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Resolving Limit of Microscope Formula

GoResolving Limit of Telescope Formula

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Resolving Limit is the minimum distance between two lines at which they are just distinct. Check FAQs

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

RL - Resolving Limit?λ - Wavelength?RI - Refractive Index?θ - Theta?

Resolving Limit of Microscope Example

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

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

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

1.6E-9 = \frac{2.1}{2 \cdot 1.333 \cdot \sin (30)}

1.6E-9 = \frac{2.1nm}{2 \cdot 1.333 \cdot \sin (30°)}

1.6E-9 = \frac{2.1}{2 \cdot 1.333 \cdot \sin (30)}

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Resolving Limit of Microscope Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

RL = 1.57539384846212E-09

LAST Step Rounding Answer

∴

RL = 1.6E-9

Resolving Limit of Microscope Formula Elements

Variables

Functions

Resolving Limit

Resolving Limit is the minimum distance between two lines at which they are just distinct.

Symbol: RL

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Resolving Limit

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

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

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 Limit

Go Resolving Limit of Telescope

RL = 1.22 \cdot \frac{λ}{a}

Other formulas in Resolving Limit category

Go Resolving Power of Microscope

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

Go Resolving Power of Telescope

RP = \frac{a}{1.22 \cdot λ}

How to Evaluate Resolving Limit of Microscope?

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

FAQs on Resolving Limit of Microscope

What is the formula to find Resolving Limit of Microscope?

The formula of Resolving Limit of Microscope is expressed as Resolving Limit = Wavelength/(2*Refractive Index*sin(Theta)). Here is an example- 1.6E-9 = 2.1E-09/(2*1.333*sin(0.5235987755982)).

How to calculate Resolving Limit of Microscope?

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

What are the other ways to Calculate Resolving Limit?

Here are the different ways to Calculate Resolving Limit-

Resolving Limit=1.22*Wavelength/Aperture of Objective

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Resolving Limit of Microscope Formula

​GoResolving Limit of Telescope Formula

Resolving Limit of Microscope Example

Resolving Limit of Microscope Solution

Resolving Limit of Microscope Formula Elements

Other Formulas to find Resolving Limit

Other formulas in Resolving Limit category

How to Evaluate Resolving Limit of Microscope?

FAQs on Resolving Limit of Microscope

Variable Name

GoResolving Limit of Telescope Formula