conversations listlengths 2 2 | dataset_index stringlengths 1 3 | completion_tokens int64 922 32.2k |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. 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. Whic... | 0 | 6,834 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. trans-cinnamaldehyde was treated with methylmagnesium bromide, forming product 1.\n\n1 was treated with pyridinium chlorochromate, forming product 2.\n\n3 was tr... | 1 | 8,758 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. A spin-half particle is in a linear superposition 0.5|\\uparrow\\rangle+sqrt(3)/2|\\downarrow\\rangle of its spin-up and spin-down states. If |\\uparrow\\rangle ... | 2 | 10,060 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. In a parallel universe where a magnet can have an isolated North or South pole, Maxwell’s equations look different. But, specifically, which of those equations a... | 3 | 3,620 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. Calculate the eigenvector of a quantum mechanical operator $\\vec{P}$ for a muon along an arbitrary direction $\\vec{n}$ lying in the x-z plane corresponding to ... | 4 | 6,680 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. A quantum mechanical particle of mass m moves in two dimensions in the following potential, as a function of (r,θ): V (r, θ) = 1/2 kr^2 + 3/2 kr^2 cos^2(θ)\nFind... | 5 | 4,578 |
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"value": "Return your final response within \\boxed{} and only include the letter choice (A, B, C, or D) as your final response. The universe is filled with the Cosmic Microwave Background. Consider the annihilation of high energy \\gamma-rays with a photon from the CMB Radiation into elec... | 6 | 10,644 |
[{"from":"user","value":"Return your final response within \\boxed{} and only include the letter cho(...TRUNCATED) | 7 | 10,479 |
[{"from":"user","value":"Return your final response within \\boxed{} and only include the letter cho(...TRUNCATED) | 9 | 5,949 |
[{"from":"user","value":"Return your final response within \\boxed{} and only include the letter cho(...TRUNCATED) | 10 | 2,162 |
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