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An astronomical refractive telescope has an objective of focal length 20m and an eyepiece of focal length 2cm.
- a)the magnification is 1000
- b)the length of the telescope tube is 20.02 m
- c)the image formed is inverted
- d)all of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An astronomical refractive telescope has an objective of focal length ...
Here, f0 = 20 m and fe = 2 cm = 0.02m
In normal adjustment,
Length of telescope tube, L = f0 + fe = 20 + 0.02 = 20.02m
and magnification, m = f
The image formed is inverted with respect to the object.
In normal adjustment,
Length of telescope tube, L = f0 + fe = 20 + 0.02 = 20.02m
and magnification, m = f
0
/ fe = 20/0.02 = 1000The image formed is inverted with respect to the object.
Most Upvoted Answer
An astronomical refractive telescope has an objective of focal length ...
Explanation:
An astronomical refractive telescope consists of an objective lens and an eyepiece. The objective lens collects the light from distant objects and forms an image, which is then magnified by the eyepiece for viewing. Let's analyze each given statement to understand why the correct answer is option 'D'.
a) The magnification is 1000:
The magnification of a telescope can be calculated using the formula:
Magnification = (-) (Focal length of the objective lens) / (Focal length of the eyepiece)
Given that the focal length of the objective lens is 20m and the focal length of the eyepiece is 2cm (0.02m), we can calculate the magnification as follows:
Magnification = (-) (20m) / (0.02m) = (-) 1000
The negative sign indicates that the image formed is inverted.
b) The length of the telescope tube is 20.02m:
The length of the telescope tube is equal to the sum of the focal lengths of the objective lens and the eyepiece. Given that the focal length of the objective lens is 20m and the focal length of the eyepiece is 2cm (0.02m), we can calculate the total length as follows:
Length of the telescope tube = (Focal length of the objective lens) + (Focal length of the eyepiece)
= 20m + 0.02m
= 20.02m
Therefore, the length of the telescope tube is indeed 20.02m.
c) The image formed is inverted:
In a refractive telescope, the objective lens forms an inverted image of the distant object. This inverted image is then magnified by the eyepiece for viewing. Therefore, the statement is true.
d) All of these:
By analyzing the explanations above, we can conclude that all the given statements are true. Therefore, the correct answer is option 'D'.
An astronomical refractive telescope consists of an objective lens and an eyepiece. The objective lens collects the light from distant objects and forms an image, which is then magnified by the eyepiece for viewing. Let's analyze each given statement to understand why the correct answer is option 'D'.
a) The magnification is 1000:
The magnification of a telescope can be calculated using the formula:
Magnification = (-) (Focal length of the objective lens) / (Focal length of the eyepiece)
Given that the focal length of the objective lens is 20m and the focal length of the eyepiece is 2cm (0.02m), we can calculate the magnification as follows:
Magnification = (-) (20m) / (0.02m) = (-) 1000
The negative sign indicates that the image formed is inverted.
b) The length of the telescope tube is 20.02m:
The length of the telescope tube is equal to the sum of the focal lengths of the objective lens and the eyepiece. Given that the focal length of the objective lens is 20m and the focal length of the eyepiece is 2cm (0.02m), we can calculate the total length as follows:
Length of the telescope tube = (Focal length of the objective lens) + (Focal length of the eyepiece)
= 20m + 0.02m
= 20.02m
Therefore, the length of the telescope tube is indeed 20.02m.
c) The image formed is inverted:
In a refractive telescope, the objective lens forms an inverted image of the distant object. This inverted image is then magnified by the eyepiece for viewing. Therefore, the statement is true.
d) All of these:
By analyzing the explanations above, we can conclude that all the given statements are true. Therefore, the correct answer is option 'D'.
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An astronomical refractive telescope has an objective of focal length 20m and an eyepiece of focal length 2cm.a)the magnification is 1000b)the length of the telescope tube is 20.02 mc)the image formed is invertedd)all of theseCorrect answer is option 'D'. Can you explain this answer?
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