Explanation 1) Concept: We have the equation for Rayleigh’s criterion. We also have the relation between distance between two points, the length from which we are observing those points, and small angle. We rearrange the equation to find the required answer. 2) Formula: i) θ = D L ii) θ R = 1.22 λ d 3) Given: i) L = 400 k m = 400 × 10 3 m ii) d = 5 m m = 0.005 m iii) λ = 550 n m = 550 × 10 - 9 m 4) Calculation: a) We have θ = D L We can write this as D = θ L But according to Rayleigh’s criterion, θ R = 1.22 λ d D = 1

10th Edition

ISBN: 9781118230718

Author: David Halliday

Publisher: Wiley, John & Sons, Incorporated

See similar textbooks

Concept explainers

Compton effect

The incoming photons' energy must be in the range of an X-ray frequency to generate the Compton effect. The electron does not lose enough energy that reduces the wavelength of scattered photons towards the visible spectrum. As a result, with visible ligh…

Recoil Velocity

The amount of backward thrust or force experienced by a person when he/she shoots a gun in the forward direction is called recoil velocity. This phenomenon always follows the law of conservation of linear momentum.

Question

Chapter 36, Problem 22P

To determine

To find:

a) Smaller liner width on Earth’s surface that the astronaut can resolve

b) Can the astronaut resolve the Great Wall of China?

c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 36, Problem 21P

Chapter 36, Problem 23P

Students have asked these similar questions

Assume that Rayleigh's criterion gives the limit of resolution of an astronaut's eye looking down on Earth's surface from a typical space shuttle altitude of 428 km. (a) Under that idealized assumption, estimate the smallest linear width on Earth's surface that the astronaut can resolve. Take the astronaut's pupil diameter to be 6 mm and the wavelength of visible light to be 540 nm. (b) Can the astronaut resolve the Great Wall of China (the figure below), which is more than 3000 km long, 5 to 10 m thick at its base, 4 m thick at its top, and 8 m in height? (c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth's surface?

Assume that Rayleigh’s criterion gives the limit of resolution of an astronaut’s eye looking down on Earth’s surface from a typical space shuttle altitude of 400 km. (a) Under that idealized assumption, estimate the smallest linear width on Earth’s surface that the astronaut can resolve.Take the astronaut’s pupil diameter to be 5 mm and the wavelength of visible light to be 550 nm. (b) Can the astronaut resolve the Great Wall of China , which is more than 3000 km long, 5 to 10 m thick at its base, 4 m thick at its top, and 8 m in height? (c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?

pls help

Chapter 36 Solutions

Fundamentals of Physics

Ch. 36 - You are conducting a single-slit diffraction...Ch. 36 - In a single-slit diffraction experiment, the top...Ch. 36 - For three experiments, Fig. 36-30 gives the...Ch. 36 - For three experiments, Fig. 36-31 gives versus...Ch. 36 - Figure 36-32 shows four choices for the...Ch. 36 - Prob. 6Q Ch. 36 - At night many people see rings called entoptic...Ch. 36 - a For a given diffraction grating, does the...Ch. 36 - Figure 36-33 shows a red line and a green line of...Ch. 36 - For the situation of Question 9 and Fig. 36-33, if...

Knowledge Booster

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.

a) Smaller liner width on Earth’s surface that the astronaut can resolve b) Can the astronaut resolve the Great Wall of China? c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?

Solution Summary: The author explains the equation for Rayleigh's criterion and the relation between distance between two points, length from which we are observing those points and small angle.

Concept explainers

To find: a) Smaller liner width on Earth’s surface that the astronaut can resolve b) Can the astronaut resolve the Great Wall of China? c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?

Want to see the full answer?

Chapter 36 Solutions

To find:

a) Smaller liner width on Earth’s surface that the astronaut can resolve

b) Can the astronaut resolve the Great Wall of China?

c) Would the astronaut be able to resolve any unmistakable sign of intelligent life on Earth’s surface?