Answered: Given a diffraction grating of red…

Science

Physics

Given a diffraction grating of red light at 650nm at an angle of 37.5o how many lines per cm does the grating have?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 31PQ: A light source emits a mixture of wavelengths from 450.0 nm to 600.0 nm. When the light passes...

See similar textbooks

Related questions

Q: The light from an iron arc includes many wavelengths. Two of these are at 1 = 524.321 nm and 2 =…

Q: Monochromatic light with wavelength A = 680nm falls vertically on an optical grating with N = 100…

A: The formula to calculate the angle of diffraction for a grating is given by:Where:θ is the angle of…

Q: = A bubble is formed by a soap film with index of refraction n 1.3 and a thickness of 325nm. When…

A: given: index of refraction (n) = 1.3 thickness (t)= 325nmformula:λ= 2nt / m+ 1/2λ= 2(1.3)(325)nm /…

Q: When you spread oil (noil = 1.50) on water (nwater = 1.33) and have white light incident from above,…

A: Given Data: nOil =1.50nWater=1.33λred light=750nmλviolet light=380nmtred light=?tviolet light=?

Q: An oil film (refractive index 1.47, thickness 0.12 µm) rests on a pool of water. If light strikes…

Q: When monochromatic light is incident on a slit 22.0 mm wide, the first diffraction minimum lies at…

A: The minima of the diffraction are given by

Q: the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when…

Q: A single slit of width 0.3 mm is illuminated by a mercury light of wavelength 576 nm. Find the…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Under what conditions will a person observe no reflected light? Assume that ttt is the film…

Q: When a plate of thickness 0.05 mm is placed in the path of a Michaelson Interferometer, a shift of…

A: As We know, μ = nλ/2t + 1Here, λ = 5000 Å = 5 X 10-7 m, n = 100, t = 0.05 mm = 5 X 10-5 mTherefore,…

Q: Light with a frequency of 453THZ shines down on a layer of oil on top of water. The index of…

A: Given that--- Frequency = 453 THz refraction index of oil = 1.47 refraction index of water = 1.33…

Q: A beam of 525 nm light is incident on a diffraction grating that has 420 grooves/mm. (a) Determine…

Q: Light is incident from air onto glass of refractive index nG = 1.70; calculate the Brewster angle at…

A: Given in question - refractive index nG = 1.70 To find - Calculate the Brewster angle(θ).

Q: A beam of light propagating through water (nwater = 4/3) strikes a glass plate (nglass = 3/2) at 30°…

Q: A glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible…

Q: The index of refraction of a glass plate is 1.52. What is the Brewster’s angle when the plate is: In…

A: Given data: nglass = 1.52 nair = 1.00 nwater = 1.333

Q: An advanced computer sends information to its various parts via infrared light pulses traveling…

A: Given The refractive index of the material is n = 3.50. The time is taken to process the data by a…

Q: A film of oil (nf = 1.42) 0.00021 mm thick is spread on a glass plate and viewed from above at…

Q: b) Unpolarized light of intensity 20 W icm' is incident on two polarizing filters. The axis of the…

Q: What is the smallest nonzero thickness of an oil (n = 1.46) layer on water that will maximally…

A: Given: The refractive index of the oil is 1.46. The wavelength of the incident light is 573 nm.

Q: The limits of visible spectrum are approximately 400nm to 700nm. Find the angular width of the first…

A: Given: The minimum wavelength of visible light is λmin=400 nm. The maximum wavelength of visible…

Q: Two point sources of light are separated by 5.5 cm. As viewed through a 12um-diameter pinhole, what…

A: Separation between two point source, d = 5.5 cmThe diameter of pinhole, D = 12 μmWavelength for…

Q: The angle between the axes of two polarizing filters is 45.0º . By how much does the second filter…

A: Angle between two filters, A = 45 degree

Q: A diffraction grating has 2500 lines/cm. What is the angle between the first-order maximum for red…

Q: . A Michelson interferometer is used to determine the D spectral line in sodium. If the movable…

Q: Problem 1: You want to test a special watertight monochromatic light source in an un- derwater…

Q: A convex lens is used to focus light waves to a point within its focal length. The convex lens…

A: Given, refractive index of convex lens, R.I = 1.5 wavelength of incident light, λ = 589×10-9 m…

Q: A layer of oil, with a refractive index of 1.40798, 1.03888 mm thick, floats on water. (a) Light of…

Q: A light wave in air strikes the surface of a piece of material of index 1. 529 at at an angle e, =…

Q: White light is sent through an interface of a 100% (w/v) glycerol solution (n = 1.474) and a 20%…

A: refractive index of glycerol solution (n1) = 1.474refractive index of sucrose solution (n2) = 1.364…

Q: How many centimetres is the light ray displaced after passing through the 5.50 cm thick sheet of…

Q: A beam of monochromatic light is diffracted by a slit of width 0.600 mm. The diffraction pattern…

A: Write the expression for width of central maxima.

Q: If 550-nm light is incident normally on a diffraction grating and exactly 11 lines are produced, the…

A: The problem is asking for the ruling separation of a diffraction grating. The formula for the…

Q: The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle…

A: Write the expression for the angle between two points of light and substitute the required values.

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

Given a diffraction grating of red light at 650nm at an angle of 37.5^o how many lines per cm does the grating have?

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

A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?
Figure 3.14 shows two 7.50-cm-long glass slides illuminated by pure 589-nm wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on some debris at the other end, forming a wedge of air. How thick is the debris, if the dark bands are 1.00 mm apart? Figure 3.14 (a) The rainbow-color bands are produced by thin-film interference in the air between the two glass slides. (b) Schematic of the paths taken by rays in the wedge of air between the slides. (c) If the air wedge is illuminated with monochromatic light, bright and dark bands are obtained rather than repeating rainbow colors.
A light source emits a mixture of wavelengths from 450.0 nm to 600.0 nm. When the light passes through a diffraction grating, two adjacent spectra barely overlap at an angle of 30.0. How many rulings per meter are on the grating?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a difraction grating having 1500 lines per centimeter.
If you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?
Two microscope slides made of glass are illuminated by monochromatic (=589nm) light incident perpendicularly. The top slide touches the bottom slide at one end and rests on a thin copper wire at the other end, forming a wedge of air. The diameter of the copper wire is 29.45 m . How many bright fringes are seen across these slides?
What is the wavelength of light falling on double slits separated by 2.00 m if the third-order maximum is at an angle of 60.0° ?
If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?
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?
Components of some computers communicate with each other through optical fibers having an index of refraction n = 1.55. What time in nanoseconds is required for a signal to travel 0.200 m through such a fiber?
Two polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?