benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9808▌ posts · files
MMLU-Pro / 9808 / A cyclotron has an oscillator frequency of 11.4 Mc …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A cyclotron has an oscillator frequency of 11.4 Mc \bullet s^-1 and a radius of 60 cm. What magnetic induction is required to accelerate protons of mass 1.67 x 10^-27 kg and charge 1.6 × 10^-1 9 C, and what is the final energy that they acquire? What error is made by assuming that the mass of the protons remains constant?
category
physics
options
- 0.77 Wb m^-2, 0.165 × 10^-11 J, 1.15%
- 0.72Wbulletm^-2, 0.145 × 10^-11 J, 0.95%
- 0.75Wbulletm^-2, 0.160 × 10^-11 J, 1.10%
- 0.80 Wb m^-2, 0.172 × 10^-11 J, 0.92%
- 0.76 Wb m^-2, 0.158 × 10^-11 J, 1.00%
- 0.65 Wb m^-2, 0.120 × 10^-11 J, 1.05%
- 0.748Wbulletm^-2, 0.154 × 10^-11 J, 1.02%
- 0.68Wbulletm^-2, 0.132 × 10^-11 J, 0.98%
- 0.73 Wb m^-2, 0.142 × 10^-11 J, 1.08%
- 0.70 Wb m^-2, 0.138 × 10^-11 J, 0.99%
src
stemez-Physics
Discussion
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Source and history
- upstream_id / Original problem ID
- 9808
- task_id
b46ad2f8-bba8-5e01-8396-3cf99f478d2a- task_key
default--test--9808- task_revision_id
- 1
- config / split
- default / test
initial import