Length of Terrestrial Telescope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece)
Ltelescope = fo+4*f+(D*fe)/(D+fe)
This formula uses 5 Variables
Variables Used
Length of Telescope - (Measured in Meter) - The length of Telescope is the distance between the objective lens and the eyepiece.
Focal Length of Objective - (Measured in Meter) - The Focal Length of Objective is the focal length of the lens in front known as the objective lens uses to focus an image.
Focal Length of Erecting lens - (Measured in Meter) - The Focal Length of Erecting lens is placed between the objective and eyepiece lenses of an astronomical telescope.
Least Distance of Distinct Vision - (Measured in Meter) - The Least Distance of Distinct Vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something.
Focal Length of Eyepiece - (Measured in Meter) - The Focal Length of Eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.
STEP 1: Convert Input(s) to Base Unit
Focal Length of Objective: 100 Centimeter --> 1 Meter (Check conversion here)
Focal Length of Erecting lens: 2.5 Centimeter --> 0.025 Meter (Check conversion here)
Least Distance of Distinct Vision: 25 Centimeter --> 0.25 Meter (Check conversion here)
Focal Length of Eyepiece: 4 Centimeter --> 0.04 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ltelescope = fo+4*f+(D*fe)/(D+fe) --> 1+4*0.025+(0.25*0.04)/(0.25+0.04)
Evaluating ... ...
Ltelescope = 1.13448275862069
STEP 3: Convert Result to Output's Unit
1.13448275862069 Meter -->113.448275862069 Centimeter (Check conversion here)
FINAL ANSWER
113.448275862069 113.4483 Centimeter <-- Length of Telescope
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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4 Terrestrial Telescope Calculators

Length of Terrestrial Telescope
Go Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece)
Magnifying Power of Terrestrial Telescope when Image Forms at Least Distance of Distinct Vision
Go Magnifying Power = (1+Focal Length of Eyepiece/Least Distance of Distinct Vision)*Focal Length of Objective/Focal Length of Eyepiece
Length of Terrestrial Telescope when Image Forms at Infinity
Go Length of Telescope = Focal Length of Objective+Focal Length of Eyepiece+4*Focal Length of Erecting lens
Magnifying Power of Terrestrial Telescope when Image Forms at Infinity
Go Magnifying Power = Focal Length of Objective/Focal Length of Eyepiece

Length of Terrestrial Telescope Formula

Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece)
Ltelescope = fo+4*f+(D*fe)/(D+fe)

Explain the working of a terrestrial telescope.

Suppose we take objects like stars. Then this object is at infinity and therefore it is real but inverted and diminished. This is acted as an object to the eyepiece. When this object image is fell within the focal length of the other convex lens by adjusting the eyepiece. On the same side of forming the object image, the virtual image of the object image is also viewed through the eyepiece.

What are the uses of a terrestrial telescope ?

Terrestrial telescopes are most commonly used for high magnification viewing over long distances in daylight. Image quality at different magnifications will depend on the optical system, the quality of glass used and the coatings applied to the surfaces of each lens.

How to Calculate Length of Terrestrial Telescope?

Length of Terrestrial Telescope calculator uses Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece) to calculate the Length of Telescope, The Length of Terrestrial Telescope when Image Forms at Least Distance of Distinct Vision is the sum of the focal length of the objective lens, the focal length of the eye-piece lens, and the focal length of the lens placed between the objective and eye-piece. Length of Telescope is denoted by Ltelescope symbol.

How to calculate Length of Terrestrial Telescope using this online calculator? To use this online calculator for Length of Terrestrial Telescope, enter Focal Length of Objective (fo), Focal Length of Erecting lens (f), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (fe) and hit the calculate button. Here is how the Length of Terrestrial Telescope calculation can be explained with given input values -> 11344.83 = 1+4*0.025+(0.25*0.04)/(0.25+0.04).

FAQ

What is Length of Terrestrial Telescope?
The Length of Terrestrial Telescope when Image Forms at Least Distance of Distinct Vision is the sum of the focal length of the objective lens, the focal length of the eye-piece lens, and the focal length of the lens placed between the objective and eye-piece and is represented as Ltelescope = fo+4*f+(D*fe)/(D+fe) or Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece). The Focal Length of Objective is the focal length of the lens in front known as the objective lens uses to focus an image, The Focal Length of Erecting lens is placed between the objective and eyepiece lenses of an astronomical telescope, The Least Distance of Distinct Vision (LDDV) is the closest someone with "normal" vision (20/20 vision) can comfortably look at something & The Focal Length of Eyepiece is the distance from the principal plane of the eyepiece where parallel rays of light converge to a single point.
How to calculate Length of Terrestrial Telescope?
The Length of Terrestrial Telescope when Image Forms at Least Distance of Distinct Vision is the sum of the focal length of the objective lens, the focal length of the eye-piece lens, and the focal length of the lens placed between the objective and eye-piece is calculated using Length of Telescope = Focal Length of Objective+4*Focal Length of Erecting lens+(Least Distance of Distinct Vision*Focal Length of Eyepiece)/(Least Distance of Distinct Vision+Focal Length of Eyepiece). To calculate Length of Terrestrial Telescope, you need Focal Length of Objective (fo), Focal Length of Erecting lens (f), Least Distance of Distinct Vision (D) & Focal Length of Eyepiece (fe). With our tool, you need to enter the respective value for Focal Length of Objective, Focal Length of Erecting lens, Least Distance of Distinct Vision & Focal Length of Eyepiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Length of Telescope?
In this formula, Length of Telescope uses Focal Length of Objective, Focal Length of Erecting lens, Least Distance of Distinct Vision & Focal Length of Eyepiece. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Telescope = Focal Length of Objective+Focal Length of Eyepiece+4*Focal Length of Erecting lens
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