Energy of Particle given de Broglie Wavelength Solution

STEP 0: Pre-Calculation Summary
Formula Used
Energy given DB = ([hP]*[c])/Wavelength
EDB = ([hP]*[c])/λ
This formula uses 2 Constants, 2 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Energy given DB - (Measured in Joule) - Energy given DB is the amount of work done.
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
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
EDB = ([hP]*[c])/λ --> ([hP]*[c])/2.1E-09
Evaluating ... ...
EDB = 9.45926582938932E-17
STEP 3: Convert Result to Output's Unit
9.45926582938932E-17 Joule --> No Conversion Required
FINAL ANSWER
9.45926582938932E-17 9.5E-17 Joule <-- Energy given DB
(Calculation completed in 00.004 seconds)

Credits

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Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
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Verified by Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
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De Broglie Wavelength of Particle in Circular Orbit
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Energy of Particle given de Broglie Wavelength Formula

​LaTeX ​Go
Energy given DB = ([hP]*[c])/Wavelength
EDB = ([hP]*[c])/λ

What is de Broglie's hypothesis of matter waves?

Louis de Broglie proposed a new speculative hypothesis that electrons and other particles of matter can behave like waves. According to de Broglie’s hypothesis, massless photons, as well as massive particles, must satisfy one common set of relations that connect the energy E with the frequency f, and the linear momentum p with the de- Broglie wavelength.

How to Calculate Energy of Particle given de Broglie Wavelength?

Energy of Particle given de Broglie Wavelength calculator uses Energy given DB = ([hP]*[c])/Wavelength to calculate the Energy given DB, The Energy of particle given de Broglie wavelength is defined as is the energy consumed by the particle to move from one point to another. Energy given DB is denoted by EDB symbol.

How to calculate Energy of Particle given de Broglie Wavelength using this online calculator? To use this online calculator for Energy of Particle given de Broglie Wavelength, enter Wavelength (λ) and hit the calculate button. Here is how the Energy of Particle given de Broglie Wavelength calculation can be explained with given input values -> 9.5E-17 = ([hP]*[c])/2.1E-09.

FAQ

What is Energy of Particle given de Broglie Wavelength?
The Energy of particle given de Broglie wavelength is defined as is the energy consumed by the particle to move from one point to another and is represented as EDB = ([hP]*[c])/λ or Energy given DB = ([hP]*[c])/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.
How to calculate Energy of Particle given de Broglie Wavelength?
The Energy of particle given de Broglie wavelength is defined as is the energy consumed by the particle to move from one point to another is calculated using Energy given DB = ([hP]*[c])/Wavelength. To calculate Energy of Particle given de Broglie Wavelength, you need Wavelength (λ). With our tool, you need to enter the respective value for 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 Energy given DB?
In this formula, Energy given DB uses Wavelength. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Energy given DB = Mass in Dalton*([c]^2)
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