Question

In: Physics

(c) Powder diffraction experiment: The incident wavelength of a neutron beam is λ = 2.662 Å....

(c) Powder diffraction experiment:

The incident wavelength of a neutron beam is λ = 2.662 Å. The distance between adjacent atoms in a simple cubic crystal structure is 3.26 Å. Calculate the scattering angle of the 1st,

2nd and 3rd diffraction maximum. Up to which order ’n’ can the diffraction peaks be observed?

Expert Solution

We know the Bragg's diffraction condition

; n = 1, 2 , 3.....................

Where d is inter-atomic separation, is the scattering angle, and is wavelength.

We can write,

According to the question,

So,

For first diffraction maxima i.e., n =1 :

For second diffraction maxima i.e., n =2 :

For third diffraction maxima i.e., n =3 :

hence, only up to 2nd order, diffraction peaks could be observed.

genius_generous answered 8 months ago

In a diffraction grating experiment, green light of wavelength λ = 533 nm is directed on a...

In a diffraction grating experiment, green light of wavelength λ = 533 nm is directed on a diffraction grating that has N = 577 /mm lines. The diffraction pattern is projected on a screen that's located 172.5 (cm from the grating. Find the distance between the first bright fringe and third dark fringe on the screen. your answer should be in SI units (meters) This is a diffraction grating problem, you can not use the approximation

Light with wavelength λ is incident on a double slit with spacing d. A pattern is...

Light with wavelength λ is incident on a double slit with spacing d. A pattern is observed on a screen which is far from the slits (compared to the separation between the slits). a.) Explain whether each of the following is correct or not. 1.) The pattern looks like a wave with bright fringes separated by a distance λ. 2.) The pattern looks like a wave with bright fringes separated by distance d. 3.) The pattern looks like a wave...

A beam of homogenous x-rays with a wavelength of 0.0900Å is incident on a carbon scatterer....

A beam of homogenous x-rays with a wavelength of 0.0900Å is incident on a carbon scatterer. The scattered rays are observed at an angle of 54° with the direction of the incident beam. Find 1. The wavelength of the scattered rays, 2. The energies of the incident and scattered photons 3. The momenta of the incident and scattered photons 4. The energy, velocity, momentum, and angle of the recoil electron

A beam of wavelength 310 nm from a laser is incident on a metal with work...

A beam of wavelength 310 nm from a laser is incident on a metal with work function 2.7 eV. The power of the laser is 0.15 W. (a) Does the metal emit photoelectrons? Why? (b) What is the range of photoelectron kinetic energies emitted by metal? (c) What is the range of de Broglie wavelengths of these photoelectons? (d) How does result for part (b) change if the laser power is doubled to 0.30 W? Thank you.

A circularly polarised beam of light with a vacuum wavelength of 1.55 micro meters is incident...

A circularly polarised beam of light with a vacuum wavelength of 1.55 micro meters is incident on a two cascaded quarter wave-plates, followed by a third unknown wave-plate. The light emerging from the system remains circularly polarised. Find out the Jones vector characterizing the state of polarisation of the incident beam of light?

A laser beam with vacuum wavelength 582 nm is incident from air onto a block of...

A laser beam with vacuum wavelength 582 nm is incident from air onto a block of Lucite as shown in the figure below. The line of sight of the photograph is perpendicular to the plane in which the light moves. Take θ1 to be 60°. Recall that the index of refraction of air is 1 and Lucite is 1.50. (a) Find the speed of the light in Lucite.. m/s (b) Find the frequency of the light in Lucite.. Hz (c)...

Describe the powder X-ray diffraction experiment. List the basic components in your diagram and discuss the...

Describe the powder X-ray diffraction experiment. List the basic components in your diagram and discuss the features/roles of each component. Include Bragg’s Law as well as coherent and incoherent scattering. What types of information can be obtained using this technique? Pros and cons with respect to single crystal XRD?

In the photoelectric effect experiment, a light photon with a wavelength λ=525 nm hits a metallic...

In the photoelectric effect experiment, a light photon with a wavelength λ=525 nm hits a metallic cesium (work function = 3.43 ×10−34 J).\ What is the kinetic energy of the photoelectron produced?

In a double-slit experiment, light with a wavelength λ passes through a double-slit and forms an...

In a double-slit experiment, light with a wavelength λ passes through a double-slit and forms an interference pattern on the screen at a distance L from the slits. What statement is true for the resulting interference pattern if the frequency of the light increases? OPTIONS: The distance between maxima stays the same.T he distance between maxima increases. The distance between maxima decreases. Not enough information given.

Consider an X-ray beam of wavelength 0.1 nm and a gamma ray beam of wavelength 0.00188...

Consider an X-ray beam of wavelength 0.1 nm and a gamma ray beam of wavelength 0.00188 nm. if each is scattered by an angle of 90 degrees by a free electron, what is the compton shift in the wavelength of the rays? in each case also determine the kinetic energy transferred to the recoiling electron and how much of the incident energy in the rays is lost.