respectively. What are the frequencies for these channels? Figure 24.27 A television reception antenna has cross wires of various lengths to most efficiently receive different wavelengths.