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A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Mount Wilson telescope, producing a 2.54 m diameter beam of 643 nm light, what is the minimum angular spread of the beam? minimum angular spread: 3.08 ×10?? rad Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84 × 10? m? size of spot on the Moon: 121.13 m Question Credit: OpenStax College Physics

          A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Mount Wilson telescope, producing a 2.54 m diameter beam of 643 nm light, what is the minimum angular spread of the beam?
minimum angular spread: 3.08 ×10?? rad
Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84 × 10? m?
size of spot on the Moon: 121.13 m
Question Credit: OpenStax College Physics
        
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A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Mount Wilson telescope, producing a 2.54 m diameter beam of 643 nm light, what is the minimum angular spread of the beam?
minimum angular spread: 3.08 ×10?? rad
Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84 × 10? m?
size of spot on the Moon: 121.13 m
Question Credit: OpenStax College Physics

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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A telescope can be used to enlarge the diameter of a laser beam and limit diffraction spreading. The laser beam is sent through the telescope in opposite the normal direction and can then be projected onto a satellite or the Moon. If this is done with the Mount Wilson telescope, producing a 2.54 m diameter beam of 643 nm light, what is the minimum angular spread of the beam? minimum angular spread: 3.08 ×10⁻⁷ rad Neglecting atmospheric effects, what is the size of the spot this beam would make on the Moon, assuming a lunar distance of 3.84 × 10⁸ m? size of spot on the Moon: 121.13 m
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Transcript

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00:01 All right, so let's say we have a telescope that has a diameter, or the beam anyway, that's being broadcast across the telescope, has a diameter of 2 .544 meters, and it's using a wavelength of 643 nanometers.
00:15 So we want to know what's the resolution of this beam, or the minimum angular spread of the beam.
00:21 So this should be 1 .22 times lambda over d.
00:24 So 1 .22 times 6 .4 .3 times 10 to the negative 7th over 2 .5 .4.
00:34 And this will be in radiance times 1 .22.
00:40 So this should come out to about 3 .09 times 10 to the negative 7 radiance.
00:48 And then we want to know what size of the spot would this beam make on the moon, assuming that the moon is a distance...
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