the spacing bétween the minima and m asurement of distance on the object, whic ement device that does not require placin ne beam of the laser passes through two s ZAG laser, the laser can be switched to nu
the spacing bétween the minima and m asurement of distance on the object, whic ement device that does not require placin ne beam of the laser passes through two s ZAG laser, the laser can be switched to nu
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F854844bf-0774-47f7-8e27-c9b3fc8a4a1a%2F99a8a6e4-7d06-4e38-8765-d2bd17df8b8a%2Fqyhcol_processed.png&w=3840&q=75)
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
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 2.155 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F854844bf-0774-47f7-8e27-c9b3fc8a4a1a%2F99a8a6e4-7d06-4e38-8765-d2bd17df8b8a%2F4wkbpda_processed.png&w=3840&q=75)
Transcribed Image Text: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 2.155 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
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