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A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is?
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A terrestrial telescope in normal adjustment has an objective of focal...
Terrestrial Telescope Calculation:
Given:
Focal length of objective lens (f1) = 180 cm
Focal length of eyepiece (f2) = 6 cm
Focal length of erecting lens (f3) = 3.5 cm
To Find:
Length of the telescope
Solution:
Step 1: Calculating the Magnification of the Telescope:
The magnification of the telescope is given by the formula:
Magnification (M) = -f1 / f2
Substituting the given values:
M = -180 cm / 6 cm
M = -30
Since the telescope is in normal adjustment, the magnification is negative, indicating an erect image.
Step 2: Calculating the Distance between the Objective and Eyepiece Lenses:
Using the lens formula:
1 / f1 + 1 / f2 = 1 / f
Where f is the focal length of the combined system of objective and eyepiece lenses.
Substituting the given values:
1 / 180 cm + 1 / 6 cm = 1 / f
Simplifying the equation:
1 / f = (1/180 + 1/6)
1 / f = (1 + 30) / 180
1 / f = 31 / 180
f = 180 / 31 cm
Step 3: Calculating the Total Length of the Telescope:
The total length of the telescope is given by the formula:
Length of telescope = f + f3
Substituting the values:
Length of telescope = (180 / 31) cm + 3.5 cm
Simplifying the equation:
Length of telescope = (180 + 3.5 * 31) / 31 cm
Length of telescope = (180 + 108.5) / 31 cm
Length of telescope = 288.5 / 31 cm
Length of telescope ≈ 9.31 cm
Therefore, the length of the terrestrial telescope is approximately 9.31 cm.
Given:
Focal length of objective lens (f1) = 180 cm
Focal length of eyepiece (f2) = 6 cm
Focal length of erecting lens (f3) = 3.5 cm
To Find:
Length of the telescope
Solution:
Step 1: Calculating the Magnification of the Telescope:
The magnification of the telescope is given by the formula:
Magnification (M) = -f1 / f2
Substituting the given values:
M = -180 cm / 6 cm
M = -30
Since the telescope is in normal adjustment, the magnification is negative, indicating an erect image.
Step 2: Calculating the Distance between the Objective and Eyepiece Lenses:
Using the lens formula:
1 / f1 + 1 / f2 = 1 / f
Where f is the focal length of the combined system of objective and eyepiece lenses.
Substituting the given values:
1 / 180 cm + 1 / 6 cm = 1 / f
Simplifying the equation:
1 / f = (1/180 + 1/6)
1 / f = (1 + 30) / 180
1 / f = 31 / 180
f = 180 / 31 cm
Step 3: Calculating the Total Length of the Telescope:
The total length of the telescope is given by the formula:
Length of telescope = f + f3
Substituting the values:
Length of telescope = (180 / 31) cm + 3.5 cm
Simplifying the equation:
Length of telescope = (180 + 3.5 * 31) / 31 cm
Length of telescope = (180 + 108.5) / 31 cm
Length of telescope = 288.5 / 31 cm
Length of telescope ≈ 9.31 cm
Therefore, the length of the terrestrial telescope is approximately 9.31 cm.
Community Answer
A terrestrial telescope in normal adjustment has an objective of focal...
199cm
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A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is?
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A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is?.
A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A terrestrial telescope in normal adjustment has an objective of focal length 180cm and an eye piece of focal length 6cm. The erecting lens has a focal length 3.5cm. The length of telescope is?.
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