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Would an electron or neutron have a larger wavelength if they had the same kinetic energy?

Posted on September 1, 2022 by Author

Would an electron or neutron have a larger wavelength if they had the same kinetic energy?

An electron has the larger wavelength. Reason : de-Broglie wavelength in terms of kinetic energy is λ=h√2mEkα=1√m for the same kinetic energy.

When you double the kinetic energy of a particle how does the de Broglie wavelength change?

If you double the kinetic energy of a particle, how does the deBroglie wavelength change? Solution: λ = h/p, E = p2/(2m), p is proportional to √E, l is proportional to 1/√E. λ2/λ1 = √(E1/E2) = 1/√2.

Which of the following is correct a relation between Ke and wavelength?

Phase constant = 2π/wavelength.

Do larger particles have longer wavelengths?

The de Broglie hypothesis says the wavelength of a particle’s matter wave is inversely proportional to its momentum. Therefore the smaller mass and smaller momentum of the electron means that it has a longer wavelength.

Which of the following particles has longest wavelength if they have same speed?

electron
The mass of alpha particle = 6.65 × 10-27 kg; Among these four particles, the Lightest particle is an electron; ∴ Hence an electron will have the longest wavelength.

READ:   What is enumeration used for?

When kinetic energy is doubled what happens to momentum?

So, momentum is proportional to square root of kinetic energy. Thus, if kinetic energy is doubled, then momentum will become √2 times original momentum.

When the speed of a particle is doubled its kinetic energy will?

So when speed is doubled, Kinetic energy becomes 4 times.

What is the difference between de Broglie wavelength and normal wavelength?

The key difference between De Broglie wavelength and wavelength is that De Broglie wavelength describes the wave properties of a large particle, whereas wavelength describes the wave properties of waves. Therefore, we can measure it as the distance between consecutive corresponding points of the same phase on the wave.

What is the relation between kinetic energy and wavelength of a microscopic particle?

Relation :λ=hmυ (de Broglie’s relationship).

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