Resolving Limit of Microscope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta))
RL = λ/(2*RI*sin(θ))
This formula uses 1 Functions, 4 Variables
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
Variables Used
Resolving Limit - Resolving Limit is the minimum distance between two points on an object that can still be distinguished as separate by a 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.
Refractive Index - Refractive Index is a measure of how much a light beam bends when passing from one medium to another in a microscope or telescope lens.
Theta - (Measured in Radian) - Theta is the angle of rotation of the stage or the angle of inclination of the microscope or telescope in a specific observation.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Meter --> 2.1 Meter No Conversion Required
Refractive Index: 1.333 --> No Conversion Required
Theta: 96 Degree --> 1.67551608191424 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RL = λ/(2*RI*sin(θ)) --> 2.1/(2*1.333*sin(1.67551608191424))
Evaluating ... ...
RL = 0.792035779101018
STEP 3: Convert Result to Output's Unit
0.792035779101018 --> No Conversion Required
FINAL ANSWER
0.792035779101018 0.792036 <-- 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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Resolving Limit Calculators

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Resolving Power of Telescope
​ LaTeX ​ Go Resolving Power = Aperture of Objective/(1.22*Wavelength)
Resolving Limit of Telescope
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Resolving Limit of Microscope Formula

​LaTeX ​Go
Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta))
RL = λ/(2*RI*sin(θ))

What is Resolving Limit of a Microscope ?


The resolving limit of a microscope, also known as the resolving power, refers to the minimum distance between two distinct points that can be distinguished as separate entities in an image. It is a critical factor in determining the clarity and detail of the observed specimen. The resolving limit is influenced by the wavelength of light used for illumination and the numerical aperture (NA) of the microscope's objective lens, which affects its ability to gather light and resolve fine details.

How to Calculate Resolving Limit of Microscope?

Resolving Limit of Microscope calculator uses Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta)) to calculate the Resolving Limit, Resolving Limit of Microscope formula is defined as a measure of the minimum distance between two points on a specimen that can still be distinguished as separate, which depends on the wavelength of light, refractive index, and angle of incidence, and is a critical parameter in determining the resolving power of a microscope. Resolving Limit is denoted by RL symbol.

How to calculate Resolving Limit of Microscope using this online calculator? To use this online calculator for Resolving Limit of Microscope, enter Wavelength (λ), Refractive Index (RI) & Theta (θ) and hit the calculate button. Here is how the Resolving Limit of Microscope calculation can be explained with given input values -> 0.792036 = 2.1/(2*1.333*sin(1.67551608191424)).

FAQ

What is Resolving Limit of Microscope?
Resolving Limit of Microscope formula is defined as a measure of the minimum distance between two points on a specimen that can still be distinguished as separate, which depends on the wavelength of light, refractive index, and angle of incidence, and is a critical parameter in determining the resolving power of a microscope and is represented as RL = λ/(2*RI*sin(θ)) or Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta)). 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, Refractive Index is a measure of how much a light beam bends when passing from one medium to another in a microscope or telescope lens & Theta is the angle of rotation of the stage or the angle of inclination of the microscope or telescope in a specific observation.
How to calculate Resolving Limit of Microscope?
Resolving Limit of Microscope formula is defined as a measure of the minimum distance between two points on a specimen that can still be distinguished as separate, which depends on the wavelength of light, refractive index, and angle of incidence, and is a critical parameter in determining the resolving power of a microscope is calculated using Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta)). To calculate Resolving Limit of Microscope, you need Wavelength (λ), Refractive Index (RI) & Theta (θ). With our tool, you need to enter the respective value for Wavelength, Refractive Index & Theta 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, Refractive Index & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Resolving Limit = 1.22*Wavelength/Aperture of Objective
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