Physics, asked by bhoomikabhai00, 7 months ago

what are matter waves derive an expression for deBroglies wavelength​

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Answered by samanthasarah062006
1

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Answered by harisreeps
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Answer:

Matter-wave is the wave associated with matter

The matter-wave is a superposition of a lot of waves, which constructively interfere where the matter present

Explanation:

  • Matter-wave is the wave associated with matter
  • The matter-wave is a superposition of a lot of waves, which constructively interfere where the matter present
  • When the matter is moving with velocity sometimes it acts as a particle or a wave

We have the condition for allowed orbits as the allowed orbits have  the circumference equal to the integral multiple of the wavelength, that is

2\pi r=nλ (equation 1)

also, angular momentum is L=r*p=nh/2\pi (equation 2)

from equation 1

r=\frac{n}{2\pi } λ

put the value in equation 2

\frac{n}{2\pi } λ *p=nh/2\pi

⇒ λ =h/p

where Planck's constant h=6.6*10^{-34}

p- the momentum of the particle (p=mv)

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