benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10083▌ posts · files
MMLU-Pro / 10083 / An achromatic prism combination is to be constructed of crown- and flint-glass…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
An achromatic prism combination is to be constructed of crown- and flint-glass components For light of wavelengths 6563 \AA, 5893 \AA, and 4861 \AA, the crown glass has relative indices of refraction of 1.5146, 1.5171, and 1.5233, respectively and the relative indices of refraction of the flint glass are 1.6224, 1.6272, 1.6385, respectively. The wavelengths of 6563 \AA, 5893 \AA, and 4861 \AA, correspond to red, yellow, and blue light, respectively. The crown-glass prism to be used has an angle of 10°. What must be the angle of the flint-glass prism?
category
physics
options
- 10 degrees
- 7.20 degrees
- 4.45 degrees
- 3.75 degrees
- 2.50 degrees
- 5.40 degrees
- 9.00 degrees
- 8.15 degrees
- 6.30 degrees
- 11.00 degrees
src
stemez-Optics
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Source and history
- upstream_id / Original problem ID
- 10083
- task_id
aa2a45d1-86c9-5419-a153-35b12a9a462c- task_key
default--test--10083- task_revision_id
- 1
- config / split
- default / test
initial import