•48 A high-powered laser beam (A = 600 nm) with a beam diam-eter of 12 cm is aimed at the Moon, 3.8 x 10° km distant. The beamspreads only because of diffraction. The angular location of theedge of the central diffraction disk (see Eq. 36-12) is given by1.22Asin 0where d is the diameter of the beam aperture. What is the diameterof the central diffraction disk on the Moon's surface?

Basic Details The diameter of the spot on the moon depends on the distance from the moon and the…

Answered: •48 A high-powered laser beam (A = 600…

University Physics Volume 3

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Chapter4: Diffraction

Section: Chapter Questions

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

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As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.
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?
An X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.440 nm. Using an X-ray source of wavelength 0.548 nm, what is the angle (with respect to the planes in question) at which the experimenter needs to illuminate the crystal in order to observe a first-order maximum?
On a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.
Quasars, or quasi-stellar radio sources, are astronomical objects discovered in 1960. They are distant but strong emitters of radio waves with angular size so small, they were originally unresolved, the same as stars. The quasar 3C405 is actually two discrete radio sources that subtend an angle of 82 arcsec. If this object is studied using radio emissions at a frequency of 410 MHz, what is the minimum diameter of a radio telescope that can resolve the two sources?
The distance between atoms in a molecule is about 10-8 cm . Can visible light be used to “see” molecules?
1. The electric field of a light wave propagating in a medium of re fracti ve E = 10N/C cos(1015t+ 5.10€y)i index be expresse d a s сan Determine the following: propagation constant, period, velocity in the medium, refractive index of the medium and magnetic field associated with this electric field. 2a.(i) A photon of wavelength 1.06µm is combined with a photon of wavelength 0.85µm to create a new photon whose energy is the sum of energies of these two photons. What is the wavelength of the new photon? (ii)How many photons are emitting from the laser diode in 5 minutes if its power is 1mW? 2b. A 1.55-um digital communication system operating at 1 Gb/s receives an average power of –40 dBm at the detector. Assuming that 1 and 0 bits are equally likely to occur, calculate the number of photons received within each 1 bit.
A beam of x-ray is diffracted by a crystal. If the glancing angle is 8for second order and the separation between two atomic planes is 2.25 x 10^-10 m,calculate the wavelength of the incident X-ray.
X-rays of wavelength 0.150 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 15.6°. What value does this give for the interplanar spacing of the crystal? nm Need Help? Read It
Two narrow SIIts sepevated by 0.42 mm are IllUminated by mon0- chromattclight ot wavelength 00 407nm. Huw many brignt Vinger Can he seen on a Screen I,9cm wide Placed 18m in tron1 OF the sl1ts?
X-rays of wavelength 0.200 nm are reflected from a certain crystal, and the first-order maximum occurs at an angle of 14.6°. What value does this give for the interplanar spacing of the crystal? answer in nm
Atomic sodium produces two prominent spectral lines at 588.995 nm and 589.592 nm. Find the angular separation between these lines when observed in third order using a spectrometer with 2100 lines per cm. Include proper units.

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