   Chapter 27, Problem 68PE

Chapter
Section
Textbook Problem

Unreasonable ResultsAn amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter.(a) What diameter mirror is needed to be able to see 1.00 m detail on a Jovian Moon at a distance of 7.50 × 10 8 km from Earth? The wavelength of light averages 600 nm.(b) What is unreasonable about this result?(c) Which assumptions are unreasonable or inconsistent?

To determine

(a)

What diameter mirror is required

Explanation

Given:

Wavelength =λ=600 nm = 600 × 109 m

Width of the detail =d=1 m

Diameter of the mirror =D= ?

Distance from earth =x=7.5×108 km = 7.5×1011 m

Formula Used:

According to Rayleigh's criterion

xd=(1.22)λD

Calculation:

According to Rayleigh's criterion

xd=(1.22)λD

Inserting the values

7

To determine

(b)

What is unreasonable about the result in part (a)

To determine

(c)

Which assumption is unreasonable or inconsistent

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 