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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--10191▌ posts · files
MMLU-Pro / 10191 / In a simple telescope, it is given that F, the focal length of the objective, =…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
In a simple telescope, it is given that F, the focal length of the objective, = 24 cm; f, the focal length of the eyepiece, = 4 cm; the aperture of the objective is equal to 2 cm; and the aperture of the eye lens is equal to 1 cm. Find: (a) where the eye (treated as a point) must be placed to see the greatest extent of a distant object; (b) the diameter of the eye ring; (c) the angular size of the largest object which can be seen, given that the eye is treated as a point and is located at the eye point. Solve part (c) using (i) magnifying power, and (ii) without using magnifying power.
category
physics
options
- 4 cm, (1 / 2) cm, 1 degree
- 4.5 cm, (3 / 4) cm, 1.2 degrees
- 3.5 cm, (2 / 3) cm, 2.5 degrees
- 6 cm, (2 / 3) cm, 3 degrees
- 6 cm, (1 / 2) cm, 4 degrees
- 4 cm, 1 cm, 1.5 degrees
- 5 cm, (1 / 4) cm, 2.5 degrees
- 4.67 cm, (1 / 3) cm, 2.04 degrees
- 5 cm, 1 cm, 2 degrees
- 5.5 cm, (5 / 6) cm, 3.5 degrees
src
stemez-Optics
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Source and history
- upstream_id / Original problem ID
- 10191
- task_id
747ef04f-ca23-5ff8-825b-9e672818ef49- task_key
default--test--10191- task_revision_id
- 1
- config / split
- default / test
initial import