De Broglie's Wavelength given Velocity of Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Wavelength DB = [hP]/(Mass in Dalton*Velocity)
λDB = [hP]/(M*v)
This formula uses 1 Constants, 3 Variables
Constants Used
[hP] - Planck constant Value Taken As 6.626070040E-34
Variables Used
Wavelength DB - (Measured in Meter) - Wavelength DB is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Mass in Dalton - (Measured in Kilogram) - Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Velocity - (Measured in Meter per Second) - Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
STEP 1: Convert Input(s) to Base Unit
Mass in Dalton: 35 Dalton --> 5.81185500034244E-26 Kilogram (Check conversion here)
Velocity: 60 Meter per Second --> 60 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
λDB = [hP]/(M*v) --> [hP]/(5.81185500034244E-26*60)
Evaluating ... ...
λDB = 1.90015925483619E-10
STEP 3: Convert Result to Output's Unit
1.90015925483619E-10 Meter -->0.190015925483619 Nanometer (Check conversion here)
FINAL ANSWER
0.190015925483619 0.190016 Nanometer <-- Wavelength DB
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Indian Institute of Technology (IIT), Kanpur
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16 De Broglie Hypothesis Calculators

De Broglie Wavelength given Total Energy
Go Wavelength given TE = [hP]/(sqrt(2*Mass in Dalton*(Total Energy Radiated-Potential Energy)))
De Broglie Wavelength of Charged Particle given Potential
Go Wavelength given P = [hP]/(2*[Charge-e]*Electric Potential Difference*Mass of Moving Electron)
Wavelength of Thermal Neutron
Go Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)
Relation between de Broglie Wavelength and Kinetic Energy of Particle
Go Wavelength = [hP]/sqrt(2*Kinetic Energy*Mass of Moving Electron)
Potential given de Broglie Wavelength
Go Electric Potential Difference = ([hP]^2)/(2*[Charge-e]*Mass of Moving Electron*(Wavelength^2))
Number of Revolutions of Electron
Go Revolutions per Sec = Velocity of Electron/(2*pi*Radius of Orbit)
De Broglie Wavelength of Particle in Circular Orbit
Go Wavelength given CO = (2*pi*Radius of Orbit)/Quantum Number
De Broglie's Wavelength given Velocity of Particle
Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)
De Brogile Wavelength
Go Wavelength DB = [hP]/(Mass in Dalton*Velocity)
Energy of Particle given de Broglie Wavelength
Go Energy given DB = ([hP]*[c])/Wavelength
Kinetic Energy given de Broglie Wavelength
Go Energy of AO = ([hP]^2)/(2*Mass of Moving Electron*(Wavelength^2))
Mass of Particle given de Broglie Wavelength and Kinetic Energy
Go Mass of Moving E = ([hP]^2)/(((Wavelength)^2)*2*Kinetic Energy)
De Broglie Wavelength for Electron given Potential
Go Wavelength given PE = 12.27/sqrt(Electric Potential Difference)
Energy of Particle
Go Energy of AO = [hP]*Frequency
Potential given de Broglie Wavelength of Electron
Go Electric Potential Difference = (12.27^2)/(Wavelength^2)
Einstein's Mass Energy Relation
Go Energy given DB = Mass in Dalton*([c]^2)

De Broglie's Wavelength given Velocity of Particle Formula

Wavelength DB = [hP]/(Mass in Dalton*Velocity)
λDB = [hP]/(M*v)

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 De Broglie's Wavelength given Velocity of Particle?

De Broglie's Wavelength given Velocity of Particle calculator uses Wavelength DB = [hP]/(Mass in Dalton*Velocity) to calculate the Wavelength DB, The de Broglie's wavelength given velocity of particle is associated with a particle/electron and is related to its mass, m and velocity, v through the Planck constant, h. Wavelength DB is denoted by λDB symbol.

How to calculate De Broglie's Wavelength given Velocity of Particle using this online calculator? To use this online calculator for De Broglie's Wavelength given Velocity of Particle, enter Mass in Dalton (M) & Velocity (v) and hit the calculate button. Here is how the De Broglie's Wavelength given Velocity of Particle calculation can be explained with given input values -> 1.9E+8 = [hP]/(5.81185500034244E-26*60).

FAQ

What is De Broglie's Wavelength given Velocity of Particle?
The de Broglie's wavelength given velocity of particle is associated with a particle/electron and is related to its mass, m and velocity, v through the Planck constant, h and is represented as λDB = [hP]/(M*v) or Wavelength DB = [hP]/(Mass in Dalton*Velocity). Mass in Dalton is the quantity of matter in a body regardless of its volume or of any forces acting on it & Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
How to calculate De Broglie's Wavelength given Velocity of Particle?
The de Broglie's wavelength given velocity of particle is associated with a particle/electron and is related to its mass, m and velocity, v through the Planck constant, h is calculated using Wavelength DB = [hP]/(Mass in Dalton*Velocity). To calculate De Broglie's Wavelength given Velocity of Particle, you need Mass in Dalton (M) & Velocity (v). With our tool, you need to enter the respective value for Mass in Dalton & Velocity 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 Wavelength DB?
In this formula, Wavelength DB uses Mass in Dalton & Velocity. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Wavelength DB = [hP]/(Mass in Dalton*Velocity)
  • Wavelength DB = [hP]/sqrt(2*[Mass-n]*[BoltZ]*Temperature)
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