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 - Resolving Power is the ability of a microscope or telescope to distinguish between two closely spaced objects as separate entities.
Aperture of Objective - Aperture of Objective is the diameter of the objective lens that determines the amount of light that enters the microscope or telescope.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a light wave, used in microscopes and telescopes to observe microscopic and celestial objects.
STEP 1: Convert Input(s) to Base Unit
Aperture of Objective: 3.3 --> No Conversion Required
Wavelength: 2.1 Meter --> 2.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RP = a/(1.22*λ) --> 3.3/(1.22*2.1)
Evaluating ... ...
RP = 1.28805620608899
STEP 3: Convert Result to Output's Unit
1.28805620608899 --> No Conversion Required
FINAL ANSWER
1.28805620608899 1.288056 <-- Resolving Power
(Calculation completed in 00.004 seconds)

Credits

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Created by Payal Priya
Birsa Institute of Technology (BIT), Sindri
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Resolving Limit Calculators

Resolving Power of Microscope
​ LaTeX ​ Go Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength
Resolving Limit of Microscope
​ LaTeX ​ Go Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta))
Resolving Power of Telescope
​ LaTeX ​ Go Resolving Power = Aperture of Objective/(1.22*Wavelength)
Resolving Limit of Telescope
​ LaTeX ​ Go Resolving Limit = 1.22*Wavelength/Aperture of Objective

Resolving Power of Telescope Formula

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

How is Resolving Power of a Telescope calculated ?

The resolving power of a telescope is calculated based on the wavelength of light being observed and the diameter of the telescope's aperture. Specifically, it measures the smallest angular separation between two distinct points that can be distinguished as separate images. A larger aperture allows the telescope to gather more light and reduce the effects of diffraction, improving its ability to resolve fine details. Additionally, shorter wavelengths of light enhance resolving power. Therefore, telescopes designed with larger apertures and capable of observing shorter wavelengths will generally have greater resolving power, allowing astronomers to see clearer and more detailed images of celestial objects.

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 formula is defined as a measure of the ability of a telescope to distinguish between two close objects, providing a clear and distinct image of the objects being observed, and is dependent on the wavelength of light and the diameter of the telescope's aperture. 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 -> 1.288056 = 3.3/(1.22*2.1).

FAQ

What is Resolving Power of Telescope?
Resolving Power of Telescope formula is defined as a measure of the ability of a telescope to distinguish between two close objects, providing a clear and distinct image of the objects being observed, and is dependent on the wavelength of light and the diameter of the telescope's aperture and is represented as RP = a/(1.22*λ) or Resolving Power = Aperture of Objective/(1.22*Wavelength). Aperture of Objective is the diameter of the objective lens that determines the amount of light that enters the microscope or telescope & Wavelength is the distance between two consecutive peaks or troughs of a light wave, used in microscopes and telescopes to observe microscopic and celestial objects.
How to calculate Resolving Power of Telescope?
Resolving Power of Telescope formula is defined as a measure of the ability of a telescope to distinguish between two close objects, providing a clear and distinct image of the objects being observed, and is dependent on the wavelength of light and the diameter of the telescope's aperture 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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