Which of the following graphs correcty represents the variation of particle momentum with associated de broglie wavelength?
Correct answer: D. D.
- A. A.
- B. B.
- C. C.
- D. D.
Explanation
Option D is correct.The inversely proportional graph correctly represents the variation of particle momentum with associated de Broglie wavelength. The de Broglie wavelength of a particle is given by the following equation: λ = h/p where: λ is the de Broglie wavelength h is Planck's constant p is the momentum of the particle This means that the wavelength is inversely proportional to the momentum. In other words, as the momentum of the particle increases, the wavelength decreases. The graph of momentum versus wavelength is therefore an inverse graph. Here is an example of an inverse graph of momentum versus wavelength: Momentum (p) is inversly proportional to Wavelength (λ) 10 p | 1/10 λ 20 p | 1/20 λ 30 p | 1/30 λ As you can see, as the momentum of the particle increases, the wavelength decreases. The inverse relationship between momentum and wavelength is a fundamental property of quantum mechanics. It is responsible for the wave-particle duality of matter, which is the property of matter to exhibit both wave-like and particle-like properties.
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Classical physics cannot explain blackbody radiation and related observations, leading to Planck’s quantum theory, in which energy is emitted or absorbed in discrete packets. Photons provide the particle model of light, with energy and momentum linked to frequency and wavelength, including the photoelectric effect and its threshold frequency.
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