Wave Functions in Quantum Mechanics

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Questions and Answers

What is the property of the wave function ψ0(x) with respect to x?

  • ψ0(x) = ψ0(-x) (correct)
  • ψ0(x) = 1/x
  • ψ0(x) = -ψ0(-x)
  • ψ0(x) = 0

What is the relationship between ψ0(x) and ψ∗0(x)?

  • ψ0(x) = 2ψ∗0(x)
  • ψ0(x) = ψ∗0(-x)
  • ψ0(x) = -ψ∗0(x)
  • ψ0(x) = ψ∗0(x) (correct)

How is the wave function ψ1(x) related to ψ0(x)?

  • ψ1(x) = ψ0(x) + N
  • ψ1(x) = N ∫ψ0(x) dx
  • ψ1(x) = ψ0(x) / N
  • ψ1(x) = N dψ0/dx (correct)

What is the physical significance of the wave function ψ0(x)?

<p>It represents a stationary state of a system. (A)</p>
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What is the purpose of the normalization constant N in the definition of ψ1(x)?

<p>To ensure that ψ1(x) is normalized. (C)</p>
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What is the typical order of magnitude of the wavelength of high-speed electrons?

<p>10-14 m (B)</p>
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What is the wavelength range of high-speed electrons compared to the size of an atom?

<p>Much smaller (B)</p>
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Which of the following is a characteristic of high-speed electrons?

<p>Short wavelength (C)</p>
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What is the significance of the wavelength of high-speed electrons?

<p>Determines their energy (C)</p>
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What can be inferred about the behavior of high-speed electrons?

<p>They exhibit wave-like properties (B)</p>
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