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MMLU-Pro / 9669 / A thin lens of 50 mm focal length has a diameter of 4 cm. A stop with a circular…

Problem

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question

A thin lens of 50 mm focal length has a diameter of 4 cm. A stop with a circular opening of 2 cm is placed 3 cm to the left of the lens, and an axial point object is located 20 cm to the left of the stop. 1) Which of the two, the aperture stop or the lens aperture, limits the light passing through the system? 2) What is the effective f-number of the system? 3) At what distance from the lens is the exit pupil located?

category

physics

options

  1. The lens aperture limits the light, the effective f-number is 2.5, and the exit pupil is 6 cm from the lens
  2. The lens aperture limits the light, the effective f-number is 3, and the exit pupil is 10 cm from the lens
  3. The lens aperture limits the light, the effective f-number is 4, and the exit pupil is 5 cm from the lens
  4. The lens aperture limits the light, the effective f-number is 2.78, and the exit pupil is 7.5 cm from the lens
  5. The aperture stop limits the light, the effective f-number is 3.5, and the exit pupil is 8 cm from the lens
  6. The aperture stop limits the light, the effective f-number is 3, and the exit pupil is 10 cm from the lens
  7. The aperture stop limits the light, the effective f-number is 2.78, and the exit pupil is 7.5 cm from the lens
  8. The aperture stop limits the light, the effective f-number is 4, and the exit pupil is 5 cm from the lens
  9. The aperture stop limits the light, the effective f-number is 1.25, and the exit pupil is 4 cm from the lens
  10. The lens aperture limits the light, the effective f-number is 1.25, and the exit pupil is 6 cm from the lens

src

stemez-Optics

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Source and history

upstream_id / Original problem ID
9669
task_id
581a0279-318a-5715-a65f-067f3f7e0ad6
task_key
default--test--9669
task_revision_id
1
config / split
default / test

Official source

initial import