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Two quantum states with energies E1 and E2 have a lifetime of 10^-9 sec and 10^-8 sec, respectively. We want to clearly distinguish these two energy levels. Which one of the following options could be their energy difference so that they can be clearly resolved?
| 10^-4 eV | gpqa | gpqa | [
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trans-cinnamaldehyde was treated with methylmagnesium bromide, forming product 1.
1 was treated with pyridinium chlorochromate, forming product 2.
3 was treated with (dimethyl(oxo)-l6-sulfaneylidene)methane in DMSO at elevated temperature, forming product 3.
how many carbon atoms are there in product 3? | 11 | gpqa | gpqa | [
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] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 1, \"non_overlapping_spans\": 1, \"span_st(...TRUNCATED) | "[{\"evaluation_method\": \"legacy\", \"legacy_result\": true}, {\"evaluation_method\": \"legacy\", (...TRUNCATED) | [
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[
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[]
] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 3598, \"span_text\": \"B\",(...TRUNCATED) | "[[{\"evaluation_method\": \"legacy\", \"legacy_result\": true}], [{\"evaluation_method\": \"legacy\(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":1,"pass_at_n":1,"percent_correct":0.25,"total_re(...TRUNCATED) | 2025-11-20 |
"which of the following molecules has c3h symmetry?\ntriisopropyl borate\nquinuclidine\nbenzo[1,2-c:(...TRUNCATED) | triphenyleno[1,2-c:5,6-c':9,10-c'']trifuran-1,3,6,8,11,13-hexaone | gpqa | gpqa | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"choices\": {\"label\": [\"A\", \"B\", \"C\", \"D\"], \"text\": [\"triphenyleno[1,2-c:5,6-c':9,10(...TRUNCATED) | test | 0 | A | {"label":["A","B","C","D"],"text":["triphenyleno[1,2-c:5,6-c':9,10-c'']trifuran-1,3,6,8,11,13-hexaon(...TRUNCATED) | gpqa_8 | {} | "A) triphenyleno[1,2-c:5,6-c':9,10-c'']trifuran-1,3,6,8,11,13-hexaone\nB) benzo[1,2-c:3,4-c':5,6-c''(...TRUNCATED) | ["To determine which molecule has C3H symmetry, we need to understand what C3H symmetry means. C3H s(...TRUNCATED) | [
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[
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[
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] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2799, \"span_text\": \"B\",(...TRUNCATED) | "[[{\"evaluation_method\": \"legacy\", \"legacy_result\": false}], [{\"evaluation_method\": \"legacy(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"total_res(...TRUNCATED) | 2025-11-20 |
"Among the following exoplanets, which one has the highest density?\n\na) An Earth-mass and Earth-ra(...TRUNCATED) | c | gpqa | gpqa | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"choices\": {\"label\": [\"A\", \"B\", \"C\", \"D\"], \"text\": [\"a\", \"d\", \"c\", \"b\"]}, \"(...TRUNCATED) | test | 2 | C | {
"label": [
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"B",
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"text": [
"a",
"d",
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} | gpqa_9 | {} | A) a
B) d
C) c
D) b | ["To determine which exoplanet has the highest density, we need to compare the densities of the give(...TRUNCATED) | [
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[
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] | [
[
"C"
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[
"C"
],
[
"B"
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] | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1986, \"span_text\": \"C\",(...TRUNCATED) | "[[{\"evaluation_method\": \"legacy\", \"legacy_result\": true}], [{\"evaluation_method\": \"legacy\(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":2,"pass_at_n":1,"percent_correct":0.5,"total_res(...TRUNCATED) | 2025-11-20 |
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