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Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Laser Id Object The device is used to shine a beam on an object located nearby. The interference pattern is obsrved with a suitable infrared camera. After switching from a 1064 nm to a 1113 nm beam, the device must move 5.155 cm closer to the object in order to align the same order maxima and minima with their original locations on the object. How far Lo was the laser originally from the object? Assume the small-angle approximation applies, and enter the answer in units of meters. Lo =

Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Laser Id Object The device is used to shine a beam on an object located nearby. The interference pattern is obsrved with a suitable infrared camera. After switching from a 1064 nm to a 1113 nm beam, the device must move 5.155 cm closer to the object in order to align the same order maxima and minima with their original locations on the object. How far Lo was the laser originally from the object? Assume the small-angle approximation applies, and enter the answer in units of meters. Lo =

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Id Object Laser The device is used to shine a beam on an object located nearby. The interference pattern is obsrved with a suitable infrared camera. After switching from a 1064 nm to a 1113 nm beam, the device must move 5.155 cm closer to the object in order to align the same order maxima and minima with their original locations on the object. How far Lo was the laser originally from the object? Assume the small-angle approximation applies, and enter the answer in units of meters. Lo = m
Transcribed Image Text:Measuring distance with high precision is a critical goal in engineering. Numerous devices exist to perform such measurements, with many involving laser light. Shining light through a double slit can be used to measure distance if (1) both the wavelength of the light beam and the distance between slits are known and (2) the spacing between the minima and maxima appearing on the screen can be measured. But this method requires a physical measurement of distance on the object, which may not be practical. To create a laser-based measurement device that does not require placing a physical ruler on the object, a Nd:YAG laser is mounted inside a box so that the beam of the laser passes through two slits rigidly attached to the laser. Although 1064 nm is the principal wavelength of a Nd:YAG laser, the laser can be switched to numerous secondary wavelengths, including 1052 nm, 1075 nm, 1113 nm, and 1319 nm. Lo Id Object Laser The device is used to shine a beam on an object located nearby. The interference pattern is obsrved with a suitable infrared camera. After switching from a 1064 nm to a 1113 nm beam, the device must move 5.155 cm closer to the object in order to align the same order maxima and minima with their original locations on the object. How far Lo was the laser originally from the object? Assume the small-angle approximation applies, and enter the answer in units of meters. Lo = m
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