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MMLU-Pro / 9525 / Find the first five energyeigenvaluesfor a hydrogen atom. (An equation in which…

Problem

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question

Find the first five energyeigenvaluesfor a hydrogen atom. (An equation in which an operation on a function gives a constant times the function is called aneigenvalueequation. The function is called aneigenfunctionof the operator and the constant is called aneigenvalue. TheSchroedinger equation haseigenfunctionswhich are the possible spatial portions of the wave functions andeigenvalueswhich are the possible values of the energies involved.)

category

physics

options

  1. E_1 = -27.2eV, E_2 = -6.8eV, E_3 = -3.02eV, E_4 = -1.7eV, E_5 = -1.09eV
  2. E_1 = -8.1eV, E_2 = -2.025eV, E_3 = -0.9eV, E_4 = -0.51eV, E_5 = -0.32eV
  3. E_1 = -21.6eV, E_2 = -5.4eV, E_3 = -2.4eV, E_4 = -1.35eV, E_5 = -0.86eV
  4. E_1 = -17.0eV, E_2 = -4.25eV, E_3 = -1.89eV, E_4 = -1.13eV, E_5 = -0.72eV
  5. E_1 = -20.4eV, E_2 = -10.2eV, E_3 = -6.8eV, E_4 = -5.1eV, E_5 = -4.08eV
  6. E_1 = -10eV, E_2 = -5eV, E_3 = -3.33eV, E_4 = -2.5eV, E_5 = -2eV
  7. E_1 = -15eV, E_2 = -7.5eV, E_3 = -5eV, E_4 = -3.75eV, E_5 = -3eV
  8. E_1 = -6.8eV, E_2 = -1.7eV, E_3 = -0.76eV, E_4 = -0.43eV, E_5 = -0.27eV
  9. E_1 = -16.8eV, E_2 = -4.2eV, E_3 = -1.87eV, E_4 = -1.06eV, E_5 = -0.68eV
  10. E_1 = - 13.6eV, E_2 = -3.4eV, E_3 = -1.51eV, E_4 = -0.85eV, E_5 = -0.54eV

src

stemez-Physics

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Source and history

upstream_id / Original problem ID
9525
task_id
3ce65191-1b7a-5176-a4c1-718e705b9062
task_key
default--test--9525
task_revision_id
1
config / split
default / test

Official source

initial import