Answered: A diffraction grating has 1570…

A diffraction grating has 1570 lines/cm. What is the highest order m that contains the entire visible spectrum from 400 nm to 700 nm? (a) m = 4 (b) m = 9 (c) m = 3 (d) m = 2 (e) m = 5

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 30PQ

See similar textbooks

Related questions

Q: On a fictional planet, the gravitational acceleration is g is different from Earth's. Imagine that,…

A: Given we are dropping the ball from rest,u=0 (initial velocity)as we have formula,s=ut+12at2…

Q: A ball moving at +4.5 m/s along a table rolls off a table and lands on the ground 2.05m away. How…

A: Given data: Initial horizontal velocity (v0x) = +4.5 m/s Horizontal displacement (Δx) = 2.05 m…

Q: A tennis ball was launched at 42 degrees above horizontal. It reached a maximum height of 30 m. 9.…

A: Given data: Angle (θ) = 42° Maximum height (H) = 30 m Required: The horizontal range (R)

Q: 27. A spring is attached to a 2.5-kg mass on the horizontal frictionless surface. The spring is…

Q: A steel aircraft carrier is 400 m long when moving through the icy North Atlantic at a temperature…

A: Data provided: Original Length (L0) = 400 m Initial temperature = 2.89°C Final temperature = 25.2°C…

Q: In a game of football outdoors on a cold day, a player will begin to feel exhausted after using…

A: We know , ΔU = Q + W Since the football player used energy, that means that heat was given off to…

Q: 11. a) State Lenz's law and it's conditions. b) Indicate the direction of the induced current in the…

A: An induced electric current must travel in a direction that opposes the change that caused it,…

Q: quarterback throws a pass that is a perfect spiral. In other words, the football does not wobble,…

Q: TH1: A 39% maximum efficient coal-fired power plant needs to produce 600 MW of power. A. To achieve…

A: Given(s): The wastewater is dumped into a late of temperature T2=13 oC=(13+273) K=286 K .…

Q: One end of each of two identical strings is attached to a wall. Each string is being pulled equally…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A large motor in a factory causes the floor to vibrate at a frequency of 10 Hz. The amplitude of…

A: Given:- The frequency f = 10 Hz The amplitude A = 3.0 mm Find:- Estimate the maximum acceleration…

Q: A gas, initially at 22 C expands from 2.5 m3 to 5 m3 while keeping constant pressure of 10^5 Pa. A.…

A: Given value--- initial temperature = 22 degree C. V1 = 2.5 m3 V2 = 5 m3 . constant pressure = 105…

Q: A uniform solid cylindrical log begins rolling without slipping down a ramp that rises 26.8° above…

A: The gravitational force provides a torque τ on the cylinder if we set the point on the ramp where…

Q: The electric power generated by a single average size nuclear reactor block is typically between 400…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 6. A solid aluminum bar weighs 89 N in air. a. What is its volume? b. If it is suspended from a rope…

Q: spherical steel ball bearing has a diameter of 2.540 cm at 25.00OC. What is its diameter (in cm)…

Q: in the figure, point P is at perpendicular distance R-2.32 cm from a very long straight wire…

Q: An aluminum rod is 20.0 cm long at 20OC and has a mass of 350 gram. If 10000 joule of energy is…

Q: Many hot-water heating systems have a reservoir tank connected directly to the pipeline, so as to…

A: Write the given values with the suitable variables. L=66.6 mr=8.26×10-3 mT1=20.8 °CT2=67.3 °C Here,…

Q: 31. A Ferry boat has 5000 kg mass with a total volume of 30 cubic meters. For safety reason, the…

A: Given, Mass of ferry boat(m)=5000kg Volume of ferry boat (V)= 30m3 maximum load is reached when…

Q: Find the center of mass of the region between the curves y=1−x^2 and y=x^2(Assume the region has…

A: Given: f(x)=y=1-x2g(x)=y=x2

Q: The following velocity-time graph shows the motion of an object. Velocity (m/min) V 20 -20 -40 20 46…

Q: 16. 17. A scientist is performing an extended experiment and has a sample of 25.0 g of Cobalt-60,…

Q: The diagram shows the cross-section of a roof. What is the distance BC across the base of the roof?…

Q: A 0.30-kg ball is attached at the end of a 0.90-m-long stick. The ball and stick rotate in a…

Q: A bullet of mass 90 grams, traveling at 120 m/sec, strikes a stationary aluminum block (M = 3.00 kg)…

A: mass of bullet, m=90 gram=0.09 Kgvo=120 m/sMass of block, M=3 Kgv=40 m/s

Q: A 5 kg mass is placed in an elevator that is accelerating upwards at 4 m/s². The apparent weight of…

A: Given data: Mass (m) = 5 kg Acceleration (a) = 4 m/s2, vertically upward Required: The apparent…

Q: A block of crown glass is immersed in water as in the figure shown below. A light ray is incident on…

A: A block of crown glass is immersed in water. A light ray is incident at point Q on the top…

Q: Jojie throws a hammer to their backyard which is projected with a velocity of 30 m/s at 70° to the…

Q: What is the approximate cost of operating a 80 W light bulb for 3.0 h per day for 2 weeks, if…

A: Q9. The given data we have Rating of the bulb: 80W Total time the bulb was operated: 3.0h per day…

Q: satellite is located 295 km above Earth. a) Find the ratio of the acceleration due to gravity at…

Q: Two children hang by their hands from the same tree branch. The branch is straight, and grows out…

Q: 6. A smooth wooden block is placed on a smooth wooden tabletop. You must exert a 14.0N force to keep…

A: Given value--- applied force = 14 N. weight of block = 40 N. weight of brick = 20 N. We have to…

Q: hello tutor. i dont get the answer at 2nd question. what is the choice then

A: In 2nd question, Three force of magnitude F and 2F are acting on each of the thin square sheets.…

Q: 14. Estimate the linear separation of two objects that the human eye can resolve at a distance of 1…

A: Given data: The diameter is, D=5 mm The radius is,r=2.5 mm The distance, d=1 m The wavelength is,…

Q: Water is most dense at 4°C; below this temperature water expands and becomes less dense. What do you…

A: At 4° C, the thermal kinetic forces are not strong enough to break all the h-bonds apart, but the…

Q: Answer the following. (a) What is the surface temperature of Betelgeuse, a red giant star in the…

A: Write the expression for Wien's displacement law. λmaxT=bλmaxT=2898 μm⋅K Here, λmax is the peak…

Q: X-rays are scattered from a target at an angle of 75.4° with the direction of the incident beam.…

A: Given data: The angle, θ=75.4°

Q: 1. Consider an RLC circuit with driving emf amplitude Em = 12 V, resistance R = 4.02, inductance L =…

A: Note:- You have posted multiple different question. As per bartleby guidelines (regarding multiple…

Q: 19. Using hydraulic system, you can raise a car ( m = 1500 kg) to a height of 2.5 meters. If the…

A: The given problem is based on the application of Pascal's principle. By using pressure we will be…

Q: how much would a 10lb bowling ball weigh on an exoplanet that was twice as massive as Earth but had…

Q: A monatomic ideal gas (γ = 5/3) is contained within a perfectly insulated cylinder that is fitted…

Q: A 1,019 kg car with 230.5 horsepower is driving up a 498.4 meters mountain. How long (in seconds)…

Q: A thin circular hoop is released from rest at the top of a plane inclined at 12.1 degrees above the…

A: Given data The inclination of the inclined plane is given as θ=12.1°. The height from where the…

Q: Where must a small insect be placed if a 25-cm-focal-length diverging lens is to form a virtual…

Q: Two line conductors are connected to a semi-circle with radius a, as shown below. If the current has…

Q: As shown in the figure below, a light ray is incident normal to one face of a 30°-60°-90° block of…

Q: A room has a volume of 349 m³. An air-conditioning system is to replace the air in this room every…

A: GivenV=349 m3t=81.5 minutesas duct cross section is square,so let its side be of length , a…

Q: Three resistors with resistances R1 = 0.71 ohm, R2 = 5.11 ohm, and R3 = 9.27 ohm are is series…

A: Given R1 = 0.71 ohm R2 = 5.11 ohm R3 = 9.27 ohm These resistor are in series We need to find…

Q: A bullet of mass 90 grams, traveling at 120 m/sec, strikes a stationary aluminum block (M = 3.00 kg)…

A: Given data: m1 = 0.090 kg, u1 = 120 m/s m2 = 3.00 kg, u2 = 0 m/s V1 = 40 m/s and V2 = 2.40 m/s…

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

A diffraction grating has 1570 lines/cm. What
is the highest order m that contains the entire
visible spectrum from 400 nm to 700 nm?
(a) m = 4
(b) m = 9
(c) m = 3
(d) m = 2
(e) m = 5

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

The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 33.30 relative to its surface, using an x-ray source of unknown wavelength. Additionally, when illuminated with a different x-ray, this time of known.wavelength 0.205 nm, a second-order maximum is detected at 22.20. Determine the spacing between the reflecting planes.. Select one: O a. 0.19nm O b. 1.84nm O c. 0.27nm O d. 0.54nm
A parallel X-ray beam is diffracted by sodium chloride. Strong first-order is obtained when the Bragg angle (the angle between the crystal planes and the emerging beam) is 6º 50’. The distance between the planes that are in the reflection position in the crystal is 2,8 Å. 1 angstron = 1 Å = 0,1 nm. a) What is the wavelength of X-rays?
Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?
In the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.820 nm makes an angle θ = 62.3˚ with the top face of the crystal. What is the unit cell size a0?
The limit to the eye’s visual acuity is related to diffraction by the pupil.D = 2.85 mmdh = 1.25 m a. What is the angle between two just-resolvable points of light for a 2.85 mm diameter pupil in radians, assuming an average wavelength of 550 nm? θmin = b. Take your result to be the practical limit for the eye. What is the greatest possible distance in km a car can be from you if you can resolve its two headlights, given they are 1.25 m apart? L= c. What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye in mm? da =
The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separations between these two spectral lines can be obtained with a diffraction grating that has 4.50 x 103 lines/cm?
ds. The metal Rubidium has BCC crystal structure of hike angle of diffraction for the 32.1 set of planes occurs at 27° first order reflection when monochromatic X-radiation wavelength of 0.0721 am is used having Compute (a) The inter-planar spacing for this set of planes. (b) Atomic radius for the rubidium atom. a
ress SA A thin film of magnesium fluoride (n = 1.38) is applied to glass (n = 1.50) with a thickness of 100 nm. For what visible wavelength of light will this coating act as nonreflecting? Assume normal incidence. O 491 nm O 600 nm O 504 nm 552 pm Q Search 15 40 %5 6 Il app.honorlock.com is sharing your screen. Stop, sharing Hide 99+ 3+ hp 103 a malip 8
A diffraction grating of 1000 groove/mm is used in an experiment with two wavelengths A1 = 445 nm and 12 = 626 nm. Calculate the angular dispersion of the first order for the second wavelength (in rad/cm). 2564.6844 C 76940.5309 C 102587.3745 C 51293.6873 C 12823.4218 C
A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^7 ? is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?
The light from an iron arc includes many wavelengths. Two of these are at 1 = 524.321 nm and 2 = 524.0042 nm. You want to resolve these spectral lines in first order using a grating of 1.20 cm in length. What minimum number of slits per centimeter must the grating have?