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NEST2019PhysicsDual Nature of Matter

Ten electrons, each of mass m_e are confined to a one dimensional box of size L . Assume that the electrons are non-interacting, obey the Pauli exclusion principle and can be described by de Broglie waves. Define =h^2 / 8 m_e and U₀ to be the ground state energy. Then

Options

  1. Athe total energy of the first excited state is U₀+11 / L^2
  2. BU₀=110 / L^2
  3. Cthe energy level of the highest occupied state is 100 / L^2 .
  4. DThe total energy of the second excited state is U₀+22 / L^2

Correct answer

B. U₀=110 / L^2

Step-by-step solution

No solution available.

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