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MMLU-Pro / 9576 / What is the theoretical limit on angular resolution for telescopes with…

Problem

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

question

What is the theoretical limit on angular resolution for telescopes with objective diameters of 100 mm, 1m, and 5m (\lambda = 550 nm)?

category

physics

options

  1. 5.71 × 10^-6rad for D = 100 mm, 5.71 × 10^-7rad for D = 1 m, 0.134 × 10^-7 rad for D = 5 m
  2. 6.71 × 10^-6rad for D = 100 mm, 6.71 × 10^-7rad for D = 1 m, 1.34 × 10^-7 rad for D = 5 m
  3. 5.00 × 10^-6rad for D = 100 mm, 5.00 × 10^-7rad for D = 1 m, 1.00 × 10^-7 rad for D = 5 m
  4. 4.00 × 10^-6rad for D = 100 mm, 4.00 × 10^-7rad for D = 1 m, 0.80 × 10^-7 rad for D = 5 m
  5. 6.71 × 10^-6rad for D = 200 mm, 6.71 × 10^-7rad for D = 2 m, 1.34 × 10^-7 rad for D = 10 m
  6. 7.50 × 10^-6rad for D = 100 mm, 7.50 × 10^-7rad for D = 1 m, 3.00 × 10^-7 rad for D = 5 m
  7. 6.00 × 10^-6rad for D = 100 mm, 6.00 × 10^-7rad for D = 1 m, 2.40 × 10^-7 rad for D = 5 m
  8. 7.71 × 10^-6rad for D = 100 mm, 7.71 × 10^-7rad for D = 1 m, 2.34 × 10^-7 rad for D = 5 m
  9. 7.00 × 10^-6rad for D = 100 mm, 7.00 × 10^-7rad for D = 1 m, 2.80 × 10^-7 rad for D = 5 m
  10. 8.00 × 10^-6rad for D = 100 mm, 8.00 × 10^-7rad for D = 1 m, 3.20 × 10^-7 rad for D = 5 m

src

stemez-Optics

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Source and history

upstream_id / Original problem ID
9576
task_id
8655e9d0-b0f4-528c-918b-42b89a820b5f
task_key
default--test--9576
task_revision_id
1
config / split
default / test

Official source

initial import