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Resolving Power of Microscope Formula

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Resolving Power is the ability of a microscope or telescope to distinguish between two closely spaced objects as separate entities. 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.

1.2626 = \frac{2 \cdot 1.333 \cdot \sin (96)}{2.1}

1.2626 = \frac{2 \cdot 1.333 \cdot \sin (96°)}{2.1m}

1.2626 = \frac{2 \cdot 1.333 \cdot \sin (96)}{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 (96°)}{2.1m}

Next Step Convert Units

∴

RP = \frac{2 \cdot 1.333 \cdot \sin (1.6755rad)}{2.1m}

Next Step Prepare to Evaluate

∴

RP = \frac{2 \cdot 1.333 \cdot \sin (1.6755)}{2.1}

Next Step Evaluate

∴

RP = 1.26256922526281

LAST Step Rounding Answer

∴

RP = 1.2626

Resolving Power of Microscope Formula Elements

Variables

Functions

Resolving Power

Resolving Power is the ability of a microscope or telescope to distinguish between two closely spaced objects as separate entities.

Symbol: RP

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Resolving Power

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.

Symbol: RI

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Refractive Index

Theta

Theta is the angle of rotation of the stage or the angle of inclination of the microscope or telescope in a specific observation.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

Wavelength

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.

Symbol: λ

Measurement: WavelengthUnit: m

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 formula is defined as a measure of the ability of a microscope to distinguish between two closely spaced objects as separate entities, depending on the wavelength of light used and the numerical aperture of the objective lens. It represents the minimum distance between two points that can still be perceived as separate. 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- 1.262569 = (2*1.333*sin(1.67551608191424))/2.1.

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 (sin) 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