Ambiguity • Natural language is highly ambiguous and must be disambiguated. — I saw the man on the hill with a telescope. — I saw an aero plane flying. — Time flies like an arrow. Q) Which image belongs to the first sentence "I saw the man on the hill with telescope"?
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Step 1: The sentence "I saw the man on the hill with a telescope" implies that the man is using the telescope to see something. Show more…
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The telescopes on some commercial surveillance satellites can resolve objects on the ground as small as 85 $\mathrm{cm}$ across (see Google Earth), and the telescopes on military surveillance satellites reportedly can resolve objects as small as 10 $\mathrm{cm}$ across. Assume first that object resolution is determined entirely by Rayleigh's criterion and is not degraded by turbulence in the atmosphere. Also assume that the satellites are at a typical altitude of 400 $\mathrm{km}$ and that the wavelength of visible light is 550 $\mathrm{nm}$ . What would be the required diameter of the telescope aperture for (a) 85 cm resolution and (b) 10 $\mathrm{cm}$ resolution? (c) Now, considering that turbulence is certain to degrade resolution and that the aperture diameter of the Hubble Space Telescope is $2.4 \mathrm{m},$ what can you say about the answer to (b) and about how the military surveillance resolutions are accomplished?
The telescopes on some commercial surveillance satellites can resolve objects on the ground as small as $85 \mathrm{~cm}$ across (see Google Earth), and the telescopes on military surveillance satellites reportedly can resolve objects as small as $10 \mathrm{~cm}$ across. Assume first that object resolution is determined entirely by Rayleigh's criterion and is not degraded by turbulence in the atmosphere. Also assume that the satellites are at a typical altitude of $420 \mathrm{~km}$ and that the wavelength of visible light is $550 \mathrm{~nm}$. What would be the required diameter of the telescope aperture for (a) $85 \mathrm{~cm}$ resolution and (b) $10 \mathrm{~cm}$ resolution? (c) Now, considering that turbulence is certain to degrade resolution and that the aperture diameter of the Hubble Space Telescope is $2.4 \mathrm{~m}$, what can you say about the answer to (b) and about how the military surveillance resolutions are accomplished?
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