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A Cassegrain astronomical telescope uses two mirrors to
Chapter 27, Problem 99GP(choose chapter or problem)
A Cassegrain astronomical telescope uses two mirrors to form the image. The larger (concave) objective mirror has a focal length \(f_{1}=+50.0 \mathrm{~cm}\). A small convex secondary mirror is mounted \(43.0 \mathrm{~cm}\) in front of the primary. As shown in Figure 27-25, light is reflected from the secondary through a hole in the center of the primary, thereby forming a real image \(8.00 \mathrm{~cm}\) behind the primary mirror. What is the radius of curvature of the secondary mirror?
Equation Transcription:
Text Transcription:
f1=+50.0 cm
43.0 cm
8.00 cm
Questions & Answers
QUESTION:
A Cassegrain astronomical telescope uses two mirrors to form the image. The larger (concave) objective mirror has a focal length \(f_{1}=+50.0 \mathrm{~cm}\). A small convex secondary mirror is mounted \(43.0 \mathrm{~cm}\) in front of the primary. As shown in Figure 27-25, light is reflected from the secondary through a hole in the center of the primary, thereby forming a real image \(8.00 \mathrm{~cm}\) behind the primary mirror. What is the radius of curvature of the secondary mirror?
Equation Transcription:
Text Transcription:
f1=+50.0 cm
43.0 cm
8.00 cm
ANSWER:
Solution 99GP
Step 1 of 5
Here we need to find the radius of curvature of the secondary mirror. The objective mirror focal length is given to be and the small convex mirror is mounted at
from the primary mirror. The real image is formed
from the primary mirror.
In order to calculate the radius of curvature of the secondary mirror, first we need to calculate the image distance from primary mirror and using that we can determine the focal length the secondary mirror. The twice the value of focal length will give the radius of curvature of the secondary mirror.