benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 9160 / Using flint-glass and crown-glass prisms with dispersive powers .031 and .018,…

Problem

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

question

Using flint-glass and crown-glass prisms with dispersive powers .031 and .018, respectively, a direct-vision prism is to be designed such that\delta_D=\delta_D', where\delta_Dand\delta_D' represent the mean angles of deviation of the crown-glass and flint-glass prisms, respectively. (a) If the apex angle of the flint-glass prism, A', is 10.0°, find the apex angle of the crown-glass prism, A. (b) Find the net dispersion of the direct-vision prism. (The indices of refraction of the crown-glass and flint-glass prisms are 1.508 and 1.620, respectively.)

category

physics

options

  1. Apex angle of the crown-glass prism is 15.0 degrees and net dispersion of the direct-vision prism is 0.051 degrees
  2. Apex angle of the crown-glass prism is 10.8 degrees and net dispersion of the direct-vision prism is 0.111 degrees
  3. Apex angle of the crown-glass prism is 17.3 degrees and net dispersion of the direct-vision prism is 0.031 degrees
  4. Apex angle of the crown-glass prism is 12.2 degrees and net dispersion of the direct-vision prism is 0.081 degrees
  5. Apex angle of the crown-glass prism is 8.2 degrees and net dispersion of the direct-vision prism is 0.121 degrees
  6. Apex angle of the crown-glass prism is 14.2 degrees and net dispersion of the direct-vision prism is 0.061 degrees
  7. Apex angle of the crown-glass prism is 11.2 degrees and net dispersion of the direct-vision prism is 0.091 degrees
  8. Apex angle of the crown-glass prism is 9.5 degrees and net dispersion of the direct-vision prism is 0.101 degrees
  9. Apex angle of the crown-glass prism is 13.2 degrees and net dispersion of the direct-vision prism is 0.071 degrees
  10. Apex angle of the crown-glass prism is 16.5 degrees and net dispersion of the direct-vision prism is 0.041 degrees

src

stemez-Optics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
9160
task_id
7285839e-8b28-5b51-8e2b-7d75041c6f2a
task_key
default--test--9160
task_revision_id
1
config / split
default / test

Official source

initial import