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How does de Broglie's hypothesis account for the fact that

Chapter 7, Problem 36P

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QUESTION:

How does de Broglie's hypothesis account for the fact that the energies of the electron in a hydrogen atom are quantized?

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QUESTION:

How does de Broglie's hypothesis account for the fact that the energies of the electron in a hydrogen atom are quantized?

ANSWER:

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De Broglie's hypothesis explains the behaviour of waves. Waves behave like particles whereas particles can behave like waves. De Broglie derived the equation in which the particle and wave properties are related:

Where,

 = The wavelength associated with a moving particle;

 = Planck's constant;

 = the mass of the particle and

 = the velocity of the moving particle.

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