General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 23, Problem 30E
To determine
The angular separation between both lines emitted by atomic hydrogen in the lamp.
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A transmission diffraction grating with 420 lines/mm is used to study the light intensity of different orders (n). A screen is located 2.8 m from the grating. What are the positions on the screen of the three brightest red lines for a hydrogen source?
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Chapter 23 Solutions
General Physics, 2nd Edition
Ch. 23 - Prob. 1RQCh. 23 - Prob. 2RQCh. 23 - Prob. 3RQCh. 23 - Prob. 4RQCh. 23 - Prob. 5RQCh. 23 - Prob. 6RQCh. 23 - Prob. 7RQCh. 23 - Prob. 8RQCh. 23 - Prob. 9RQCh. 23 - Prob. 10RQ
Ch. 23 - Prob. 11RQCh. 23 - Prob. 12RQCh. 23 - Prob. 1ECh. 23 - Prob. 2ECh. 23 - Prob. 3ECh. 23 - Prob. 4ECh. 23 - Prob. 5ECh. 23 - Prob. 6ECh. 23 - Prob. 7ECh. 23 - Prob. 8ECh. 23 - Prob. 9ECh. 23 - Prob. 10ECh. 23 - Prob. 11ECh. 23 - Prob. 12ECh. 23 - Prob. 13ECh. 23 - Prob. 14ECh. 23 - Prob. 15ECh. 23 - Prob. 16ECh. 23 - Prob. 17ECh. 23 - Prob. 18ECh. 23 - Prob. 19ECh. 23 - Prob. 20ECh. 23 - Prob. 21ECh. 23 - Prob. 22ECh. 23 - Prob. 23ECh. 23 - Prob. 24ECh. 23 - Prob. 25ECh. 23 - Prob. 26ECh. 23 - Prob. 27ECh. 23 - Prob. 28ECh. 23 - Prob. 29ECh. 23 - Prob. 30ECh. 23 - Prob. 31ECh. 23 - Prob. 32ECh. 23 - Prob. 33ECh. 23 - Prob. 34ECh. 23 - Prob. 35ECh. 23 - Prob. 36ECh. 23 - Prob. 37ECh. 23 - Prob. 38ECh. 23 - Prob. 39ECh. 23 - Prob. 40ECh. 23 - Prob. 41ECh. 23 - Prob. 42ECh. 23 - Prob. 43ECh. 23 - Prob. 44ECh. 23 - Prob. 45ECh. 23 - Prob. 46ECh. 23 - Prob. 47ECh. 23 - Prob. 48ECh. 23 - Prob. 49ECh. 23 - Prob. 50ECh. 23 - Prob. 51ECh. 23 - Prob. 52ECh. 23 - Prob. 53ECh. 23 - Prob. 54ECh. 23 - Prob. 55ECh. 23 - Prob. 56ECh. 23 - Prob. 57ECh. 23 - Prob. 58ECh. 23 - Prob. 59ECh. 23 - Prob. 60ECh. 23 - Prob. 61ECh. 23 - Prob. 62ECh. 23 - Prob. 63ECh. 23 - Prob. 64ECh. 23 - Prob. 65ECh. 23 - Prob. 66ECh. 23 - Prob. 67ECh. 23 - Prob. 68ECh. 23 - Prob. 69ECh. 23 - Prob. 70ECh. 23 - Prob. 71ECh. 23 - Prob. 72ECh. 23 - Prob. 73ECh. 23 - Prob. 74ECh. 23 - Prob. 75ECh. 23 - Prob. 76ECh. 23 - Prob. 77ECh. 23 - Prob. 78ECh. 23 - Prob. 79ECh. 23 - Prob. 80E
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- Potassium iodide (Kl) has the same crystalline structure as NaCI, with atomic planes separated by 0.353 nm. A monochromatic x-ray beam slums a first-order diffraction maximum when the grazing angle 7.60. Calculate the x-ray wavelength.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_forwardX-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. What is the spacing between the scattering planes in this crystal?arrow_forward
- A grating with 4000 lines per centimeter is used to diffract light that contains all wavelengths between 400 and 650 nm. How wide is the first-order spectrum on a screen 3.0 m from the grating?arrow_forwardThe first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?arrow_forwardOn 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.arrow_forward
- An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles 24.2°, 25.7°, 29.1°, and 41.0° when projected on a diffraction grating having 10,000 lines per centimeter?arrow_forwardThe 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?arrow_forwardWhat is the maximum number of lines per centimeter a diffraction grating can have and produce a complete firstorder spectrum for visible light?arrow_forward
- Potassium iodide has an interplanar spacing of d = 0.296 nm. A monochromatic X-ray beam shows a first-order diffraction maximum when the grazing angle is 7.4°. Calculate the X-ray wavelength ?.? = answer in nmarrow_forwardThe hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separations between these two spectral lines can be obtained with a diffraction grating that has 4.50 x 103 lines/cm?arrow_forwardLight of wavelength 633 nm is incident on a pair of identical stits of width 0.2mm and center-to-center separation of 2mm. The diffraction pattern is observed on a screen at distance 5m. Calculate the spacing between zeros of intensity (in mm to 2 d.p.); and which is the lowest-numbered peak (counting up from zero at the centre) which has less than half the intensity of the zeroth peak: (Hint: sinc(?/2)=2/?(pi/2)=2/pi). The spacing is: and the number of the peak with less than half central intensity is:arrow_forward
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