Concept explainers
Two closely spaced
(b) A square grating 2.00 cm on each side containing 8 000 equally spaced slits is used to analyze the spectrum of mercury. Two closely spaced lines emitted by this element have wavelengths of 579.065 nm and 576.959 nm. What is the angular separation of these two wavelengths in the second-order spectrum?
Want to see the full answer?
Check out a sample textbook solutionChapter 37 Solutions
Physics for Scientists and Engineers with Modern Physics
- Monochromatic X-rays are incident on a crystal. The first-order Bragg peak is observed when the angle of incidence is 34.0°. The crystal spacing is known to be 0.347 nm. What is the wavelength of the X rays?arrow_forwardAn oil drop of volume 0.2 c.c. is dropped on the surface of a tank of water of area 1 sq. meter. The film spreads uniformly over the surface and white light which is incident normally is observed through a spectrometer. The spectrum is seen to contain one dark band whose centre has wavelength 5.5 x 10 cm in air. Find the refractive index of. Moil.arrow_forward(a) In Color Plate 19a, red light with a wavelength of 633 nm strikes a grating at normal incidence ( 0). The grating spacing is d 1.6 m. At what angles are the n –1, n 1, and n 2 diffracted beams expected? (b) Explain why the n 3 diffracted beam is not observed.arrow_forward
- First-order Bragg scattering from a certain crystal occurs at an angle of incidence of 63.8°; see figure below. The wavelength of the x-rays is 0.261nm. Assuming that the scattering is from the dashed planes shown, find the unit cell size ao. 63.8° X raysarrow_forwardWhen a diffraction pattern of a crystalline solid is recorded using an X-ray beam of wavelength 0.26 nm, the first order diffraction peak occurs at a scattering angle of 35°. If the error in the measurements of angle and wayelength are 1° and 0.01 nm respectively, then determine the error in measuring the interplanar spacing. (a) 22.86 nm (b) 32.38 nm (c) 15.2 nm (d) 13.2 nmarrow_forwardIn the figure, first-order reflection from the reflection planes shown occurs when an x-ray beam of wavelength 0.820 nm makes an angle θ = 62.3˚ with the top face of the crystal. What is the unit cell size a0?arrow_forward
- X - rays of wavelength 0.140 nm are reflected from a certain crystal, and the first - order maximum occurs at an angle of 14.4°. What value does this give for the interplanar spacing of the crystal?arrow_forwardAn X-ray beam of a wavelength 0.15 nm is incident on an NaCl crystal, at 25° to reflecting planes of the crystal. If the first order reflections occurred in the spectrum, find the spacing of the reflecting planes of the crystal. (а) 0.18 pm (b) 0.35 nm (c) 0.18 nm (d) 0.35 pmarrow_forwardFor red light of λ = 660 nm , what are f, ω , and k?arrow_forward
- How many modes can exist in a spherical cavity of diameter 4.0 cm if illuminated by light with a central wavelength of 500 nm with a spectral spread of 0.10 nm?arrow_forwardA green LED laser with power P = 5 mW, emits monochromatic radiation with wavelength λλ = 520 nm. What does the word "monochromatic" imply about the properties of this green light laser beam?arrow_forwardThe absorption cross section for fluorescein, a dye that is used as a fluorescent probe for biological imaging (see the Chapter Opener image), is 9.25 × 10-16 cm2 molecule-1 at 500 nm. How much light is transmitted through a 1-cm path length by a standard 10-6 M solution of fluoresceinused to label biological samples?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning