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The focal length of objective lens of an astronomical telescope is 1 m. If magnifying power of telescope is 20, then what is length of telescope for relaxed eye?
- a)85 cm
- b)95 cm
- c)105 cm
- d)115 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The focal length of objective lens of an astronomical telescope is 1 m...
For relaxed eye → m = fo/fe
or 20 = 100/fe
or fe = 5 cm
The length of the telescope for relaxed eye is
L = fo + ue = 100 + 5 = 105 cm
or 20 = 100/fe
or fe = 5 cm
The length of the telescope for relaxed eye is
L = fo + ue = 100 + 5 = 105 cm
Most Upvoted Answer
The focal length of objective lens of an astronomical telescope is 1 m...
Given:
Focal length of objective lens, f = 1 m
Magnifying power of telescope, M = 20
To find: Length of telescope for relaxed eye
Formula used:
Magnifying power of telescope, M = (focal length of objective lens / focal length of eyepiece) + 1
Calculation:
Let the focal length of eyepiece be e.
Given, M = 20
f = 1 m
Using the formula,
M = (f/e) + 1
20 = (1/e) + 1
19 = 1/e
e = 1/19 m
Total length of telescope, L = f + e
L = 1 + (1/19)
L = 20/19 m
Converting to cm,
L = (20/19) × 100 cm
L = 105.26 cm ≈ 105 cm
Therefore, the length of the telescope for a relaxed eye is 105 cm, which is option (c).
Focal length of objective lens, f = 1 m
Magnifying power of telescope, M = 20
To find: Length of telescope for relaxed eye
Formula used:
Magnifying power of telescope, M = (focal length of objective lens / focal length of eyepiece) + 1
Calculation:
Let the focal length of eyepiece be e.
Given, M = 20
f = 1 m
Using the formula,
M = (f/e) + 1
20 = (1/e) + 1
19 = 1/e
e = 1/19 m
Total length of telescope, L = f + e
L = 1 + (1/19)
L = 20/19 m
Converting to cm,
L = (20/19) × 100 cm
L = 105.26 cm ≈ 105 cm
Therefore, the length of the telescope for a relaxed eye is 105 cm, which is option (c).
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Community Answer
The focal length of objective lens of an astronomical telescope is 1 m...
105 cm
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The focal length of objective lens of an astronomical telescope is 1 m. If magnifying power of telescope is 20, then what is length of telescope for relaxed eye?a)85 cmb)95 cmc)105 cmd)115 cmCorrect answer is option 'C'. Can you explain this answer?
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