benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9987▌ posts · files
MMLU-Pro / 9987 / The wavelengths of the sodium D lines are 589.593 m…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The wavelengths of the sodium D lines are 589.593 m\mu and 588.996 m\mu. (a) What is the order minimum number of lines a grating must have in order to resolve these lines in the first order spectrum? (b) How large a prism is needed to resolve these lines, if the Rate of change of index with wavelength, at a wavelength of 589 m\mu, is 5.30 × 10^-5 permillimicron?
category
physics
options
- 987 lines, 1.87 cm
- 986 lines, 1.86 cm
- 990 lines, 1.90 cm
- 989 lines, 1.89 cm
- 985 lines, 1.85 cm
- 999 lines, 1.99 cm
- 984 lines, 1.84 cm
- 982 lines, 1.82 cm
- 988 lines, 1.88 cm
- 1000 lines, 2.00 cm
src
stemez-Optics
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Source and history
- upstream_id / Original problem ID
- 9987
- task_id
a5acbdc8-a0e7-5838-ac8c-9c39596f7b58- task_key
default--test--9987- task_revision_id
- 1
- config / split
- default / test
initial import