The Moon has an angular size of 0.50^∘ when viewed with unaided vision from Earth. Suppose the M

Name: Problem 77, Chapter 27: Physics
Uploaded: 2020-03-05T23:28:17-08:00
Duration: 2 min 10 s
Channel: Nathan Silvano
Description: The Moon has an angular size of 0.50^∘ when viewed with unaided vision from Earth. Suppose the Moon is viewed through a telescope with an objective whose focal length is 68 cm and an eyepiece whose focal length is 17 mm . What is the angular size of the Moon as seen through this telescope?

step 1 Okay, so in this problem we have the moon view from an angular size of 0 .5. We have theta goes

Question

The Moon has an angular size of $0.50^{\circ}$ when viewed with unaided vision from Earth. Suppose the Moon is viewed through a telescope with an objective whose focal length is 68 $\mathrm{cm}$ and an eyepiece whose focal length is 17 $\mathrm{mm} .$ What is the angular size of the Moon as seen through this telescope?

   The Moon has an angular size of $0.50^{\circ}$ when viewed with
unaided vision from Earth. Suppose the Moon is viewed through
a telescope with an objective whose focal length is 68 $\mathrm{cm}$ and an
eyepiece whose focal length is 17 $\mathrm{mm} .$ What is the angular size of
the Moon as seen through this telescope?

Physics

James S. Walker 5th Edition

Chapter 27, Problem 77

Instant Answer

Solved by Expert Nathan Silvano

03/05/2020

Step 1

The magnification is given by the ratio of the focal length of the objective to the focal length of the eyepiece. In mathematical terms, this can be written as: \[ M = \frac{f_{\text{objective}}}{f_{\text{eyepiece}}} \] where $ M $ is the magnification, \( Show more…

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The Moon has an angular size of $0.50^{\circ}$ when viewed with unaided vision from Earth. Suppose the Moon is viewed through a telescope with an objective whose focal length is 68 $\mathrm{cm}$ and an eyepiece whose focal length is 17 $\mathrm{mm} .$ What is the angular size of the Moon as seen through this telescope?

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Key Concepts

Focal Length

Focal length is a property of lenses and optical instruments that describes the distance over which parallel rays of light are brought to a focus. In telescopes, the focal lengths of the objective and eyepiece determine the magnification, field of view, and resolution of the instrument.

Telescope Magnification

Telescope magnification is the factor by which a telescope enlarges the appearance of an object compared to the naked eye. It is determined by the ratio of the focal length of the objective lens to the focal length of the eyepiece, and directly scales the perceived angular size of the object.

Angular Size

Angular size refers to the apparent size of an object in the sky, measured as the angle that the object occupies at the observer's eye. It is fundamental in astronomy for comparing the sizes and distances of celestial bodies, and it is typically expressed in degrees, arcminutes, or arcseconds.

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