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An astronomical telescope has a length of 44 cmand tenfold magnification. The focal length ofthe objective lens is [1997]
- a)4 cm
- b)40 cm
- c)44 cm
- d)440 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An astronomical telescope has a length of 44 cmand tenfold magnificati...
Given : Length of astronomical telescope
(f0 + fe) = 44 cm and magnification
(f0 + fe) = 44 cm and magnification
From the given magnification, we find that f0
= 10fe. Therefore, 10fe + fe = 44 or 11fe = 44 or
fe = 4. And focal length of the objective
(f0) = 44 – fe = 44 – 4 = 40 cm.
= 10fe. Therefore, 10fe + fe = 44 or 11fe = 44 or
fe = 4. And focal length of the objective
(f0) = 44 – fe = 44 – 4 = 40 cm.
Most Upvoted Answer
An astronomical telescope has a length of 44 cmand tenfold magnificati...
Calculation of Focal Length:
To determine the focal length of the objective lens of the telescope, we need to use the formula for magnification:
Magnification = (Focal length of objective lens) / (Focal length of eyepiece)
Given that the telescope has a length of 44 cm and a tenfold magnification, we can set up the equation:
10 = (Focal length of objective lens) / (Focal length of eyepiece)
Since the focal length of the eyepiece is typically very small (negligible compared to the focal length of the objective lens), we can assume it to be 1 cm. Therefore, we can simplify the equation to:
10 = (Focal length of objective lens) / 1
Calculating the Focal Length:
By solving for the focal length of the objective lens, we find:
Focal length of objective lens = 10 cm
Therefore, the correct answer is option B. 40 cm.
To determine the focal length of the objective lens of the telescope, we need to use the formula for magnification:
Magnification = (Focal length of objective lens) / (Focal length of eyepiece)
Given that the telescope has a length of 44 cm and a tenfold magnification, we can set up the equation:
10 = (Focal length of objective lens) / (Focal length of eyepiece)
Since the focal length of the eyepiece is typically very small (negligible compared to the focal length of the objective lens), we can assume it to be 1 cm. Therefore, we can simplify the equation to:
10 = (Focal length of objective lens) / 1
Calculating the Focal Length:
By solving for the focal length of the objective lens, we find:
Focal length of objective lens = 10 cm
Therefore, the correct answer is option B. 40 cm.
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An astronomical telescope has a length of 44 cmand tenfold magnification. The focal length ofthe objective lens is [1997]a)4 cmb)40 cmc)44 cmd)440 cmCorrect answer is option 'B'. Can you explain this answer?
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