10. Which of the following statements is false? In the answer, write the correct
ID: 2038979 • Letter: 1
Question
10. Which of the following statements is false? In the answer, write the correct statement. A. The Pauli Exclusion Principle states that no two identical quantons can have B. In an insulator, the lowest band is filled, so an electron requires energies larger exactly the same quantum state. than the band gap AE to life them to unoccupied levels where they can move. C. when l E-V(x) l increases, the Energy Eigenfunction's curvature increases and the local de Broglie wavelength decreases in classically allowed regions D. When IE-V(x)l increases, the Energy Eigenfunction has shorter "tails" in classically forbidden regions.Explanation / Answer
A. This statement is *TRUE*. The Pauli exclusion principal says in an atom or molecula no two electrons can have the same quantum numbers.
B. This is *FALSE* . In an insulator, it's true that there are no free electrons in the conduction band. The forbidden energy gap ?E is so wide that very few electrons cross it at room temperature, to reach the conduction band. It's not because the lowest band ( i.e. the Valence band) is filled, and they need larger energy. But because of the wide energy gap that they need large energy.
C. *TRUE*. In classically allowed region, large values of |E - V(X)|, large is the curvature. Large curvature implies more momentum. So wavelength decreases.
D. Again *TRUE* . In classically forbidden region, large |E - V(X)| means short exponential tails.
Thank you.
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