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A chemist identifies compounds by identifying bright lines

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus) ISBN: 9780134081496 191

Solution for problem 33.70 Chapter 33

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition

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Problem 33.70

A chemist identifies compounds by identifying bright lines in their spectra. She does so by heating the compounds until they glow, sending the light through a diffraction grating, and measuring the positions of first-order spectral lines on a detector 15.0 cm behind the grating. Unfortunately, she has lost the card that gives the specifications of the grating. Fortunately, she has a known compound that she can use to calibrate the grating. She heats the known compound, which emits light at a wavelength of 461 nm, and observes a spectral line 9.95 cm from the center of the diffraction pattern. What are the wavelengths emitted by compounds A and B that have spectral lines detected at positions 8.55 cm and 12.15 cm, respectively?

Step-by-Step Solution:

Q:A chemist identifies compounds by identifying bright lines in their spectra. She does so byheating the compounds until they glow, sending the light through a diffraction grating, andmeasuring the positions of first-order spectral lines on a detector 15.0 cm behind the grating.Unfortunately, she has lost the card that gives the specifications of the grating. Fortunately, shehas a known compound that she can use to calibrate the grating. She heats the known compound,which emits light at a wavelength of 461 nm, and observes a spectral line 9.95 cm from thecenter of the diffraction pattern. What are the wavelengths emitted by compounds A and B thathave spectral lines detected at positions 8.55 cm and 12.15 cm, respectively Step By Step SolutionStep 1 of 4:Distance from the screen:Wavelength of light from known source:Distance from the central maximum:Formulas used:

Step 2 of 4

Chapter 33, Problem 33.70 is Solved
Step 3 of 4

Textbook: Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36)
Edition: 4
Author: Randall D. Knight (Professor Emeritus)
ISBN: 9780134081496

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A chemist identifies compounds by identifying bright lines