# Monochromatic Light Wavelength Calculator

The Monochromatic Light Wavelength Calculator will calculate the:

1. Wavelength of monochromatic light passing through a single slit using the conditions of interference
2. Wavelength of monochromatic light through Young Double-Slit Experiment
3. Wavelength of monochromatic light using the diffraction grating tool
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Width of the single slit (w) cm Angle formed by the light ray to the horizontal direction (θ) ° Order of minimum or maximum observed on the screen (N) Slits' separation in the double-slit tool (a) m Distance from the screen (D) m Vertical displacement of the Nth maximum from the central maximum (y) m Diffraction grating tool parameter (P) cm-1

Monochromatic Light Wavelength Calculator Limitations: Incidence and refractive media are considered as uniform.

Wavelength of monochromatic light passing through a single slit calculations The wavelength of monochromatic light passing through a single slit using the conditions of interference is m The wavelength of monochromatic light through Young Double-Slit Experiment is m The wavelength of monochromatic light using the diffraction grating tool is m λ1 = 2 × w × sinθ/2 × N - 1λ1 = 2 × × sin()/2 × - 1λ1 = 2 × × /λ1 = /λ1 = λ2 = a × y/N × Dλ2 = × / × λ2 = /λ2 = λ3 = sinθ/100 × P × Nλ3 = sin()/100 × -1 × λ3 = /100 × × λ3 = /λ3 = Width of the single slit (w) cm Angle formed by the light ray to the horizontal direction (θ) ° Order of minimum or maximum observed on the screen (N) Slits' separation in the double-slit tool (a) m Distance from the screen (D) m Vertical displacement of the Nth maximum from the central maximum (y) m Diffraction grating tool parameter (P) cm-1

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each wavelength of monochromatic light calculation, the Wavelength Of Monochromatic Light Calculator will automatically calculate the results and update the Physics formula elements with each element of the wavelength of monochromatic light calculation. You can then email or print this wavelength of monochromatic light calculation as required for later use.

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Section 12: Optics

## Wavelength of monochromatic light passing through a single slit Formula and Calculation

λ1 = 2 × w × sinθ/2 × N - 1

for the N-th minimum observed on the screen. =

These equations derive from the transformations of the equations used for the conditions of the N-th maximum

w × sinθ = N × λ

and N-th minimum

w × sinθ = 2N - 1/2 × λ

observed on the screen.

## Wavelength of monochromatic light passing through a double slit tool Formula and Calculation

λ2 = a × y/N × D

This formula derives by the combination of the two equations

λ = a × x/D

and

x = y/N

Note: x is the separation between two adjacent similar fringes, i.e. the separation between two maxima or minima observed on the screen.

## Wavelength of monochromatic light passing through the diffraction grating tool Formula and Calculation

λ3 = sinθ/100 × P × N

This formula is obtained by the combination of the formulae

a × sinθ = N × λ

and

a = 1/100 × P

Note: The separation a between two adjacent gratings must be expressed in metres; that's why P is multiplied by 100.

## Optics Physics Tutorials associated with the Wavelength Of Monochromatic Light Calculator

The following Physics tutorials are provided within the Optics section of our Free Physics Tutorials. Each Optics tutorial includes detailed Optics formula and example of how to calculate and resolve specific Optics questions and problems. At the end of each Optics tutorial you will find Optics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Optics and test your knowledge of Physics by answering the test questions on Optics.

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