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Wavelength of all Spectral Lines Formula

GoRydberg's Equation Formula

GoRydberg's Equation for hydrogen Formula

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Wave Number of Particle for HA is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance. Check FAQs

ν' HA = \frac{({n initial}^{2}) \cdot ({n final}^{2})}{[R] \cdot (Z^{2}) \cdot (({n final}^{2}) - ({n initial}^{2}))}

ν'_HA - Wave Number of Particle for HA?n_initial - Initial Orbit?n_final - Final Orbit?Z - Atomic Number?[R] - Universal gas constant?

Wavelength of all Spectral Lines Example

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Here is how the Wavelength of all Spectral Lines equation looks like with Values.

Here is how the Wavelength of all Spectral Lines equation looks like with Units.

Here is how the Wavelength of all Spectral Lines equation looks like.

0.0046 = \frac{(3^{2}) \cdot (7^{2})}{8.3145 \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

0.00461/m = \frac{(3^{2}) \cdot (7^{2})}{8.3145 \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

0.0046 = \frac{(3^{2}) \cdot (7^{2})}{8.3145 \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

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Wavelength of all Spectral Lines Solution

Follow our step by step solution on how to calculate Wavelength of all Spectral Lines?

FIRST Step Consider the formula

ν' HA = \frac{({n initial}^{2}) \cdot ({n final}^{2})}{[R] \cdot (Z^{2}) \cdot (({n final}^{2}) - ({n initial}^{2}))}

Next Step Substitute values of Variables

∴

ν' HA = \frac{(3^{2}) \cdot (7^{2})}{[R] \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

Next Step Substitute values of Constants

∴

ν' HA = \frac{(3^{2}) \cdot (7^{2})}{8.3145 \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

Next Step Prepare to Evaluate

∴

ν' HA = \frac{(3^{2}) \cdot (7^{2})}{8.3145 \cdot (17^{2}) \cdot ((7^{2}) - (3^{2}))}

Next Step Evaluate

∴

ν' HA = 0.00458824468631853Diopter

Next Step Convert to Output's Unit

∴

ν' HA = 0.004588244686318531/m

LAST Step Rounding Answer

∴

ν' HA = 0.00461/m

Wavelength of all Spectral Lines Formula Elements

Variables

Constants

Wave Number of Particle for HA

Wave Number of Particle for HA is the spatial frequency of a particle, measured in cycles per unit distance or radians per unit distance.

Symbol: ν'_HA

Measurement: Wave NumberUnit: 1/m

Note: Value can be positive or negative.

Formulas to find Wave Number of Particle for HA

Initial Orbit

Initial Orbit is a number that is related to the principal quantum number or energy quantum number.

Symbol: n_initial

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Initial Orbit

Final Orbit

Final Orbit is a number that is related to the principal quantum number or energy quantum number.

Symbol: n_final

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Final Orbit

Atomic Number

Atomic Number is the number of protons present inside the nucleus of an atom of an element.

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Atomic Number

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Wave Number of Particle for HA

Go Rydberg's Equation

ν' HA = [Rydberg] \cdot (Z^{2}) \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

Go Rydberg's Equation for hydrogen

ν' HA = [Rydberg] \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

Go Rydberg's Equation for Lyman series

ν' HA = [Rydberg] \cdot (\frac{1}{1^{2}} - \frac{1}{{n final}^{2}})

Go Rydberg's Equation for Balmer Series

ν' HA = [Rydberg] \cdot (\frac{1}{2^{2}} - (\frac{1}{{n final}^{2}}))

Other formulas in Hydrogen Spectrum category

Go Number of Spectral Lines

n s = \frac{n quantum \cdot (n quantum - 1)}{2}

Go Energy of Stationary State of Hydrogen

E V = - ([Rydberg]) \cdot (\frac{1}{{n quantum}^{2}})

Go Frequency associated with Photon

ν photon_HA = \frac{∆E orbits}{[hP]}

Go Frequency of Photon given Energy Levels

ν HA = [R] \cdot (\frac{1}{{n initial}^{2}} - (\frac{1}{{n final}^{2}}))

How to Evaluate Wavelength of all Spectral Lines?

Wavelength of all Spectral Lines evaluator uses Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2))) to evaluate the Wave Number of Particle for HA, The Wavelength of all spectral lines is the wavelength of all the spectral or energy lines or levels in all the series. Wave Number of Particle for HA is denoted by ν'_HA symbol.

How to evaluate Wavelength of all Spectral Lines using this online evaluator? To use this online evaluator for Wavelength of all Spectral Lines, enter Initial Orbit (n_initial), Final Orbit (n_final) & Atomic Number (Z) and hit the calculate button.

FAQs on Wavelength of all Spectral Lines

What is the formula to find Wavelength of all Spectral Lines?

The formula of Wavelength of all Spectral Lines is expressed as Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2))). Here is an example- 0.004588 = ((3^2)*(7^2))/([R]*(17^2)*((7^2)-(3^2))).

How to calculate Wavelength of all Spectral Lines?

With Initial Orbit (n_initial), Final Orbit (n_final) & Atomic Number (Z) we can find Wavelength of all Spectral Lines using the formula - Wave Number of Particle for HA = ((Initial Orbit^2)*(Final Orbit^2))/([R]*(Atomic Number^2)*((Final Orbit^2)-(Initial Orbit^2))). This formula also uses Universal gas constant .

What are the other ways to Calculate Wave Number of Particle for HA?

Here are the different ways to Calculate Wave Number of Particle for HA-

Wave Number of Particle for HA=[Rydberg]*(Atomic Number^2)*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Wave Number of Particle for HA=[Rydberg]*(1/(Initial Orbit^2)-(1/(Final Orbit^2)))
Wave Number of Particle for HA=[Rydberg]*(1/(1^2)-1/(Final Orbit^2))

Can the Wavelength of all Spectral Lines be negative?

Yes, the Wavelength of all Spectral Lines, measured in Wave Number can be negative.

Which unit is used to measure Wavelength of all Spectral Lines?

Wavelength of all Spectral Lines is usually measured using the 1 per Meter[1/m] for Wave Number. Diopter[1/m], Kayser[1/m] are the few other units in which Wavelength of all Spectral Lines can be measured.

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Wavelength of all Spectral Lines Formula

​GoRydberg's Equation Formula

​GoRydberg's Equation for hydrogen Formula

Wavelength of all Spectral Lines Example

Wavelength of all Spectral Lines Solution

Wavelength of all Spectral Lines Formula Elements

Other Formulas to find Wave Number of Particle for HA

Other formulas in Hydrogen Spectrum category

How to Evaluate Wavelength of all Spectral Lines?

FAQs on Wavelength of all Spectral Lines

Variable Name

GoRydberg's Equation Formula

GoRydberg's Equation for hydrogen Formula