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MMLU-Pro / 3705 / TheRydberg- Ritz equation governing the spectral lines of hydrogen is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

TheRydberg- Ritz equation governing the spectral lines of hydrogen is (1/\lambda) = R [(1/n_1 ^2) - (1/n_2 ^2)], where R is the Rydberg constant, n_1 indexes the series under consideration (n_1 = 1 for the Lyman series, n_1 = 2 for theBalmerseries, n_1 = 3 for thePaschenseries), n_2 = n_1 + 1, n_1 + 2, n_1 + 3, . . . indexes the successive lines in a series, and \lambda is the wave- length of the line corresponding to index n_2. Thus, for the Lyman series, n_1 = 1 and the first two lines are 1215.56 \AA (n_2 = n_1 + 1 = 2) and 1025.83 \AA (n_2 = n_1 + 2 = 3). Using these two lines, calculate two separate values of the Rydberg constant. The actual value of this constant is R = 109678 cm^-1.

category

chemistry

options

  1. 109660 cm^-1 and 109680 cm^-1
  2. 109675 cm^-1 and 109685 cm^-1
  3. 109655 cm^-1 and 109695 cm^-1
  4. 109690 cm^-1 and 109670 cm^-1
  5. 109645 cm^-1 and 109675 cm^-1
  6. 109700 cm^-1 and 109680 cm^-1
  7. 109650 cm^-1 and 109700 cm^-1
  8. 109678 cm^-1 and 109688 cm^-1
  9. 109690 cm^-1 and 109660 cm^-1
  10. 109689 cm^-1 and 109667 cm^-1

src

stemez-Chemistry

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Source and history

upstream_id / Original problem ID
3705
task_id
87c0f799-f8dc-5664-9c80-2b6fc7b59e2c
task_key
default--test--3705
task_revision_id
1
config / split
default / test

Official source

initial import