## Resolving Power of Microscope Solution

STEP 0: Pre-Calculation Summary
Formula Used
Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength
RP = (2*RI*sin(θ))/λ
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 Power - The resolving power of an objective lens is measured by its ability to differentiate two lines or points in an object.
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.
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
Refractive Index: 1.333 --> No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RP = (2*RI*sin(θ))/λ --> (2*1.333*sin(0.5235987755982))/2.1E-09
Evaluating ... ...
RP = 634761904.761905
STEP 3: Convert Result to Output's Unit
634761904.761905 --> No Conversion Required
634761904.761905 6.3E+8 <-- Resolving Power
(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 Power of Microscope Formula

Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength
RP = (2*RI*sin(θ))/λ

## How is resolving power of a microscope calculated ?

In reference to a microscope, the reciprocal of the minimum distance between two lines at which they are just distinct is called Resolving Power (RPO).Resolving power = 1/△ d = 2μsinθ/λ. Where n is the refractive index of the medium separating object and aperture. Note that to achieve high-resolution n sin θ must be large. This is known as the Numerical aperture.

## How to Calculate Resolving Power of Microscope?

Resolving Power of Microscope calculator uses Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength to calculate the Resolving Power, Resolving power of microscope is the inverse of the distance between two objects that can be just resolved. Resolving Power is denoted by RP symbol.

How to calculate Resolving Power of Microscope using this online calculator? To use this online calculator for Resolving Power of Microscope, enter Refractive Index (RI), Theta (θ) & Wavelength (λ) and hit the calculate button. Here is how the Resolving Power of Microscope calculation can be explained with given input values -> 6.3E+8 = (2*1.333*sin(0.5235987755982))/2.1E-09.

### FAQ

What is Resolving Power of Microscope?
Resolving power of microscope is the inverse of the distance between two objects that can be just resolved and is represented as RP = (2*RI*sin(θ))/λ or Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength. 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 & 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 Microscope?
Resolving power of microscope is the inverse of the distance between two objects that can be just resolved is calculated using Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength. To calculate Resolving Power of Microscope, you need Refractive Index (RI), Theta (θ) & Wavelength (λ). With our tool, you need to enter the respective value for Refractive Index, Theta & 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 Refractive Index, Theta & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Resolving Power = Aperture of Objective/(1.22*Wavelength)
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