62 lines
3.6 KiB
YAML
62 lines
3.6 KiB
YAML
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dataset_name: college_physics
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description: The following are multiple choice questions (with answers) about college
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physics.
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fewshot_config:
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sampler: first_n
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samples:
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- question: 'A refracting telescope consists of two converging lenses separated by
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100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification
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of the telescope is
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(A) 4 (B) 5 (C) 6 (D) 20'
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target: Let's think step by step. In a refracting telescope, if both lenses are
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converging, the focus of both lenses must be between the two lenses, and thus
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the focal lengths of the two lenses must add up to their separation. Since the
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focal length of one lens is 20 cm, the focal length of the other must be 80
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cm. The magnification is the ratio of these two focal lengths, or 4. The answer
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is (A).
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- question: 'The muon decays with a characteristic lifetime of about 10^-6 second into
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an electron, a muon neutrino, and an electron antineutrino. The muon is forbidden
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from decaying into an electron and just a single neutrino by the law of conservation
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of
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(A) charge (B) mass (C) energy and momentum (D) lepton number'
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target: Let's think step by step. Lepton number must be conserved, meaning the
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total number of leptons minus the number of antileptons. If a muon decays into
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an electron and a single neutrino, the total lepton number would go from one
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to two, violating lepton number conservation. The answer is (D).
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- question: 'One end of a Nichrome wire of length 2L and cross-sectional area A is
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attached to an end of another Nichrome wire of length L and cross- sectional
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area 2A. If the free end of the longer wire is at an electric potential of 8.0
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volts, and the free end of the shorter wire is at an electric potential of 1.0
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volt, the potential at the junction of the two wires is most nearly equal to
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(A) 2.4 V (B) 3.3 V (C) 4.5 V (D) 5.7 V'
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target: Let's think step by step. This is a simple voltage divider problem, where
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the longer wire has a resistance four times that of the shorter end. So the
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voltage divider ratio is 1 / 5, meaning that the potential in the middle is
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1.0 V + (8.0 V - 1.0 V) * 1/5 = 2.4 V. The answer is (A).
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- question: 'A refracting telescope consists of two converging lenses separated by
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100 cm. The eye-piece lens has a focal length of 20 cm. The angular magnification
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of the telescope is
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(A) 4 (B) 5 (C) 6 (D) 20'
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target: Let's think step by step. In a refracting telescope, if both lenses are
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converging, the focus of both lenses must be between the two lenses, and thus
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the focal lengths of the two lenses must add up to their separation. Since the
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focal length of one lens is 20 cm, the focal length of the other must be 80
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cm. The magnification is the ratio of these two focal lengths, or 4. The answer
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is (A).
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- question: 'For which of the following thermodynamic processes is the increase in
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the internal energy of an ideal gas equal to the heat added to the gas?
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(A) Constant temperature (B) Constant volume (C) Constant pressure (D) Adiabatic'
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target: 'Let''s think step by step. Heat added to the gas can go into the gases
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internal energy or work done against an external force. However, if the volume
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of the gas container is constant, no work will be done (since work is pressure
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times change in volume). So, at constant volume, all of the heat goes into the
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internal energy. The answer is (B).'
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tag: mmlu_flan_cot_fewshot_stem
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include: _mmlu_flan_cot_fewshot_template_yaml
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task: mmlu_flan_cot_fewshot_college_physics
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