A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter. Part (b) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. sin(θ2) =

A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter. Part (b) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. sin(θ2) =

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 75P: The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest...

See similar textbooks

Related questions

Q: In certain area in the ocean, its density is 1000 kg/m3, the tidal wavelength of 700 km,wave height…

Q: (iv) Assume that the concentration of NO2 in Delft today is 50 ug/m'. Convert that to ppb (show the…

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

Q: Description of the steps/processes involved based on electromagnetism (any concepts of magnetism) in…

A: Description of the steps/processes involved based on electromagnetism (any concepts of magnetism) in…

Q: what is direction of the force on the charge?

Q: Part A A block with mass 0.50 kg is forced against a horizontal spring of negligible mass,…

Q: Part A An electron experiences a force F= (3.9i – 3.2j) × 10-1ª N when passing through a magnetic…

A: The force on an electron moving with velocity v in magnetic field B is given as F= q(v×B) .

Q: 7. A circuit has 3 A of current. How long does it take 15 C of charge to travel through the circuit?…

A: Given data: Current (I) = 3 A Charge (q) = 15 C Required: Time (t)

Q: A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating signal. What is the…

A: Modulation index : It can be describes the extent to which modulation is done on a carrier signal.…

Q: When climbing into your childhood tree house you realize weight of mass m = 3.0 kg in the middle of…

A: We know that the torque is given as τ= Iα where I is the moment of inertia α is the angular…

Q: VII. QUESTIONS 1. Define magnetic field induction. 2. What is Tangent Law in magnetism? 3. What will…

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

Q: What is the magnitude of the induced current? The 10-cm-wide, zero-resistance slide wire shown in…

A: Given: The magnetic field strength, B=0.60 T Resistance , R=1.5 Ω Length of wire, l=10 cm Speed of…

Q: HANGING MASS

A: In an experiment that measures simple harmonic motion using springs with masses hanging from them:…

Q: A space vehicle is traveling at 3840 km/h relative to Earth when the exhausted rocket motor is…

A: Given : Velocity of the space vehicle = 3840 km/h Relative velocity = 94 km/h

Q: A test charge of + 4 μC is at a field-point P where the electric field E due to other charges is…

A: Test charge , qo = + 4 μC Magnitude of electric field at P , ∣E∣=4x106 N/C Direction of filed is…

Q: A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating signal. What is the…

Q: When laser light is passed through two narrow slits separated by 143 µm, an interference pattern is…

Q: Which best explains why the meniscus of mercury in a glass tube is convex? A) The great attraction…

Q: ch statement is not true about light? It is an electromagnetic wave. It travels in vacuum at 3 x…

A: light It is an electromagnetic wave

Q: A wave is traveling at 64 m/s on a string with a linear density of 0.062 kg/m. What is the tension…

A: Given, speed of wave (V) = 64 m/s Linear density (p) = 0.062 kg/m Let T be the tension of the…

Q: Describe the feeling of apparent weight as compared to the weight at rest, during accelerated and…

Q: What is the position and nature of image formed by lens combination shown in figure? (Where, f1 and…

Q: 1. Three resistors, 250, 450, and 750, are connected in series, and a 0.51-A current passes through…

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Determine the net work done on a 15.0 kg object that accelerated from 8.0 m/s to 16.0 m/s

A: Given data: Mass (m) = 15.0 kg Initial velocity (Vi) = 8.0 m/s Final velocity (vf) = 16.0 m/s…

Q: A 110 g granite cube slides down a 40 ∘ frictionless ramp. At the bottom, just as it exits onto a…

Q: For a electron) moves horizontally with a speed of 1.55 X 10^6 m/s between two horizontal parallel…

Q: Solve what are asked for in the following problems. Show complete solutions by showing the…

Q: A spring has a natural length of 10 in., and a 30-lb force stretches it to 11 1/2 in. Find the work…

Q: A small block slides down a frictionless track whose shape is described by y = (x^2) /d for x0. The…

Q: A camera lens used for taking close-up photos has a focal length of 11.8 mm. The farthest it can be…

A: Solution:- 1) The power of a lens is given by P = 1/f Here, P = Power of…

Q: An aluminum disk is held between the poles of a powerful magnet and then pulled out. The person…

A: When there is change in magnetic flux linked with a closed surface ,then emf is induced .If circuit…

Q: A flat circular coil of wire of 40 loops must flow in as a the wire to produce a magnetic field B of…

Q: A sample of a diatomic gas is kept at 294 K in a 17,735 cm3 cubical container. Calculate the minimum…

Q: R 프2 VMg A horizontal bar of length R 2.0 m and mass M 4.0 kg is allowed to pivot in a vertical…

Q: A quantum of light energy is called a/an ______________. a. index of refraction b. intensity 3.…

A: Required: The quantum of light energy

Q: What is the instantaneous acceleration of a car at t = 3s with velocity v(t) = 2t²+3

Q: Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of (about…

A: Here, process is carried out at constant pressure this means the process is isobaric calculate work…

Q: A crate of mass 62 kg is pushed along a floor with a force of 20 N for a distance of 5 m. Calculate…

A: Given: Mass of crate (m) = 62 kg Force (F) = 20N Distance (s) = 5m

Q: A particle moves on a circular path of radius 200m, with a velocity of t2 where t is in seconds.…

A: Write the given values with the suitable variables. r=200 mv=t2 m/st=10 s Here, r is the radius, v…

Q: A bear is sitting on a rock in the middle of a calm river when he observes a fish directly below.…

Q: If a block of ice melts at the rate of 72/(2t+ 3) cm³/min, how much ice melts during the first 3…

Q: Blue skies and red sunsets are due to _______________. a. Mie scattering b. Rayleigh scattering c.…

Q: Currents Ii and I3 through R1 and R3, respectively

A: R1 and R2 are connected in parallel , hence they have same voltage deference voltage across R2 is…

Q: The gauge pressure in your car tires is 2.50*10 ^5*N/ (m^2) at a temperature of 35.0 C when you…

A: Write the given values with the suitable variables. p1=2.50×105 N/m2T1=35 °C=308 KT2=-40 °C=233 K…

Q: Part A A 76 N resistor and a 8.7 µF capacitor are connected in series to an ac source. Calculate the…

Q: A spring-mass system has a natural period of 0.21 sec. What will be the new period if the spring…

A: Given data: A spring-mass system Original period (T) = 0.21 s Required: New period if spring…

Q: Find the total resistance of the resistors and the time constant of the given circuit below. Total…

Q: A metal sphere of radius 10 cm carries a charge of +2.0 µC uniformly distributed over its surface.…

A: Given data: Radius of sphere = 10 cm = 0.10 m Charge (q) = +2.0 μC = +2.0×10-6 C Required:…

Q: A crate of mass 62 kg is pushed along a floor with a force of 20 N for a distance of 5 m. Calculate…

A: The given values are listed below. m=62 kgP=20 Nd=5 m Here, m, P, and d are the mass, force, and…

Q: Create a graphic organizer containing a key concept about "Coulomb's Law" and briefly discuss each…

Q: A 1.00 kg rock at rest is lifted a distance 5.00m above the ground for 3.00 s. What is the Power…

A: mass of rock (m) = 1 kg height (h) = 5 m time taken (t) = 3 seconds

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

A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter.

Part (b) Find the sin of the angle, θ₂, at which the 2nd order maximum will be observed, in terms of d and λ.

sin(θ₂) =

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

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

Problem 8: A laser beam with wavelength λ = 550 nm hits a grating with n = 2250 grooves per centimeter. Part (a) Calculate the grating spacing, d, in centimeters. Part (b) Find the sin of the angle, θ2, at which the 2nd order maximum will be observed, in terms of d and λ. Part (c) Calculate the numerical value of θ2 in degrees. please help with all 3 parts
An x-ray was used to examine a sample of chromium having a BCC crystal structure.Using x-rays having a wavelength of 0.1682 nm, a diffractometer is used. The distorting (010) aircraft is the plane. Chromium has an atomic radius of 0.125 nm. A)Compute the interplanar spacing and Calculate the diffraction angle. Assume second-order of diffraction, n = 2.
Add the following quantities graphically, and using the phasor model y₁ = 10 sin(wt) y₂ = 10 sin(wt + 120°) y3 = 10 sin(wt + 240°)
Two interfering light waves have intensities of 20,W,m−2 and 40,W,m−2 , and the phase difference between them at some point P is π/3 . The intensity at P, in W m−2 , including interference is:(give your answer as a decimal to 1.d.p.)
Problem 3: Calculate the number of longitudinal formulas within the laser emission line of a Fabry- Perot marlin of length 1 m and the quality factor 1x 10° in a transverse oscillation formula TEM00 given that the laser wavelength 1.06 µm and the refractive index of active medium 1.5
For sodium light of wavelength 5893Å, calculate thickness of quarter wave plate. Given ne = 1.553 and no = 1.544.
Structure factor of diamond. The crystal structure of diamond is described in Chapter 1. The basis consists of eight atoms if the cell is taken as the conventional cube. (a) Find the structure factor S of this basis. (b) Find the zeros of S and show that the allowed reflections of the diamond structure satisfy v, + U2+ Uz = 4n, where all indices are even and n is any integer, or else all indices are odd (Fig. 18). (Notice that h, k, l may be written for v, v2, Uz and this is often done.)
If the optical power entering an optical fiber is I=1000 mW Its length is z = 100 km The loss is a=0.2 dB/Km. What is the window capacity?
What angular resolution would you expect from a pinhole with a 0.55 mm diameter?(Assume light with a wavelength of 540 nm .) Express your answer using two significant figures. να ΑΣφ ? 0min rad
Often in optics scientists take advantage of effects that require very high intensity light. To get the desired effect a scientist uses a laser with power P = 0.0015 W to reach an intensity of I = 350 W/cm2 by focusing it through a lens of focal length f = 0.15 m. The beam has a radius of r = 0.0011 m when it enters the lens.Randomized VariablesP = 0.0015 WI = 350 W/cm2f = 0.15 mr = 0.0011 m Part (a) Express the radius of the beam, rp, at the point where it reaches the desired intensity in terms of the given quantities. (In other words, what radius does the beam have to have after passing through the lens in order to have the desired intensity?) Part (b) Give an expression for the tangent of the angle that the edge of the beam exits the lens with with respect to the normal to the lens surface, in terms of r and f? Part (c) Express the distance, D, between the lens's focal point and the illuminated object using tan(α) and rp. Part (d) Find the distance, D, in centimeters.
Q1/ A/ Consider a resonator consisting of two concave spherical mirrors both with radius of curvature 4 m and separated by a distance of 1 m. Calculate the minimum beam diameter of the TEMy mode at the resonator center and on the mirrors when the laser oscillation is Art laser wavelength 2=514.5 nm. Then, Find if this cavity is stable or not. B/ One of the mirrors in A is replaced by a concave mirror of 1.5m radius of curvature, calculate the position of minimum beam radius. Then calculate the beam waist and radius of curvature at 150 cm from M1.
The first order diffraction peak of a crystalline solid occurs at a scattering angle of 30° when the diffraction pattern is recorded using an x-ray beam of wavelength 0.15 nm. If the error in measurements of the wavelength and the angle are 0.01 nm and 1° respectively, then the error in calculating the inter-planar spacing will approximately be (а) 1.1x107 пт (b) 1.3x10 пт (c) 2.5 x10 nm (d) 2.0x 10> пт