Help finding de Broglie wavelength for an electron

In summary, the conversation discusses finding the de Broglie wavelength of an electron in the first Bohr orbit of a hydrogen atom with a given kinetic energy. The relevant equations are lambda=h/p and lambda=h/(sqrt(2mqV). To get started, the energy is used to find the momentum, which is then used to calculate the wavelength. Assistance with the correct equations and how to approach the problem is requested.
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reality99
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Homework Statement



An electron in the first Bohr orbit of a hydrogen atom (a_0=5.3*10^-11m) has a KE of 13.6 eV. Express the de Broglie wavelength for this electron in multiples of the atomic circumference.

Homework Equations



lambda=h/p
=h/(sqrt(2mqV)

The Attempt at a Solution



I honestly don't even really know how to get started. I believe these are the relative equations but combining the Bohr model and de Broglie wavelengths has me stumped. Any help on the correct equations to use or how to start this is greatly appreciated.
 
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  • #2
You've been given the energy.
Use it to find momentum.
& then calculate wavelength from the momentum.
 

1. What is de Broglie wavelength?

De Broglie wavelength is a concept in quantum mechanics that describes the wavelength of a particle. It is named after Louis de Broglie, who proposed that all particles, including electrons, have both wave-like and particle-like properties.

2. How is the de Broglie wavelength calculated?

The de Broglie wavelength for an electron is calculated using the equation λ = h/mv, where h is Planck's constant, m is the mass of the electron, and v is its velocity. This equation is based on the wave-particle duality principle, which states that all particles have both wave-like and particle-like properties.

3. Why is finding the de Broglie wavelength important?

Finding the de Broglie wavelength is important because it helps us understand the behavior of particles at the quantum level. It also allows us to make predictions about the behavior of particles and their interactions with other particles.

4. Can the de Broglie wavelength of an electron change?

Yes, the de Broglie wavelength of an electron can change depending on its velocity. As the velocity increases, the wavelength decreases, and vice versa. This is because the de Broglie wavelength is inversely proportional to the velocity of the particle.

5. What is the significance of the de Broglie wavelength for electrons in the study of quantum mechanics?

The de Broglie wavelength is significant in the study of quantum mechanics because it provides evidence for the wave-particle duality of particles. It also helps us understand the behavior of electrons in various phenomena, such as diffraction and interference, which are important in many areas of science and technology.

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