Resolving Limit of Telescope Calculator

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✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+10% -10%
✖Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.ⓘ Aperture of Objective [a]			+10% -10%

✖Resolving Limit is the minimum distance between two lines at which they are just distinct.ⓘ Resolving Limit of Telescope [RL]

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Formula

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Resolving Limit of Telescope

Formula

`"RL" = 1.22*"λ"/"a"`

Example

`"7.3E^-10"=1.22*"2.1nm"/"3.5"`

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Resolving Limit of Telescope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resolving Limit = 1.22*Wavelength/Aperture of Objective
RL = 1.22*λ/a
This formula uses 3 Variables

Variables Used

Resolving Limit - Resolving Limit is the minimum distance between two lines at which they are just distinct.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Aperture of Objective - Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.

STEP 1: Convert Input(s) to Base Unit

Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
Aperture of Objective: 3.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

RL = 1.22*λ/a --> 1.22*2.1E-09/3.5

Evaluating ... ...

RL = 7.32E-10

STEP 3: Convert Result to Output's Unit

7.32E-10 --> No Conversion Required

FINAL ANSWER

7.32E-10 ≈ 7.3E-10 <-- Resolving Limit

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< 4 Resolving Limit Calculators

Resolving Limit of Microscope

Go Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta))

Resolving Power of Microscope

Go Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength

Resolving Power of Telescope

Go Resolving Power = Aperture of Objective/(1.22*Wavelength)

Resolving Limit of Telescope

Go Resolving Limit = 1.22*Wavelength/Aperture of Objective

Resolving Limit of Telescope Formula

Resolving Limit = 1.22*Wavelength/Aperture of Objective
RL = 1.22*λ/a

How is resolving power of a telescope calculated ?

The smallest angular separations (dθ) between two distant objects, whose images are separated in a telescope is called the resolving limit. dθ = 1.22λ / a where a is the aperture of the objective and λ is the wavelength of the light used to illuminate the object.

How to Calculate Resolving Limit of Telescope?

Resolving Limit of Telescope calculator uses Resolving Limit = 1.22*Wavelength/Aperture of Objective to calculate the Resolving Limit, Resolving limit of telescope is the smallest angular separations between two distant objects, whose images are separated in the telescope. Resolving Limit is denoted by RL symbol.

How to calculate Resolving Limit of Telescope using this online calculator? To use this online calculator for Resolving Limit of Telescope, enter Wavelength (λ) & Aperture of Objective (a) and hit the calculate button. Here is how the Resolving Limit of Telescope calculation can be explained with given input values -> 7.3E-10 = 1.22*2.1E-09/3.5.

FAQ

What is Resolving Limit of Telescope?

Resolving limit of telescope is the smallest angular separations between two distant objects, whose images are separated in the telescope and is represented as RL = 1.22*λ/a or Resolving Limit = 1.22*Wavelength/Aperture of Objective. Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire & Aperture of Objective is the measure of its ability to gather light and to resolve fine specimen detail while working at a fixed object distance.

How to calculate Resolving Limit of Telescope?

Resolving limit of telescope is the smallest angular separations between two distant objects, whose images are separated in the telescope is calculated using Resolving Limit = 1.22*Wavelength/Aperture of Objective. To calculate Resolving Limit of Telescope, you need Wavelength (λ) & Aperture of Objective (a). With our tool, you need to enter the respective value for Wavelength & Aperture of Objective 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 Resolving Limit?

In this formula, Resolving Limit uses Wavelength & Aperture of Objective. We can use 1 other way(s) to calculate the same, which is/are as follows -

Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta))

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