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Identifying Isotopes by Spectra. Different
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Chapter 36 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) and Mastering Physics with Pearson eText & ValuePack Access Card (14th Edition)
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- A parallel X-ray beam is diffracted by sodium chloride. Strong first-order is obtained when the Bragg angle (the angle between the crystal planes and the emerging beam) is 6º 50’. The distance between the planes that are in the reflection position in the crystal is 2,8 Å. 1 angstron = 1 Å = 0,1 nm. a) What is the wavelength of X-rays?arrow_forwardAn electric current through an unknown gas produces several distinct wavelengths of visible light. Consider the first order maxima for the wavelengths 403 nm, 428 nm, 511 nm, and 682 nm of this unknown spectrum, when projected with a diffraction grating of 5,000 lines per centimeter.Randomized Variablesλ1 = 403 nmλ2 = 428 nmλ3 = 511 nmλ4 = 682 nm Part (a) What would the angle (in degrees) be for the 403 nm line? Part (b) What would the angle (in degrees) be for the 428 nm line? Part (c) What would the angle (in degrees) be for the 511 nm line? Part (d) What would the angle (in degrees) be for the 682 nm line? Part (e) Using this grating, what would be the angle (in degrees) of the second-order maximum of the 403 nm line?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 33.30 relative to its surface, using an x-ray source of unknown wavelength. Additionally, when illuminated with a different x-ray, this time of known.wavelength 0.205 nm, a second-order maximum is detected at 22.20. Determine the spacing between the reflecting planes.. Select one: O a. 0.19nm O b. 1.84nm O c. 0.27nm O d. 0.54nmarrow_forward
- The 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_forwardOne leg of a Michelson interferometer contains an evacuated cylinder of length L, =0.30m having glass plates on each end. A gas is slowly leaked into the cylinder until a pressure of 1 atm is reached. If 140 bright fringes pass on the screen when light of wavelength A=440nm is used, what is n, the index of refraction of the gas? State your answer to the nearest 0.000001 ( one part per million).arrow_forwardOne important goal of astronomers is to have a telescope in space that can resolve planets like the earth orbiting other stars. If a planet orbits its star at a distance of 1.5 x 1011 m (the radius of the earth’s orbit around the sun) and the telescope has a mirror of diameter 8.0 m, how far from the telescope could the star and its planet be if the wavelength used was (a) 690 nm and (b) 1400 nm? Use the Rayleigh criterion and give your answers in light-years (1 ly = 9.46 x 1015 m).arrow_forward
- A He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^7 ? is used to calibrate a reflection grating in a spectroscope. The first-order diffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?arrow_forwardFirst-order Bragg diffraction is observed at 23.8° relative to the crystal surface, with spacing between atoms of 0.24 nm. (a) At what angle will second order be observed? (b) What is the wavelength of the X-rays?arrow_forwardA He-Ne gas laser which produces monochromatic light of a known wavelength ? =6.35 ? 10^−7 ? is used to calibrate a reflection grating in a spectroscope. The first-orderdiffraction line is found at an angle of 22 degrees to the incident beam. How many lines per meter are there on the grating?arrow_forward
- Three discrete spectral lines occur at angles of 10.5°, 13.6°, and 14.7°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3770 slits/cm, what are the wavelengths of the light? ?1 = Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. nm (10.5°) ?2 = Your response differs from the correct answer by more than 10%. Double check your calculations. nm (13.6°) ?3 = Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. nm (14.7°) (b) At what angles are these lines found in the second-order spectra? ? = ° (?1) ? = ° (?2) ? = ° (?3)arrow_forwardThe refractive indices for quartz at 762 nm wavelength for left- and right-circularly polarized light are nL= 1.53920 and nR= 1.53914. (a) What thickness of quartz is required to give an optical rotation of 10⁰ at this wavelength? (b) What is the specific rotation of quartz for this wavelength in degree/mm? NOTE, I do not want you to use Chatgpt for the answer. I asked Chatgpt, and every time the answer provided was wrong.arrow_forwardThe width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600. nm, and the screen is 1.9 m from the slit. (a.) What is the width of the slit in microns? (D= ?) (b.) What is the ratio of the intensity at 4.2mm from the center of the pattern to the intensity at the center of the pattern? (I/I0= ?)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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