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If travelling all same speeds, which of the following matter waves have the shortest wavelength?

Question

If travelling all same speeds, which of the following matter waves have the shortest wavelength?

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Solution

The question seems to be incomplete as it does not provide the options to choose from. However, in general, the wavelength of a matter wave (according to de Broglie's hypothesis) is inversely proportional to its momentum (λ = h/p, where h is Planck's constant and p is the momentum of the particle).

So, if all particles are traveling at the same speed, the particle with the greatest mass will have the shortest wavelength because it will have the greatest momentum (p=mv, where m is mass and v is velocity).

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