benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10193▌ posts · files
MMLU-Pro / 10193 / Suppose an individual wants to view his face as reflected from an ordinary hand…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Suppose an individual wants to view his face as reflected from an ordinary hand magnifying (concave) mirror. Let the mirror be 20 cm from the individual's face. He wishes to have an image 40 cm from the mirror. What should be the radius of curvature and the focal length of the mir-ror? What is the magnification of the image?
category
physics
options
- Radius of curvature: 160 cm, Focal length: 80 cm, Magnification: 2.5
- Radius of curvature: 80 cm, Focal length: 20 cm, Magnification: 2
- Radius of curvature: 100 cm, Focal length: 50 cm, Magnification: 1.5
- Radius of curvature: 80 cm, Focal length: 40 cm, Magnification: 3
- Radius of curvature: 40 cm, Focal length: 20 cm, Magnification: -1
- Radius of curvature: 60 cm, Focal length: 40 cm, Magnification: 2
- Radius of curvature: 30 cm, Focal length: 15 cm, Magnification: 3
- Radius of curvature: 80 cm, Focal length: 40 cm, Magnification: 2
- Radius of curvature: 60 cm, Focal length: 30 cm, Magnification: -2
- Radius of curvature: 120 cm, Focal length: 60 cm, Magnification: 0.5
src
stemez-Optics
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Source and history
- upstream_id / Original problem ID
- 10193
- task_id
7ce53263-1ae6-5e3c-847f-337650d4aa2e- task_key
default--test--10193- task_revision_id
- 1
- config / split
- default / test
initial import