Concept explainers
A miniature spectrometer used for chemical analysis has a diffraction grating with 800 slits/mm set 25.0 mm in front of the detector “screen.” The detector can barely distinguish two bright lines that are 30 pm apart in the first-order spectrum. What is the resolution of the spectrometer at a wavelength of 600 nm? That is, if two distinct wavelengths can barely be distinguished, one of them being 600.0 nm, what is the wavelength difference ∆λ between the two?
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
College Physics: A Strategic Approach (3rd Edition)
Additional Science Textbook Solutions
Introduction to Electrodynamics
Essential University Physics (3rd Edition)
Applied Physics (11th Edition)
University Physics (14th Edition)
Lecture- Tutorials for Introductory Astronomy
Sears And Zemansky's University Physics With Modern Physics
- Radio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.arrow_forwardTwo slits each of width 1800 nm and separated by the center-to-center distance of 1200 nm are illuminated by plane waves from a krypton ion laser-emitting at wavelength 461.9 nm. Find the number of interference peaks in the central diffraction peak.arrow_forwardAs 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.arrow_forward
- Table P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forwardA hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?arrow_forwardA diffraction grating is used to view the spectrum of light from a helium discharge tube. The 3 brightest lines are red, yellow and blue in colour. In this spectrometer, the distance between the grating and the slit is 30.0 cm and the slit spacing in the grating is 1870 nm. Calculate the wavelength of spectral line C. What is the highest order of spectral line C that can be seen?arrow_forward
- Red light of wavelength of 635nm is used in a diffraction grating experiment. The first bright fringe was formed at y1= 70 cm from the zeroth order on a screen that is located at L= 2m away from the diffraction grating. What is the spacing distance (d) in meters of this diffraction grating?arrow_forwardProblem 2. A) A Michelson interferometer uses light of wavelength 500 nm. The irradiance of the beam exiting the laser is IL. What are the possible differences in the lengths of the arms of the interferometer when the irradiance at the detector is IL/3? B) Young's Double slit experiment is performed with HeNe laser wavelength 632.8 nm. The screen is 2 m from the slits and the slit separation is 0.2 mm. Find the distance of the 3th bright fringe from the center of the interference pattern on the screen (call the central bright fringe the "Oth" fringe).arrow_forwardThree discrete spectral lines occur at angles of 10.3°, 13.6°, and 14.5°, respectively, in the first-order spectrum of a diffraction grating spectrometer. (a) If the grating has 3720 slits/cm, what are the wavelengths of the light? 2, = 486.4 v nm (10.3°) 647.3 x nm (13.6°) 13 = nm (14.5°) (b) At what angles are these lines found in the second-order spectra? e = 4 ° (2) J•(23)arrow_forward
- Two point sources of light are separated by 5.5 cm a. As viewed through a 13 μmμm diameter pinhole, what is the maximum distance from which they can be resolved if red light ( λλ = 690 nmnm) is used? b. If violet light ( λλ = 420 nmnm ) is used?arrow_forwardProblem 17: Suppose a 1.8 μm wide slit produces its first minimum for 410 nm violet light.Randomized Variablesλv = 410 nmλv = 410 nmλr = 750 nmw = 1.8 μm Part (a) Calculate the angle at which this occurs for violet light in degrees.Numeric : A numeric value is expected and not an expression.θv = __________________________________________Part (b) Where is the first minimum (in degrees) for 750 nm red light?Numeric : A numeric value is expected and not an expression.θr = __________________________________________arrow_forwardProblem 20: Consider 642 nm light falling on a single slit of width 19.5 μm.Randomized Variablesλ = 642 nmw = 19.5 μm Part (a) Find the angle, in degrees, of the third diffraction minimum for the light.Numeric : A numeric value is expected and not an expression.θ3 = __________________________________________Part (b) What slit width (in micrometers) would place this minimum at 85.0°?Numeric : A numeric value is expected and not an expression.w' = __________________________________________arrow_forward
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning