Kinetic Energy given Threshold Wavelength Calculator

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✖Threshold Wavelength is defined as the maximum wavelength that the incident radiation must have so that photoelectric effect takes place.ⓘ Threshold Wavelength [λ_o]			+10% -10%
✖Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.ⓘ Wavelength [λ]			+10% -10%

✖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.ⓘ Kinetic Energy given Threshold Wavelength [KE]

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Formula

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Kinetic Energy given Threshold Wavelength

Formula

`"KE" = "[hP]"*"[c]"*("λ"_{"o"}-"λ")/("λ"*"λ"_{"o"})`

Example

`"9.4E^-17J"="[hP]"*"[c]"*("500nm"-"2.1nm")/("2.1nm"*"500nm")`

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Kinetic Energy given Threshold Wavelength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength)
KE = [hP]*[c]*(λ_o-λ)/(λ*λ_o)
This formula uses 2 Constants, 3 Variables

Constants Used

[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0

Variables Used

Kinetic Energy - (Measured in Joule) - 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.
Threshold Wavelength - (Measured in Meter) - Threshold Wavelength is defined as the maximum wavelength that the incident radiation must have so that photoelectric effect takes place.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

STEP 1: Convert Input(s) to Base Unit

Threshold Wavelength: 500 Nanometer --> 5E-07 Meter (Check conversion here)
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

KE = [hP]*[c]*(λ_o-λ)/(λ*λ_o) --> [hP]*[c]*(5E-07-2.1E-09)/(2.1E-09*5E-07)

Evaluating ... ...

KE = 9.41953691290589E-17

STEP 3: Convert Result to Output's Unit

9.41953691290589E-17 Joule --> No Conversion Required

FINAL ANSWER

9.41953691290589E-17 ≈ 9.4E-17 Joule <-- Kinetic Energy

(Calculation completed in 00.004 seconds)

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Amity Institute Of Applied Sciences (AIAS, Amity University), Noida, India

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< 7 Photo Electric Effect Calculators

Kinetic Energy given Threshold Wavelength

Go Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength)

Intensity of Light in Photo Electric Effect

Go Intensity of light = Number of Photons/(Area*Time for Photoelectric Effect)

Kinetic Energy of Photoelectrons

Go Kinetic Energy of Photon = [hP]*(Frequency of Photon-Threshold Frequency)

Energy of Photon in Photo Electric Effect

Go Energy of Photon EEF = Threshold Energy+Kinetic Energy

Kinetic Energy of Photoelectrons given Threshold Energy

Go Kinetic Energy = Energy of Photon-Threshold Energy

Threshold Energy given Energy of Photon

Go Threshold Energy = Energy of Photon-Kinetic Energy

Threshold Frequency given Threshold Energy

Go Threshold Frequency = Threshold Energy/[hP]

Kinetic Energy given Threshold Wavelength Formula

Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength)
KE = [hP]*[c]*(λ_o-λ)/(λ*λ_o)

What is Kinetic energy?

Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.

What is Photo-electric effect?

The photoelectric effect is the emission of electrons when electromagnetic radiation, such as light, hits a material. Electrons emitted in this manner are called photoelectrons.

How to Calculate Kinetic Energy given Threshold Wavelength?

Kinetic Energy given Threshold Wavelength calculator uses Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength) to calculate 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 calculate Kinetic Energy given Threshold Wavelength using this online calculator? To use this online calculator for Kinetic Energy given Threshold Wavelength, enter Threshold Wavelength (λ_o) & Wavelength (λ) and hit the calculate button. Here is how the Kinetic Energy given Threshold Wavelength calculation can be explained with given input values -> 9.4E-17 = [hP]*[c]*(5E-07-2.1E-09)/(2.1E-09*5E-07).

FAQ

What is Kinetic Energy given Threshold Wavelength?

The Kinetic Energy given threshold wavelength is defined as the energy of an object when moving from the state of rest to motion and is represented as KE = [hP]*[c]*(λ_o-λ)/(λ*λ_o) or Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength). Threshold Wavelength is defined as the maximum wavelength that the incident radiation must have so that photoelectric effect takes place & Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

How to calculate Kinetic Energy given Threshold Wavelength?

The Kinetic Energy given threshold wavelength is defined as the energy of an object when moving from the state of rest to motion is calculated using Kinetic Energy = [hP]*[c]*(Threshold Wavelength-Wavelength)/(Wavelength*Threshold Wavelength). To calculate Kinetic Energy given Threshold Wavelength, you need Threshold Wavelength (λ_o) & Wavelength (λ). With our tool, you need to enter the respective value for Threshold Wavelength & Wavelength and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Kinetic Energy?

In this formula, Kinetic Energy uses Threshold Wavelength & Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -

Kinetic Energy = Energy of Photon-Threshold Energy

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