benchmarks.wiki / Public workspace
..······.......···········...........···:::::::::::::::···········::::::::::::::::::::::----=========--:::::·······.
........ ..............······::::::::·······························:::---:::::::::::------::::·····........
........·········............................. .···--------::::::············............
..··---------:::·······.........
..··--=====---::···..........
..··-===++===--:··....
..·:==++++++==-::·...
..·:=++*****++=-:··..
...·:=+**####*++=-:·... ..
..········... ........ . ...··:::::::···......··:=+*##%%##*+=--:·... ..........
..··::::::··. ..·::::::··... ..·:-==+*****+==-::······-=+*#%%%%%#*+=-:··........·······...
..··::::··. .·:-=+**++=-:··......·:-+*%@@@@@@@%*+=-:::::--=+*#%@@@@%#*+=-:··....···:::---::··..
..... ............······::::::---::::::::::················::::::::::::::::--==++*###%%###**++===++****+=-:·.
......····::::::::::::::····················..........·····::::::::---==+++*****+++==---==+++===-:·.
.........············....... ............... ···::::::::::---=========---::::-------:·.
.··::::::::::::::-------::::····:::::::··.
.··:::::::········::::::·····...········..
.··----:::··············.................
..··-----::···..............
..·:====--::··....
...::=====--::·...
...····... ......... ...···::::::···..........:::+++++==-:··..
..······.. .··::--:::··.. ..·::-=+******++=-::······:::+*****+==-:··.. ........
..····.. .·:-=+**++=-::·....··:-+*%@@@@@@@@%#*+=--::--==+**####*++=-:·... ....·······....
.....····::::----------::::::::·················:::::-----:::::---=++*#%@@@@@@@@@%##*****##%@@%#*+=-:·.
......····::::--------:::·····.........................··········:---==+**#%@@@@@@@%%#***++**#%@@%#*+=-:·.
.............·············..... ...... ....···::--==++*##%%@@%%##**++++++*#%@%#*+=-:·
..··:::---==++**#####**++======++*##**+=-·.
··:::::---==+++++++++==-------=++++==-:·.
··::::::::----=====---:::::::::-----::·..
··:::·····::::::::::::··········:::···..
..··:::·················.................
...··:::····............... ......
....... ....·..... . ...··········.... ...···-:::··....
...··.. ..·::----::··........·:--=++***++=--:··......····::=---::··.. .........
...··.. .·-=+****+=-::··..··:-=+#%@@@@@@@%#*+=-::··:::--=======-::·.. ......····.......
....····:::-----==------:::::::::··············:::---=======------==+*#%@@@@@@@@@@@%#*++=++**#@@@@@%#*+=:·.
.....·······::::--------:::····......................·····::::::::··:::=+*#%@@@@@@@@@@@%#**++++*#%@@@@@%#*+=:·.
..............············..... .............:::++*#%@@@@@@@@@@%##*+++**#%%@@@@%#*+=:·.
...::=+*##%@@@@@@@@@%#**++++**#%%@@@%#*+-:..
..·:==+**#%%@@@@@%%#**++===+++*##%%#*+=:·.
..··-==++**#######**++==----===++**++=-:·.
..··----==+++++++++==--:::::::---==--::·..
..··:::::-----------::··········:::::··...
··:·······:::::·····..........·······...
..... ...····.... .......·...... ··.·····.........................····....
....... .·::-----::··.. ..··::--===--::··.... .....······:···.... .............·····....
...... .·:-++****+=-:··....··:-=+*##%%##*+=-:···....···::-----::··... ....··············....
...·····:::-----===--------:::::::::::::···::::--==++*****++==------==+*#%@@@@@@@%#*+=-::::--=*#%@@@@@@%#+-:..
....·······:::::-----::::·······....··.........····:::--------:::::::::--#%@@@@@@@@@%#*+==---==+*%@@@@@@@%#+-·.
..............········...... .....................-==%@@@@@@@@@@%#*++===++*#%@@@@@@@%*=:·.
..·==%@@@@@@@@@@@%#*++++++**#%@@@@@@#+-:·.
.·-=%@@@@@@@@@@@%#*++===++**##%%%%#*=:·.
..--#%%@@@@@@@%%#*++=======+++****+=-:·.
..:-**##%%%%%##**+==---:::---======-:··..
..::=++++***+++==--:::·····::::----:::··..
...··-----------:::············::::::::···..
... ....····.... . ..... .....···::··············.....······::::::::···.
...... ..·::-----::·.. ...····:····... .....······..···..............··········::::::::···..
...... .·:-=+***++=-:·.. .··:--=====--::·.... ....··::::::::··... ....··::::::::::::::····....
....··::::---------------==========-----::---==+**##%%##*+=--:·····::-=+*##%%##*+=-:·.....·:-=*#%@@@@@@%#+-·..
.....·····::::::::::::::·····:::::::··········::---=======--::·······::-==%@@@@%%#*+=-::··::-=+*%@@@@@@@%*=:·.
...............................................··········..........··=++@@@@@@%#*+==-----=+*#%@@@@@@%#+-·.
···+*@@@@@@@@%#*+==-===++*#%%%%%#*+=:·.
··+*@@@@@@@@%#*++======++***#***+=-:..
··+*@@@@@@@@%#*+==------===++++==--:·..
··=+@@@@@%%##*+==--:::::-----===---::···..
··-=#####**++==--:::···:::::----====--::··.
...::======----:::·······::::----======--:·.
........... . ...........···::::::···········:::::::-----====--::·.
...... ..··::---::··.. ........... .....·········...··........····:::::-----::::::::::::··..
...... .·:-==+++==-:·.. ..··::::::··... ....··:::::::::··... ...··::---===---::···..........
..··::---------=====++***####**++==------==+*###%##**+-:·.. .·:-==++++==-:·.. ..·:=+#%@@@@@@%*+=:·.
....···::::::::::::::------------::::::::::--===++===-::·... ..··:--==##**+=-:··...··:-+*#%@@@@@%*+=:·
........................··...............··········.... ...···+++@%%#*+=-::::::-=+*##%%%%#*+-:·.
·::**@@@%#*+==------==++*****+=-:·.
::**@@@@%#*+==-------===+++==--:··..
::**@@@@%#*+==--:::::----====----:::·····..
·:++@@%##*+==--::::::::----======++===--:·..
··==#**++==--:::::::::----===+++**#**+=--:·.
...::===----:::::::::-----====++++***++=-:·.
........... . ..................···:::::::::::------------------===--::·..
...···:::::··... ........... ......·············..........···::--======---::·············..
.... ..··:--===--::·. ..·······..... ....··:::-----:::··... ..··:--===+===-::·.. .......
..·::------====++**#%%%@@%%##*+=--::::--==+*****++=:·. ..·:-====--:·.. ..·-=+#%@@@@@%#+=:·.
..···:::::::::---===++++++==--:::·····::---====--::·.. .··::-----+=-:··....··:-=+*#%%%%#*+-:.
.............···············...........·········... ...·····===*+=-::····::-==+****++=-:·.
:::++#*++=-:::::::--======--:··. ..
::*+%#*+=--:::·::::---------::::··::::::··.
::++%#*+=--:::··::::----=======+++*+++=--:·.
··==**+==--:::::::---===+++***###%%%#*+=-:.
··--+==------------====++++***###%%#*+=-:·.
...:·---------=================++++++=-::·.
............ . ....................... ...·::::--===++++===--:::·····:::-:::··.
...···::::···... .....................·····::::::····..... ...··::-==++++==-::·.. ..·····...
..·:::-----::·.. ...·······..........··::---====--::··.. ..··:--==+++=--:·. .··:::··.
.··:::-----==++*##%%@@%%#*+=-:··...··::-==++++=-:·. .·:-====--:··.. ..·:-=+*#%@%%#*+-:.
..···:::::::--===+++++++=--:···....···::------:··. ..·::------::::··...··::-=++***+=-:·.
..........······:::::····.............······.... ...·······--:-::······::---==---:··. ..···.
···--=-::·······::::--:::::·······::-----:··.
··--=-::········:::----======+++**#**++=-:·.
··--=--:::::::::--===+++***##%%%@@@%#*+-:·.
·.-:=---------====+++****###%%%@@@@#*+-:·.
..::=======+++++++++++++++++*******+=-:·.
...··--==++++**+++==---:::::::---===-::·.
.............. .......... · ....................... ..·:--==++++++==-:··.. ...··::-::··.
...··:::::···... .......................···:::::::::···... .·::-==++++=--:·. .·::---:··.
..·::----::··.. ..·········........···:--==+++==--:·.. .··:-==++==-::·. ..·:-===--:·.
...····:::-==+*#####*+=-:·.. ..·:-=====--:·. .·:-==+++==-::··.....·::-=+****+=-:·. ......
.....···:::--===+===--:··.. ..··::::-::··.. ..·::------::··.·.....··::------:··. .··::::·.
.......············.... .....··..... ...········..··.·.......···:::::····.....··::-=====--:·.
...·.·.......··::::------====++**##%#*+=-:·.
..··:······:::--==+++***###%%%@@@@@%*+=:·..
..:·-------===+++****###%%%@@@@@@%%*+-:·..
..::==+++++******+++++****#######**=-:·.
..::++********++==--------===++++==-:·.
...::++*****++=--:··......··::---==-:··.
....····............................ · .........·····...... .··-=+++++==-:·.. ..·:--===-:·..
..··::::::··.... ......·····...........···:::-----:::·... .·:-==++==-:··. .·:-==++=-:·.
..··::---::·.. ..··::::::::···.....··::-==+++++=-:··. .·:-=+++++=-:·. .·:-=+***+=-:·.
..·::-=+++++=-:·.. .·:--====--:·. .·:-=+***++=--:··.....···::----::·.. .·:--==--:·.
..··::-------:··.. ..··::::::··.. .··:--===--::··.. ...·········.........·::-=+**++=-:·.
....·······.... ........... ....·······.... ...···:::::-------==+++**####*+=-:·.
....···:::--===+++***###%%%%%%%%#*+=::·.
..··:----==++++***####%%%@@@@@%%##*=-:·..
..:-+++***************###%%%%##**+=-:·..
··-=#####***++====--===+++*****+==-:·.
.·-=####**+=--:·······::--==+++==-:·..
...--***++=--:·.. .··:--=====-:·..
.....···........ ............ .·.....········.... ·::++++=--:·. .·::-==++==-:·.
..··::::···.. ...···········.......···::------::··. .··==+++==-:·. .·:-==++++==:·.
..··:::··. .··:--=====--::··....··::--=====-::·. .·:=+*****+=-:·. .·:-=++***+=-·..
.·:--===--:·.. .·:-==++==-:·. .·:-=+*****+=-::·.. ...·······.... ..··:-=++***+=-:··.
..·:::::::··.. ..··::::::··.. ..·::------::··.. ...···::::::::::---==+++*****+==-:·.
....····.... ........... .....···...... .···::---===++++*****######***+=-:··..
··---===++++***####%%%%%%%##**+==-:··..
..--+*************####%%%%%##*++=-:··...
··==###***+++=====++***####**++=-::·...
··==##**+==-::::::--==++****++=--:·...
··==**+=--:·......··:--=++++++=-::·..
..·--++=-:··. .·:--=+++++=--:·..
.......... ....................:..·······.... ...---++=-:·. .·:-=+++++==-:·.
...··.... ..··::::-::::···......····:::::::·.. ..·::--**++=-·.. .·:-=+++++==-:·.
...... .·:-=+**##**+=-:·.. ...··::---::··. .·:-=**####*+-:·. .·:-=+++*++=-:·.
.·:--==--:·.. ..·:-==+++=-::·. ..·:-=++**++=--:·. ...············::::--==++++++++=-:··.
.··::::···.. ..··:::::::··.. ..··::::::::··... .··:::----======+++++++++++++===-:··..
.......... ........... ............. ···--====++++*****#####***+++==--::··...
...--++++++++****#########**++=--::··.....
··==***+++++++++**#######**+=--::··.......
··==*++==------==++**####**+=--:···........
··=-+==-::····::--=+**###**+=--:···........
··--=-::·......··:-=+******+=--:···........
···-:=-:·.. ..·:-=+*****+=--:··.........
.....·····....... ....:........ ...···---=-:·. .·:-=++****+=-::·..........
.··:--======-::·... ...·······.. .··:--===-+=-:·. .·:-=+****+=-:··... ......
.:-=*#%@@@%#*+-:·. .··::--::··. .·:-=+*#####*+-:·. .·:-=++**++=-:·.. ....
..·:----:·.. .·::-=++++==-:·.. ..·::-=====--::·.. ...···::::-----------============---:·..
..··:::··.. ...··:::::::··... ...···::::····............···----======+++++++++++===---::::··...
......... ........... ..........................:::====+++++*********++==--:::····....
···--++===++++***#####**++=--:····.......
··--+=======++***#####*++=--:····.·.......
··-:=--:::---=++*######*+==-:···········...
··::-::····::-=+**#####**+=-::············.
·.:·:··....··:-=+*##%%##*+=-::·····:::::··.
··.:·:·.. ..··:-=+*##%##*+=--:····:::::::··.
...··········... ..·..... ...·······::··.. .·:-=+*#####*+=--:····::::-:::·.
.·:-==++**++=-:·. ..·····... ..·:--=====-:::·. .·:-=+*####*+=-::·····:::--::·.
.·:-+*#%@@@%#*+-:. .··:--==--:··. ..·:-=+*#####*+-:·. .·:-=+*****+=-:···.···::::::·.
.··:::::·.. ..·:--==++==--:·.. ..··:::----:::···.........····::::-------------------------::::··..
..······... ....···::::···.... ....····························:---===============---::::·····...
......... ......... ................................:::======+++++++++==--:::···.......
...::--====+++*****++==-::···.........
..::----==++***##***+=--:··............
..··:::--==+**#####**+=-::··.....····....
..··:::::-=++*##%%##*++=-:··············..
..·.····::-=+*#%%%%%#*+=-::······::::::··..
...·.·..··:-=+*#%%%%%##*+=-::····::-----:··.
...··:::::::··.. ..·.. ..·········..·.......·:-=+*#%%@%%#*+=-:::··::-====--:·.
.··:-==++*++==-:·. ..·······.. .··:-==++===-:··... ..·:-+*#%%%%%#*+=--:::::--==+==--:.
...··:-=++*####*+=:·. .·:-=+++==-:··.. ..·:-=+*#%%##*+=:·.. ..·-=+*#%%%%#*+=-:::·::--=++++=-:·.
..···:···.......··::-------::··.. ...···::::::::::·············::::::::-------------------------:::···...
..······.............····...............···································---------------:::::::······....
....... ...........................................···---========---:::·····.......
...··--====++++===--::··........
..··--===+++*+++==-::··....
..··--==++******+==-:··.... ...
..··:--=+**####**+=--:··.............
..··:--=+*##%%%##*+=-::·........···....
.. ..::-=+*#%%%%%%#*+=-:··.....····:···..
..··::::::···.. .....· ..···::::····... ...·:-=+*#%%@@@%#*+=-::·······:::--::··.
...·:--=====--:·. .··::::···.. ..·:-==+++++==-:··...···:-=+#%%@@@@%#*+=-::····:::-===--:··.
.....·::--====--:·. ·:-=+++++=-:··.. ..··:=+*#%@@%%#*+=-:·....·::=+*#%@@@@%#*+=--::··::--=++++=-:·..
███╗ ███╗███╗ ███╗██╗ ██╗ ██╗ ██████╗ ██████╗ ██████╗
████╗ ████║████╗ ████║██║ ██║ ██║ ██╔══██╗██╔══██╗██╔═══██╗
██╔████╔██║██╔████╔██║██║ ██║ ██║█████╗██████╔╝██████╔╝██║ ██║
██║╚██╔╝██║██║╚██╔╝██║██║ ██║ ██║╚════╝██╔═══╝ ██╔══██╗██║ ██║
██║ ╚═╝ ██║██║ ╚═╝ ██║███████╗╚██████╔╝ ██║ ██║ ██║╚██████╔╝
╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--9146▌ posts · files
MMLU-Pro / 9146 / A neutron consists of one "up" quark of charge +2e/3 and two "down" quarks…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
A neutron consists of one "up" quark of charge and two "down" quarks each having charge . If we assume that the down quarks are
$2.6 \times 10^{-15} \mathrm{~m}$ apart inside the neutron, what is the magnitude of the electrostatic force between them?
Plain-text mathematical notation (without MathML)
A neutron consists of one "up" quark of charge +2e/3 and two "down" quarks each having charge −e/3. If we assume that the down quarks are $2.6 \times 10^{-15} \mathrm{~m}$ apart inside the neutron, what is the magnitude of the electrostatic force between them?
Original LaTeX notation
A neutron consists of one "up" quark of charge $+2 e / 3$ and two "down" quarks each having charge $-e / 3$. If we assume that the down quarks are $2.6 \times 10^{-15} \mathrm{~m}$ apart inside the neutron, what is the magnitude of the electrostatic force between them?
category
physics
options
- $1.9N$
- $2.8N$
- $2.5N$
- $3.8$$N$
- $3.2N$
- $4.3N$
- $4.6N$
- $6.3N$
- $5.1N$
- $0.9N$
src
scibench-fund
Discussion
No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
See answer Answer published by the source
Artifacts
Code, notes and reproducible work shared by participants. Files are served from a separate origin.
No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.
Source and history
- upstream_id / Original problem ID
- 9146
- task_id
11ada419-f154-552d-87a1-a4b4a95c6361- task_key
default--test--9146- task_revision_id
- 1
- config / split
- default / test
initial import