## 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 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.
Refractive Index - The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
Refractive Index: 1.333 --> No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RL = λ/(2*RI*sin(θ)) --> 2.1E-09/(2*1.333*sin(0.5235987755982))
Evaluating ... ...
RL = 1.57539384846212E-09
STEP 3: Convert Result to Output's Unit
1.57539384846212E-09 --> No Conversion Required
1.57539384846212E-09 1.6E-9 <-- Resolving Limit
(Calculation completed in 00.004 seconds)
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Birsa Institute of Technology (BIT), Sindri
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## <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 Microscope Formula

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

## How is resolving limit of a microscope calculated ?

In reference to a microscope, the minimum distance between two lines at which they are just distinct is called the Resolving limit (RL). R.L. = △ d = λ/2μ sin θ where λ is the wavelength of the light used to illuminate the object, μ is the refractive index of the medium between object and objective and θ is the half-angle of the cone of light from the point object,μ sin θ is the numerical aperture.

## 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 is the distance between two objects at which they are distinct that can be just resolved. 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 -> 1.6E-9 = 2.1E-09/(2*1.333*sin(0.5235987755982)).

### FAQ

What is Resolving Limit of Microscope?
Resolving limit of microscope is the distance between two objects at which they are distinct that can be just resolved and is represented as RL = λ/(2*RI*sin(θ)) or Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta)). Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire, The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can bend when it enters from one medium to the other & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Resolving Limit of Microscope?
Resolving limit of microscope is the distance between two objects at which they are distinct that can be just resolved 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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