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Kinetic Energy given Threshold Wavelength Formula

GoKinetic Energy of Photoelectrons given Threshold Energy Formula

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Kinetic Energy is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. Check FAQs

KE = [hP] \cdot [c] \cdot \frac{λ o - λ}{λ \cdot λ o}

KE - Kinetic Energy?λ_o - Threshold Wavelength?λ - Wavelength?[hP] - Planck constant?[c] - Light speed in vacuum?

Kinetic Energy given Threshold Wavelength Example

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Here is how the Kinetic Energy given Threshold Wavelength equation looks like with Values.

Here is how the Kinetic Energy given Threshold Wavelength equation looks like with Units.

Here is how the Kinetic Energy given Threshold Wavelength equation looks like.

9.4E-17 = 6.6E-34 \cdot 3E+8 \cdot \frac{500 - 2.1}{2.1 \cdot 500}

9.4E-17J = 6.6E-34 \cdot 3E+8m/s \cdot \frac{500nm - 2.1nm}{2.1nm \cdot 500nm}

9.4E-17 = 6.6E-34 \cdot 3E+8 \cdot \frac{500 - 2.1}{2.1 \cdot 500}

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Kinetic Energy given Threshold Wavelength Solution

Follow our step by step solution on how to calculate Kinetic Energy given Threshold Wavelength?

FIRST Step Consider the formula

KE = [hP] \cdot [c] \cdot \frac{λ o - λ}{λ \cdot λ o}

Next Step Substitute values of Variables

∴

KE = [hP] \cdot [c] \cdot \frac{500nm - 2.1nm}{2.1nm \cdot 500nm}

Next Step Substitute values of Constants

∴

KE = 6.6E-34 \cdot 3E+8m/s \cdot \frac{500nm - 2.1nm}{2.1nm \cdot 500nm}

Next Step Convert Units

∴

KE = 6.6E-34 \cdot 3E+8m/s \cdot \frac{5E-7m - 2.1E-9m}{2.1E-9m \cdot 5E-7m}

Next Step Prepare to Evaluate

∴

KE = 6.6E-34 \cdot 3E+8 \cdot \frac{5E-7 - 2.1E-9}{2.1E-9 \cdot 5E-7}

Next Step Evaluate

∴

KE = 9.41953691290589E-17J

LAST Step Rounding Answer

∴

KE = 9.4E-17J

Kinetic Energy given Threshold Wavelength Formula Elements

Variables

Constants

Kinetic Energy

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Threshold Wavelength

Threshold Wavelength is defined as the maximum wavelength that the incident radiation must have so that photoelectric effect takes place.

Symbol: λ_o

Measurement: LengthUnit: nm

Note: Value should be greater than 0.

Formulas to find Threshold Wavelength

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

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Other Formulas to find Kinetic Energy

Go Kinetic Energy of Photoelectrons given Threshold Energy

KE = E photon - W

Other formulas in Photo Electric Effect category

Go Intensity of Light in Photo Electric Effect

I = \frac{n p}{A \cdot T photoelectric}

Go Kinetic Energy of Photoelectrons

KE photon = [hP] \cdot (ν photon - v 0)

Go Energy of Photon in Photo Electric Effect

E photon_EEF = W + KE

Go Threshold Energy given Energy of Photon

W = E photon - KE

How to Evaluate Kinetic Energy given Threshold Wavelength?

Kinetic Energy given Threshold Wavelength evaluator uses Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength) to evaluate the Kinetic Energy, The Kinetic Energy given threshold wavelength is defined as the energy of an object when moving from the state of rest to motion. Kinetic Energy is denoted by KE symbol.

How to evaluate Kinetic Energy given Threshold Wavelength using this online evaluator? To use this online evaluator for Kinetic Energy given Threshold Wavelength, enter Threshold Wavelength (λ_o) & Wavelength (λ) and hit the calculate button.

FAQs on Kinetic Energy given Threshold Wavelength

What is the formula to find Kinetic Energy given Threshold Wavelength?

The formula of Kinetic Energy given Threshold Wavelength is expressed as Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength). Here is an example- 9.4E-17 = [hP]*[c]*(5E-07-2.1E-09)/(2.1E-09*5E-07).

How to calculate Kinetic Energy given Threshold Wavelength?

With Threshold Wavelength (λ_o) & Wavelength (λ) we can find Kinetic Energy given Threshold Wavelength using the formula - Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength). This formula also uses Planck constant, Light speed in vacuum constant(s).

What are the other ways to Calculate Kinetic Energy?

Here are the different ways to Calculate Kinetic Energy-

Kinetic Energy=Energy of Photon-Threshold Energy

Can the Kinetic Energy given Threshold Wavelength be negative?

Yes, the Kinetic Energy given Threshold Wavelength, measured in Energy can be negative.

Which unit is used to measure Kinetic Energy given Threshold Wavelength?

Kinetic Energy given Threshold Wavelength is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Kinetic Energy given Threshold Wavelength can be measured.

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