Resolving Power of Telescope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resolving Power = Aperture of Objective/(1.22*Wavelength)
RP = a/(1.22*λ)
This formula uses 3 Variables
Variables Used
Resolving Power - The resolving power of an objective lens is measured by its ability to differentiate two lines or points in an object.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Aperture of Objective: 3.5 --> No Conversion Required
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RP = a/(1.22*λ) --> 3.5/(1.22*2.1E-09)
Evaluating ... ...
RP = 1366120218.57923
STEP 3: Convert Result to Output's Unit
1366120218.57923 --> No Conversion Required
FINAL ANSWER
1366120218.57923 1.4E+9 <-- Resolving Power
(Calculation completed in 00.004 seconds)

Credits

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 Power of Telescope Formula

Resolving Power = Aperture of Objective/(1.22*Wavelength)
RP = a/(1.22*λ)

How is resolving power of a telescope calculated ?

In telescopes, very close objects such as binary stars or individual stars of galaxies subtend very small angles on the telescope. To resolve them we need very large apertures. We can use Rayleigh’s to determine the resolving power. R.P. = a / 1.22λ 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 Power of Telescope?

Resolving Power of Telescope calculator uses Resolving Power = Aperture of Objective/(1.22*Wavelength) to calculate the Resolving Power, Resolving power of telescope is the inverse of the smallest angular separations between two distant objects, whose images are separated in the telescope. Resolving Power is denoted by RP symbol.

How to calculate Resolving Power of Telescope using this online calculator? To use this online calculator for Resolving Power of Telescope, enter Aperture of Objective (a) & Wavelength (λ) and hit the calculate button. Here is how the Resolving Power of Telescope calculation can be explained with given input values -> 1.4E+9 = 3.5/(1.22*2.1E-09).

FAQ

What is Resolving Power of Telescope?
Resolving power of telescope is the inverse of the smallest angular separations between two distant objects, whose images are separated in the telescope and is represented as RP = a/(1.22*λ) or Resolving Power = Aperture of Objective/(1.22*Wavelength). 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 & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
How to calculate Resolving Power of Telescope?
Resolving power of telescope is the inverse of the smallest angular separations between two distant objects, whose images are separated in the telescope is calculated using Resolving Power = Aperture of Objective/(1.22*Wavelength). To calculate Resolving Power of Telescope, you need Aperture of Objective (a) & Wavelength (λ). With our tool, you need to enter the respective value for Aperture of Objective & Wavelength 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 Power?
In this formula, Resolving Power uses Aperture of Objective & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength
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