Variational Method MCQ

Test your knowledge with important Variational Method MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Variational Method MCQs at Bissoy

• Can the variational method be used to calculate energy states when there has been a disturbance to the system?
  ক

  Yes, because the new Hamiltonian and wavefunctions should account for these disturbances

  খ

  No, the disturbance will not change the energy levels

  গ

  No, because new iterated functions rely on previous functions that do not include these disturbances

  ঘ

  Yes, because the disturbances will not change the energy levels
• If a trial wavefunction has been changed once, and the new variational integral is larger than the previous one, what should one do to proceed?
  ক

  Keep changing the wavefunction in the same way

  খ

  Change the wavefunction in a different way

  গ

  Keep iterating both the wavefunction, as well as the variation integral until the calculated ground state energy matches the true ground state energy

  ঘ

  Choose a different trial wavefunction
• If a trial wavefunction has been changed once, and the new variational integral is smaller than the previous one, what should one do to proceed?
  ক

  Keep changing the wavefunction in the same way

  খ

  Change the wavefunction in a different way

  গ

  Keep iterating both the wavefunction, as well as the variation integral until the calculated ground state energy matches the true ground state energy

  ঘ

  Choose a different trial wavefunction
• How is the total angular momentum of a system J described in terms of spin angular momentum S and orbital angular momentum L?
  ক

  J = L

  খ

  J = L+S

  গ

  J = 2πL + SBe\(^{-\frac{\hbar^2}{2}}\)

  ঘ

  J = S2L
• What is the total Hamiltonian for a particle in motion with initial Hamiltonian H0, and then experiencing a magnetic field of strength B?
  ক

  H0 + \(\frac{eB}{2m_e}\)Lz

  খ

  H0

  গ

  0

  ঘ

  \(\frac{eB}{2m_e}\)Lz
• The variational method is given by ∫ φ* Hφ dτ ≥ Egs. What Egs signify?
  ক

  True ground state energy

  খ

  Energy level lower than the state of given wavefunction

  গ

  Highest possible energy state for given wavefunction

  ঘ

  Hamiltonian operator