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Resolving Power of Microscope Formula

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The resolving power of an objective lens is measured by its ability to differentiate two lines or points in an object. Check FAQs

RP = \frac{2 \cdot RI \cdot \sin (θ)}{λ}

RP - Resolving Power?RI - Refractive Index?θ - Theta?λ - Wavelength?

Resolving Power of Microscope Example

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Here is how the Resolving Power of Microscope equation looks like with Values.

Here is how the Resolving Power of Microscope equation looks like with Units.

Here is how the Resolving Power of Microscope equation looks like.

6.3E+8 = \frac{2 \cdot 1.333 \cdot \sin (30)}{2.1}

6.3E+8 = \frac{2 \cdot 1.333 \cdot \sin (30°)}{2.1nm}

6.3E+8 = \frac{2 \cdot 1.333 \cdot \sin (30)}{2.1}

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Resolving Power of Microscope Solution

Follow our step by step solution on how to calculate Resolving Power of Microscope?

FIRST Step Consider the formula

RP = \frac{2 \cdot RI \cdot \sin (θ)}{λ}

Next Step Substitute values of Variables

∴

RP = \frac{2 \cdot 1.333 \cdot \sin (30°)}{2.1nm}

Next Step Convert Units

∴

RP = \frac{2 \cdot 1.333 \cdot \sin (0.5236rad)}{2.1E-9m}

Next Step Prepare to Evaluate

∴

RP = \frac{2 \cdot 1.333 \cdot \sin (0.5236)}{2.1E-9}

Next Step Evaluate

∴

RP = 634761904.761905

LAST Step Rounding Answer

∴

RP = 6.3E+8

Resolving Power of Microscope Formula Elements

Variables

Functions

Resolving Power

The resolving power of an objective lens is measured by its ability to differentiate two lines or points in an object.

Symbol: RP

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Resolving Power

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.

Symbol: RI

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Wavelength

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

Symbol: λ

Measurement: WavelengthUnit: nm

Note: Value can be positive or negative.

Formulas to find Wavelength

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.

Syntax: sin(Angle)

Other Formulas to find Resolving Power

Go Resolving Power of Telescope

RP = \frac{a}{1.22 \cdot λ}

Other formulas in Resolving Limit category

Go Resolving Limit of Microscope

RL = \frac{λ}{2 \cdot RI \cdot \sin (θ)}

Go Resolving Limit of Telescope

RL = 1.22 \cdot \frac{λ}{a}

How to Evaluate Resolving Power of Microscope?

Resolving Power of Microscope evaluator uses Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength to evaluate 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 evaluate Resolving Power of Microscope using this online evaluator? To use this online evaluator for Resolving Power of Microscope, enter Refractive Index (RI), Theta (θ) & Wavelength (λ) and hit the calculate button.

FAQs on Resolving Power of Microscope

What is the formula to find Resolving Power of Microscope?

The formula of Resolving Power of Microscope is expressed as Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength. Here is an example- 6.3E+8 = (2*1.333*sin(0.5235987755982))/2.1E-09.

How to calculate Resolving Power of Microscope?

With Refractive Index (RI), Theta (θ) & Wavelength (λ) we can find Resolving Power of Microscope using the formula - Resolving Power = (2*Refractive Index*sin(Theta))/Wavelength. This formula also uses Sine function(s).

What are the other ways to Calculate Resolving Power?

Here are the different ways to Calculate Resolving Power-

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

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Resolving Power of Microscope Formula

​GoResolving Power of Telescope Formula

Resolving Power of Microscope Example

Resolving Power of Microscope Solution

Resolving Power of Microscope Formula Elements

Other Formulas to find Resolving Power

Other formulas in Resolving Limit category

How to Evaluate Resolving Power of Microscope?

FAQs on Resolving Power of Microscope

Variable Name

GoResolving Power of Telescope Formula