A surprisingly large number of people in the world don’t believe that astronauts have walked on the Moon. They believe the Moon landing to have been a hoax. One argument they use is that if there are astronaut footprints on the Moon, we should be able to see them using a powerful telescope. The fact that we do not, they say, is evidence that they were never there. The Lunar Reconnaissance Orbiter (LRO) is a NASA robotic spacecraft currently orbiting the Moon. The LRO gets as close as 35 km to the Moon’s surface. The diameter of the camera’s primary mirror is 195 mm. If the camera is sensitive to optical light at a wavelength of 600 nm, show that it would not be able to spatially resolve a foot print of physical length 30 cm when it is 35 km above the Moon’s surface. Tip: You’ll need to calculate the angular size of the footprint, as seen from a height of 35 km. θ = S/D, where S is the physical size of the footprint and D = 35 km, is the angular size of the footprint in radians.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter7: Gravity
Section: Chapter Questions
Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...
icon
Related questions
icon
Concept explainers
Question

A surprisingly large number of people in the world don’t believe that astronauts have
walked on the Moon. They believe the Moon landing to have been a hoax. One argument
they use is that if there are astronaut footprints on the Moon, we should be able to see
them using a powerful telescope. The fact that we do not, they say, is evidence that they
were never there.
The Lunar Reconnaissance Orbiter (LRO) is a NASA robotic spacecraft currently orbiting
the Moon. The LRO gets as close as 35 km to the Moon’s surface. The diameter of
the camera’s primary mirror is 195 mm. If the camera is sensitive to optical light at a
wavelength of 600 nm, show that it would not be able to spatially resolve a foot print of
physical length 30 cm when it is 35 km above the Moon’s surface.
Tip: You’ll need to calculate the angular size of the footprint, as seen from a height of
35 km. θ = S/D, where S is the physical size of the footprint and D = 35 km, is the
angular size of the footprint in radians.

 

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Stellar evolution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
Horizons: Exploring the Universe (MindTap Course …
Horizons: Exploring the Universe (MindTap Course …
Physics
ISBN:
9781305960961
Author:
Michael A. Seeds, Dana Backman
Publisher:
Cengage Learning