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Physics / Fundamentals of Physics 10 / Chapter 36 / Problem 97

Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker

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A spy satellite orbiting at 160 km above Earths surface

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QUESTION:

A spy satellite orbiting at 160 km above Earths surface has a lens with a focal length of 3.6 m and can resolve objects on the ground as small as 30 cm. For example, it can easily measure the size of an aircrafts air intake port.What is the effective diameter of the lens as determined by diffraction consideration alone? Assume l ! 550 nm.

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QUESTION:

A spy satellite orbiting at 160 km above Earths surface has a lens with a focal length of 3.6 m and can resolve objects on the ground as small as 30 cm. For example, it can easily measure the size of an aircrafts air intake port.What is the effective diameter of the lens as determined by diffraction consideration alone? Assume l ! 550 nm.

ANSWER:

Problem 97

A spy satellite orbiting at 160 km above Earth's surface has a lens with a focal length of 3.6 m and can resolve objects on the ground as small as 30 cm. For example, it can easily measure the size of an aircrafts air intake port. What is the effective diameter of the lens as determined by diffraction consideration alone? Assume .

Step by Step Solution

Step 1 of 3

The radius of orbiting satellite is .

The focal length of the lens is .

The least distance of distinct vision is .

The wavelength is .

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