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Question

Choose the correct statement
  1. Any uncharged particle in rest is accompanied by matter waves.
  2. Any charged particle in rest is accompanied by matter waves.
  3. The matter waves are waves of zero amplitude.
  4. The matter waves are waves of probability amplitude.

A
The matter waves are waves of zero amplitude.
B
The matter waves are waves of probability amplitude.
C
Any uncharged particle in rest is accompanied by matter waves.
D
Any charged particle in rest is accompanied by matter waves.
Solution
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Propagation of de Broglie waves in 1d real part of the complex amplitude is blue, imaginary part is green. The probability (shown as the colour opacity) of finding the particle at a given point x is spread out like a waveform, there is no definite position of the particle. As the amplitude increases above zero the curvature decreases, so the amplitude decreases again, and vice versa the result is an alternating amplitude: a wave. So, the matter waves are waves of probability amplitude

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