Answered: A grating has 600 rulings/mm and is 5.0…

A grating has 600 rulings/mm and is 5.0 mm wide. (a)What is the smallest wavelength interval it can resolve in the third order at l = 500 nm? (b) How many higher orders of maxima can be seen?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 114AP: If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light...

See similar textbooks

Related questions

Q: A beam of light consists of two wavelengths, 590.159 nm and 590.220 nm, that are to be resolved with...

A: The expression for resolving power R is,

Q: The magnetic component of a polarized wave of light is given by Bx(4.00 mT) sin [ky=(2.00*1015 s/1)...

Q: A magnetic rod with length 6.00 cm, radius 3.00 mm, and (uniform) magnetization 2.70 *10^3 A/m can t...

Q: A thin metal rod that is 1.10 m long has a mass of 58.0 g. What is the minimum current (in A) in the...

Q: Would we obtain equilibrium on the Moon with g’=g/6? Discuss the effect of changing the gravitationa...

Q: As a parallel-plate capacitor with circular plates 20 cm in diameter is being charged, the current d...

Q: To eight significant figures, what is speed parameter beta if theLorentz factor gama is (a) 1.010 00...

Q: Starting from Newton’s law of universal gravitation, show that for a small object of mass m in a cir...

Q: 51. As you enter a fine restaurant, you realize that you have accidentally brought a small electroni...

A: The frequency of the buzzer due to turn on and off,

Q: Estimate the radiation pressure due to a bulb that emits 25W of EM radiation at a distance of 9.5 cm...

Q: A 55 kg diver stands motionless and perfectly tangentially on the very far end of a 16 - foot -long ...

A: The given values are,

Q: What is the depth of a lake if pressure of 8×105 [Pa] acts upon its bottom?

A: The pressure at the bottom of the lake,

Q: 11. Shown is X-ray spectrum diagram for iron. Which of these is a possible quantized X-ray photon en...

Q: Project Seafarer was an ambitious program to construct an enormous antenna, buried underground on a ...

Q: 3. Calculate the amount of movement that is transported in 1m^3 of an electromagnetic wave that trav...

A: Given information: Here, V is the volume of the em wave and S is the pointing vector’s magnitude.

Q: QUESTION 8 An electron in hydrogen absorbs a photon and jumps from orbit n = 2 to n = 4. Using ...

A: Given Energy of the electron in orbit n = 2 is E2= -3.4eV Energy of the electron in orbit n = 4 is ...

Q: A beam of intensity I reflects from a long, totally reflecting cylinder of radius R; the beam is per...

Q: During a test, a NATO surveillance radar system, operating at 12 GHz at 180 kW of power, attempts to...

A: Since there are multiple sub parts posted, we will answer the first three sub parts. a)Assume that t...

Q: An actual battery used for this purpose has a capacity of 13.5kWh and an efficiency of 90. The batte...

A: Volume = 115*75.3*14.7 V = 127294.65 cm3 volume V = 0.127 m3

Q: The average intensity of the solar radiation that strikes normally on a surface just outside Earth’s...

A: Given, Intensity I = 1.4 kW/m2 = 1400 W/m2 And we know radiation pressure here will be given by: Pr...

Q: Space station question.

Q: Light of wavelength 624 nm is incident perpendicularly on a soap film (n=1.33) suspended in air.What...

A: The condition for the film to undergo fully constructive interference for the given case is

Q: Earth’s exosphere is the atmosphere’s highest zone, where the gas density is very low. In fact, an o...

A: Basic Details The root mean square speed of the particle is the root of the square of the average sp...

Q: The human ear can detect a minimum intensity of Io = 10-12 W/m2, which has a sound intensity of 0 dB...

A: The expression for the intensity of sound is

Q: An object is placed 28 cm from a convex spherical mirror with a focal length of 21 cm. Estimate wher...

Q: Technetium-99 (half-life = 6.0 h) is used in medical imaging. How many half-life's would go by in 34...

Q: Light at wavelength 589 nm from a sodium lamp is incident perpendicularly on a grating with 40 000 r...

A: From the condition of maxima, m=1,

Q: A beam of light consisting of wavelengths from460.0 nm to 640.0 nm is directed perpendicularly onto ...

Q: 117 A luminous object and a screen are a fixed distance D apart. (a) Show that a converging lens of ...

Q: QUESTION 9 In the picture are two diagrams of the first five orbits in the Bohr model labeled A...

Q: The saturation magnetization Mmax of the ferromagnetic metal nickel is 4.70* 10^5 A/m. Calculate the...

A: The saturation magnetization of nickel,

Q: 3. A radio turning circuit consists of a fixed capacitor and a variable inductor. The tuner is tuned...

Q: Three polarizing sheets are stacked. The first and third are crossed; the one between has its polari...

A: The first polarizer reduces the intensity of the beam by factor of ½ and hence the intensity of the ...

Q: #69

A: (71) The given values are,

Q: Can you please solve this question and show all of the steps

Q: two light rays pass from air through five layers of transparent plastic and then back into air.The l...

A: Ray a is considered to be incident at an angle 0°.

Q: Thanks!

Q: 9 Figure 34-30 shows four thin lenses, all of the same material, with sides that either are flat or ...

Q: A 1200 kg car carrying four 75 kg people travels over a “washboard” dirt road with corrugations 4.4 ...

A: The value of spring constant is,

Q: The citizen leaves a city at 3:00 p.m. It travels at 36.0 m / s when the engine of its car stops. Du...

A: Given: Initial speed of car (u) = 36.0 m/s During first t1 =12 seconds the acceleration of car = a1....

Q: Afarmer has a 200 kg barrel that he must pull up a ramp to a helght of 5 m. His old horse can apply ...

A: Given information: Here, m is the barrel’s mass, F is the maximum force applied on the barrel for t...

Q: 21-1 Assume that a certain location on the Earth reflects 28.0% of the incident sunlight from its cl...

Q: what are the two necessary and sufficient requirements and conditions for Static Equilibrium.

Q: I have 3 questions for a lab I need help with, I need to submit it in 5 hours, please help

Q: Monochromatic light with wavelength 538 nm is incident on a slit with width 0.025 mm.The distance fr...

A: a) The expression to determine the θ,

Q: 79 SSM (a) Prove that a ray of light incident on the surface of a sheet of plate glass of thickness ...

A: (a) Consider the diagram below. Form the above diagram if the angle θ1 is equal to angle θ2, then t...

Q: 5.A student finds a spring that is labeled k=45 N/m. She hangs it vertically and attaches a 500 g ma...

Q: A solenoid 150 cm long has a radius of 4 cm. Approximately how many turns are needed to make the sol...

Q: A person with refractive myopia can see objects as close as 25 cm clearly, and objects as far away a...

Q: What is the energy of a photon that has the same wavelength as a 12-eV electron? (Ans. 3.5 keV)

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 grating has 600 rulings/mm and is 5.0 mm wide. (a)What is
the smallest wavelength interval it can resolve in the third order at
l = 500 nm? (b) How many higher orders of maxima can be seen?

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

Part (a)

Step 2

Step 3

Step 4

Step 5

Part (b)

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 6 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

When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?
Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the intensity of a secondary maxima compared to that of the principal maxima?
A single slit of width 2100 nm is illuminated normally by a wave of wavelength 632.8 nm. Find the phase difference between waves from the top and one third from the bottom of the slit to a point on a screen at a horizontal distance of 2.0 m and vertical distance of 10.0 cm from the center.
Using the result of the problem two problems prior, find the wavelength of light that produces fringes 7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm.
At what angle is the first-order maximum for 450-nm wavelength blue light falling on double slits separated by 0.0500 mm?
If the separation between the first and the second minima of a single-slit diffraction pattern is 6.0 mm, what is the distance between the screen and the slit? The light wavelength is 500 nm and the slit width is 0.16 mm.
In a double-slit experiment, the fifth maximum is 2.8 cm from the central maximum on a screen that is 1.5 m away from the slits. If the slits are 0.15 mm apart, what is the wavelength of the light being used?
A 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?
If a diffraction grating produces a first-order maximum for the shortest wavelength of visible light at 30.0°, at what angle will the first-order maximum be for the largest wavelength of visible light?
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at =523 nm. What is the width of the central principal maximum on a screen 2.35 m away?
A monochromatic light of wavelength 589 nm incident on a double slit with slit width 2.5 m and unknown separation results in a diffraction pattern containing nine interference peaks inside the central maximum. Find the separation of the slits.