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MMLU-Pro / 3901 / The flux of visible photons reaching Earth from the North Star is about …

Problem

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

question

The flux of visible photons reaching Earth from the North Star is about $4 \times 10^3 \mathrm{~mm}^{-2} \mathrm{~s}^{-1}$. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent of the surviving photons are scattered by the surface of the cornea of the eye. A further 9 per cent are absorbed inside the cornea. The area of the pupil at night is about $40 \mathrm{~mm}^2$ and the response time of the eye is about $0.1 \mathrm{~s}$. Of the photons passing through the pupil, about 43 per cent are absorbed in the ocular medium. How many photons from the North Star are focused onto the retina in $0.1 \mathrm{~s}$ ?
Plain-text mathematical notation (without MathML)
The flux of visible photons reaching Earth from the North Star is about $4 \times 10^3 \mathrm{~mm}^{-2} \mathrm{~s}^{-1}$. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent of the surviving photons are scattered by the surface of the cornea of the eye. A further 9 per cent are absorbed inside the cornea. The area of the pupil at night is about $40 \mathrm{~mm}^2$ and the response time of the eye is about $0.1 \mathrm{~s}$. Of the photons passing through the pupil, about 43 per cent are absorbed in the ocular medium. How many photons from the North Star are focused onto the retina in $0.1 \mathrm{~s}$ ?
Original LaTeX notation
The flux of visible photons reaching Earth from the North Star is about $4 \times 10^3 \mathrm{~mm}^{-2} \mathrm{~s}^{-1}$. Of these photons, 30 per cent are absorbed or scattered by the atmosphere and 25 per cent of the surviving photons are scattered by the surface of the cornea of the eye. A further 9 per cent are absorbed inside the cornea. The area of the pupil at night is about $40 \mathrm{~mm}^2$ and the response time of the eye is about $0.1 \mathrm{~s}$. Of the photons passing through the pupil, about 43 per cent are absorbed in the ocular medium. How many photons from the North Star are focused onto the retina in $0.1 \mathrm{~s}$ ?

category

chemistry

options

  1. 7.2 $10^3$
  2. 2.5 $10^3$
  3. 6.1 $10^3$
  4. 4.4 $10^3$
  5. 5.8 $10^3$
  6. 6.6 $10^3$
  7. 1.8 $10^3$
  8. 3.6 $10^3$
  9. 3.2 $10^3$
  10. 4.9 $10^3$

src

scibench-matter

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Source and history

upstream_id / Original problem ID
3901
task_id
3e146e7e-d0d1-5892-bde9-e8d2787d26be
task_key
default--test--3901
task_revision_id
1
config / split
default / test

Official source

initial import