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MMLU-Pro / 9584 / The atomic weight of hydrogen is 1.0082, and of deuterium 2.01445. Compute the…

Problem

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question

The atomic weight of hydrogen is 1.0082, and of deuterium 2.01445. Compute the separation in wave number and wavelength of the first two lines of the isotopes in theBalmer series.

category

physics

options

  1. \DeltaƲ_lpha= 6.14 cm- 1, \DeltaƲ_eta= 7.59 cm- 1, \Delta\lambda_lpha= 0.79 A°, \Delta\lambda_eta= 0.32 A°
  2. Δν_alpha= 1.14 cm^-1, Δν_beta= 2.59 cm^-1, Δλ_alpha= 3.29 Å, Δλ_beta= 2.82 Å
  3. Δν_alpha= 7.14 cm^-1, Δν_beta= 8.59 cm^-1, Δλ_alpha= 0.89 Å, Δλ_beta= 0.42 Å
  4. \DeltaƲ_lpha= 4.14 cm- 1, \DeltaƲ_eta= 5.59 cm- 1, \Delta\lambda_lpha= 1.79 A°, \Delta\lambda_eta= 1.32 A°
  5. \DeltaƲ_lpha= 2.14 cm- 1, \DeltaƲ_eta= 3.59 cm- 1, \Delta\lambda_lpha= 2.79 A°, \Delta\lambda_eta= 2.32 A°
  6. Δν_alpha= 6.54 cm^-1, Δν_beta= 7.99 cm^-1, Δλ_alpha= 0.69 Å, Δλ_beta= 0.52 Å
  7. \DeltaƲ_lpha= 5.14 cm- 1, \DeltaƲ_eta= 6.59 cm- 1, \Delta\lambda_lpha= 1.29 A°, \Delta\lambda_eta= 1.82 A°
  8. Δν_alpha= 5.54 cm^-1, Δν_beta= 6.99 cm^-1, Δλ_alpha= 1.09 Å, Δλ_beta= 1.52 Å
  9. Δν_alpha= 4.54 cm^-1, Δν_beta= 5.99 cm^-1, Δλ_alpha= 1.49 Å, Δλ_beta= 1.22 Å
  10. Δν_alpha= 3.14 cm^-1, Δν_beta= 4.59 cm^-1, Δλ_alpha= 2.29 Å, Δλ_beta= 1.92 Å

src

stemez-Optics

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Source and history

upstream_id / Original problem ID
9584
task_id
b28f5179-92b3-5616-948b-50f9f32a0e86
task_key
default--test--9584
task_revision_id
1
config / split
default / test

Official source

initial import