In an x-ray diffraction experiment there is only one strong interference maximum, and this occurs when the x-ray beam makes an angle of 36.0° with the crystal planes. The spacing between the crystal planes is 0.158 nm. (a) What is the wavelength of the x rays? (b) What would the wavelength have to be to have three strong interference maxima, with the third at an angle of 88.0°?

In an x-ray diffraction experiment there is only one strong interference maximum, and this occurs when the x-ray beam makes an angle of 36.0° with the crystal planes. The spacing between the crystal planes is 0.158 nm. (a) What is the wavelength of the x rays? (b) What would the wavelength have to be to have three strong interference maxima, with the third at an angle of 88.0°?

Similar questions

A diffraction grating illuminated by monochromatic light normal to the grating produces a certain line at angle u. (a) What is the product of that line’s half-width and the grating’s resolving power? (b) Evaluate that product for the first order of a grating of slit separation 900 nm in light of wavelength 600 nm.
An X-ray beam of wavelength 3.4 × 10-10 m makes an angle of 33° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).
X rays of wavelength 0.0850 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle θ in Fig is 21.5°. What is the spacing between adjacent atomic planes in the crystal?
SS-1 Coherent light of wavelength 675 nm passes through a narrow slit of width 0.0143 mm. The diffraction pattern is projected onto a viewing screen 1.08 m away from the slit. The intensity of the light at the center of the diffraction pattern is 175 W/m². (a) Draw a picture of the of situation descried in this problem. (b) Find the width of the central bright spot on the screen, in centimeters (cm). (c) Find the distance between the center of the diffraction pattern and the m = 4 minimum on the screen, in cm. (d) What is the intensity at a point on the screen 13.5 cm from the central maximum?
In Fig the central diffraction maximum contains exactly seven interference fringes, and in this case d/a = 4. (a) What must the ratio d/a be if the central maximum contains exactly five fringes? (b) In the case considered in part (a), how many fringes are contained within the first diffraction maximum on one side of the central maximum?
Monochromatic coherent light of amplitude E, and angular frequency w passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 0 is I(0) = I (2nd sin e 1+ 2 cos max (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.
(a) How many fringes appear between the first diffraction-envelope minima to either side of the central maximum in a double-slit pattern if λ = 691 nm, d = 0.120 mm, and a = 39.4 μm? (b) What is the ratio of the intensity of the third bright fringe to the intensity of the central fringe? (a) Number i 3 Units No units (b) Number 2.0E-4 Units No units