Light is diffracted by a diffraction grating that has 4,061 lines per centimeter. Calculate the wavelength of light in units of nm if the diffracted light has its second-order maximum at 45.0 degrees.

Light is diffracted by a diffraction grating that has 4,061 lines per centimeter. Calculate the wavelength of light in units of nm if the diffracted light has its second-order maximum at 45.0 degrees.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 86AP: The movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of...

See similar textbooks

Related questions

Q: We have shown that the composition of two surjective functions is surjective, i.e. that if ƒ : A → B…

Q: Determine the strength of the electric current flowing in a closed circuit as shown above, if known,…

A: Given data: R1 = 15 Ω and R2 = 10 Ω ε1 = 9 V and ε2 = 13 V Required: The current flowing in the…

Q: A small block of mass m slides without friction around the loop-the-loop apparatus of radius 4 m as…

Q: A small, 0.300-kg bird is flying horizontally at 3.65 m/s toward a 0.750-kg thin bar hanging…

Q: Question 3: You are an astronomer and are searching for planets in other stellar systems for which…

A: The surface temperature of the New sun is 1.4 times that of our sun.

Q: A 1.9-kg object rests on a horizontal frictionless surface. It is in a position such that it is…

Q: d) A projectile is fired with v, = 25 m/s and angle = 45°. Therefore, calculate the followings: Draw…

Q: a. You want to get rescue supplies to the stranded explorer. There are two parts to this mission.…

A: Given: The height of the cliff: hy=197 m The length of the river: hx=34.25 m Known: The vertical…

Q: Suppose a lens is placed in a device that determines its power as 3.05 diopters. (a) Find the focal…

Q: The pV diagram in (Figure 1) shows a process abc involving 0.550 mol of an ideal gas. For related…

Q: A merry-go-round of 15.0m in diameter begins spinning with an angular acceleration of 0.600 rad/s².…

A: Given Diameter of the merry-go-round is d=15.0 m Angular acceleration is given as α=0.600 rad/s2…

Q: The microwave radiation left over from the Big Bang explosion of the universe has an average energy…

Q: 4. A uniform line charge of density p=1.5uC/m is arranged in the form of a square 8m on a side in…

A: It is given that the line charge density is ρl=1.5 μC/m. The diagram is shown below:

Q: Which object will fall faster in a nonuniform magnetic field, a conducting loop with radius R of a…

A: Given, In a non uniform magnetic field, A conducting loop with radius R and a straight wire with…

Q: Unpolarized light whose intensity is 1.08 W/m² is incident on the polarizer in the drawing. (a) What…

A: Given, The intensity of unpolarized light, I=1.08 W/m2 The angle at which the analyzer is set,…

Q: Two vehicles A and B are traveling west and south, respectively, toward the same intersection where…

A: .

Q: The graph shows the position of an object in simple harmonic motion. At which labeled point is the…

A: Solution:- The displacement of an object from mean position, executing simple harmonic motion, is…

Q: At 11:00 you place a singel bacterium in a bottle, and at 11:01 it divides into 2 bacteria, which at…

A: Given data: At 11:00, a single bacterium in a bottle At 11:01, Number of Bacteria = 2 At 11:02,…

Q: 5) What is the wavelength of a photon in nanometers, having energy of 2.00 eV? (c-3.00 - 10² m/s, ==…

A: Given, Energy E = 2eV We need to find, Wavelength =?

Q: Gamma rays may be used to kill pathogens in ground beef. One irradiation facility uses a 60Co source…

A: We know that 1Ci=3.7×1010decay/sec The given activity is =1.0×106Ci. Then the activity on decay/sec…

Q: What fraction of the total volume of an iceberg is exposed above the surface of the ocean? DATA for…

Q: •• A 92-kg astronaut and a 1200-kg satellite are at rest relative to the space shuttle. The…

Q: A spring has spring constant k and a 0.40 kg mass attached to its end, which has a maximum speed of…

A: Given data: Mass (m) = 0.40 kg Maximum speed (vmax) = 2.5 m/s Amplitude (A) = 1.8 m Required: The…

Q: A disk rotates about its central axis starting from rest and accelerates with constant angular…

Q: Water has a mass density of 1000 kg/m3. If a block of volume 20 m3 is fully submerged in water, what…

A: Given data: A block is fully submerged into the water Density of water (ρ) = 1000 kg/m3 Volume (V)…

Q: In the figure, an open tank contains a layer of oil floating on top of a layer of water (of density…

Q: Q.4(a) Given R₁-16.00, R₂-24.02, R₁-32.002 and R4-40.052, find (i) the equivalent resistance of the…

Q: A cart m1 with mass of 500 g rests on an inclined plane that makes an angle θ = 15° with the…

Q: Find the orbital speed of a satellite in a circular orbit 3.45x107 m above the surface of the Earth.…

A: Given Height of the orbit above the surface of the Earth is h=3.45×107 m We have to find the…

Q: Stacks of Graphs vs time graphs, sketch the corresponding velocity vs time Given the following…

A: "Since you have posted a question with multiple sub-parts, as per strict guidelines to us we will…

Q: An argon-ion laser produces a cylindrical beam of light whose average power is 0.910 W. How much…

Q: An object of mass 3.1 kg with a certain initial speed on a horizontal surface comes to rest after…

A: Given, the mass of the object: m=3.1 kg The distance traveled before stopping: d=15.9 m The…

Q: An electromagnetic wave strikes a 1.26-cm² section of wall perpendicularly. The rms value of the…

A: Given Data:- Area of the section of the wall is A=1.26 cm2 =1.26×10-4 m2 Rms value of the wave's…

Q: By what factor k must the sound intensity be increased to increase the sound intensity level by 12.9…

A: Given Data, The increment in sound intensity level (∆β)=12.9 dB

Q: A spherical molecule has a radius of 6.50 x108 m, and a density of 3.90 x103 kg/m³. It is suspended…

Q: A wire coil of 20 turns has a cross-sectional area of 8 cm2. The coil is placed in a uniform field…

Q: A pitcher throws a stone horizontally from the top of a cliff 45 m high. Use g=10 m/s2 How long does…

A: Given data: A stone is thrown horizontally from the cliff Height (h) = 45 m g = 10 m/s2,…

Q: Submarines need to be extremely strong to withstand the extremely high pressure of water pushing…

Q: The triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 50.4 degrees.…

A: given: The angle of the prism: α=50.4° The triangular cross-section of the prism is isosceles. Hence…

Q: A laser emits a narrow beam of light. The radius of the beam is 5.7 mm, and the power is 3.0 mW.…

A: Given data: Radius (r) = 5.7 mm = 5.7×10-3 m Power (P) = 3.0 mW = 3.0×10-3 W Required: Intensity…

Q: The speed of a pendulum is shown as a function of time (in units of to). (a) Resketch the plot if we…

A: Given that The amplitude of the wave is doubled The length of the pendulum is halved

Q: A rifle bullet of mass 0.050 kg strikes a ballistic pendulum massing 4.950 kg, embedding itself in…

Q: obtameu us Practice Problem: If the car in Example 2.5 maintains its constant acceleration for a…

A: Given data: Initial position (x0) = 0 m Initial velocity (v0x) = +15 m/s Acceleration (ax) = +2.0…

Q: piston mA ideal gas A movable piston (mass = m and cross-sectional area = A) holds 0.5 mol of an…

Q: Ahockey puck of mass 322 g is siding due east on a fictionless table with a speed of 150 ms…

Q: Jonathan connected a bulb of unknown resistance to a 3.7 V battery and measured a current of 1.23 A…

A: Write the given values with the suitable variables. V1=3.7 VI1=1.23 AV2=5 V Here, V1, I1, and V2 are…

Q: Name: G# Page 52-Practice Problem 2.12: Suppose you and the truck are both traveling in the…

A: Let you be Y. the truck be T, and the earth be E, and let the positive direction be north. You and…

Q: 130,3°

Q: warehouse worker is pushing a 90.0 kg crate with a horizontal force of 291 N at a speed of v= 0.875…

A: Introduction: Newton's Second Law of motion: It states that the rate of change of momentum of an…

Q: A 2.00×10-2 Ω square wire loop 40.0 cm on a side has its plane normal to a uniform magnetic field of…

A: Introduction: Faraday's second law of electromagnetic induction states that an emf is induced in a…

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

Video Video

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

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

A horizontal laser beam of wavelength 632.8 nm has a circular cross section 2.00 nun in diameter. A rectangular aperture is to lie placed in the center of the beam so that when the light falls perpendicularly on a wall 4.50 m away, the central maximum fills a rectangle 110 mm wide and 6.00 mm high. The dimensions are measured between the minima bracketing the central maximum. Find the required (a) width and (b) height of the aperture. (c) Is the longer dimension of the central bright patch in the diffraction pattern horizontal or vertical? (d) Is the longer dimension of the aperture horizontal or vertical? (e) Explain the relationship between these two rectangles, using a diagram.
Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.378. (b) What If? If the temperature of the filter increases above the normal value, increasing its thickness, what happens to the transmitted wavelength? (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light.
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?
A microwave of an unknown wavelength is incident on a single slit of width 6 cm. The angular width of the central peak is found to be 25°. Find the wavelength.
A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength (?A, ?B, and ?C). She observes three distinct first-order spectral lines at the following respective angles ?m(where m denotes order). ?1 = 12.6°, ?1 = 14.0°, ?1 = 15.3° (a) If the grating has 3,760 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at ?1 = 12.6° ?A= answer in nm at ?1 = 14.0° ?B= answer in nm at ?1 = 15.3° ?C=answer in nm (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for ?A ?2 = answer in degrees° for ?B ?2= answer in degrees° for ?C ?2= answer in degrees°
A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength (?A,?B, and ?C). He observes three distinct first-order spectral lines at the following respective angles ?m (where m denotes order). ?1 = 12.8°, ?1 = 14.2°, ?1 = 15.0° (a)If the grating has 3,760 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines? at ?1 = 12.8° ?A= nm ?1 = 14.2° ?B= nm ?1 = 15.0° ?C=. nm (b) At what angle (in degrees) would each of these lines be found in the second-order spectrum? for ?A ?2= ° for ?B ?2= ° for ?C ?2= °
Light with a frequency of 453THZ shines down on a layer of oil on top of water. The index of refraction of oil is 1.47. The index of refraction of water is 1.33. Find the minimum thickness of the oil (in nanometers) if the the light is strongly reflected.
Light is incident from vacuum to crown glass; the light's vacuum wavelength is 500 nm, so the refractive index is 1.52 for crown glass. If the light is incident at an angle of 25.0o, what is the angle of light with respect to the normal once its has entered the crown glass? Answer in degrees.
A light ray is incident from air into glass (ng = 1.52) then onto water (nw= 1.33). The wavelength of light in air (na = 1) is Aair = 500 nm and it travels at a speed c= 3 x 10 m/s. The wavelength of light, 1, and its frequency, f, in water, are, respectively: -> 25PM AD 0A ENG
Monochromatic light from a laser passes through two slits separated by 0.00500mm. The third bright line on a screen is formed at an angle of 18.0 relative to the incident beam. What is the wavelength of the light?
A light ray whose frequency is 7.00 x 1014 Hz in vacuum is incident on glass (n=1.50). Determine the wavelength of the light after it enters the glass (in nm). (c=3x10% m/s)
A parallel beam of light, consisting of light of wavelengths 4.5 x 10-7 m and 6.5 x 10-7 m, falls normally on a diffraction grating with 6 x 105 lines per metre. Calculate the second order diffraction angle for each wavelength.