This de Broglie wavelength calculator will aid in the description of matter's wave-particle duality. Simply provide the respective inputs and click on the calculate button to find out the parameter of your choice in no time.

**De Broglie Wavelength Calculator: **Using the helpful calculator tool given here, you may improve your comprehension of the de Broglie wavelength calculation. Learn how to compute an electron’s de Broglie wavelengths manually. Look out for the de Broglie Wavelength formula and its complete methods for derivation. We've also included example questions to help you understand.

The De Broglie Wavelength is the wavelength at which an object's momentum and mass are related. The wavelength of de Broglie and the object force are inversely related. The de Broglie wavelength equation depicts the relationship between the particle's nature and the body's nature.

A beam of particles of a certain mass can act as a matter wave, according to de Broglie. Its wavelength is proportional to the particle's mass and velocity:

λ = h/mv

- Where m is the mass of the particle
- v is the particle's velocity, and
- h is the plank's constant i.e. h = 6.6261*10
^{-34}Js

The following steps will let you know how to use the De Broglie Wavelength Calculator. They are as such

- In the input area, enter the photon energy and x for the unspecified amount.
- To have the wavelengths, click the "Calculate x" button.
- Finally, the output field will show the undetermined value calculated using the De Broglie wavelengths.
- Tap on the calculate button and the calculator does everything for you in no time.

Question 1: Determine the wavelength of an electron travelling at 2*10^{6}ms^{-1}?

Solution:

Given:

The electron's velocity is v = 2*10^{6}6 ms^{-1}

m =9.1*10^{-31} Kg is the mass of an electron.

h = 6.62607015*10^{34} Js, Planck's Constant

= h/mv gives us the de-Broglie wavelength.

= 6.62607015×10^{-34} /(2×10^{6})(9.1×10^{-31})

λ = 0.364×10^{9}m

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**1. Which has a faster speed for the same de Broglie wavelength: the electron or the proton?**

The particle's de-Broglie wavelength is the same. As a result, their momentum will be balanced. The product of mass and velocity is momentum. As a result, the speed of a given particle is inversely proportional to its mass. A proton with a larger mass will travel slower, while an electron with a smaller mass will travel faster.

**2. How do you determine a wave function's de Broglie wavelength?**

The de Broglie wavelength is equal to h/p, and the de Broglie relations are equal to h/p and f = E/h, respectively.

**3. At 100 eV, what is the de Broglie wavelength of an electron in?**

At 100 eV, what is the de Broglie wavelength of an electron? (b) 1.6 1017 J = K = 100 eV. = h/p = h/2mK = 0.123 nm, according to de Broglie.

**4. What is the de-Broglie wavelength in terms of heat?**

The average de Broglie wavelength of the gas particles in an ideal gas at the specified temperature is comparable to the thermal de Broglie wavelength.