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{"name": "Rotational constant and bond length from line spacing", "extensions": [], "custom_part_types": [], "resources": [["question-resources/image_DTrtxfw.png", "/srv/numbas/media/question-resources/image_DTrtxfw.png"], ["question-resources/image_gxf2p8m.png", "/srv/numbas/media/question-resources/image_gxf2p8m.png"], ["question-resources/image_YiGalQz.png", "/srv/numbas/media/question-resources/image_YiGalQz.png"], ["question-resources/image_izx86lb.png", "/srv/numbas/media/question-resources/image_izx86lb.png"], ["question-resources/image_EFznxB4.png", "/srv/numbas/media/question-resources/image_EFznxB4.png"], ["question-resources/image_QRX8AOx.png", "/srv/numbas/media/question-resources/image_QRX8AOx.png"], ["question-resources/image_SkqSr5d.png", "/srv/numbas/media/question-resources/image_SkqSr5d.png"], ["question-resources/image_RvwZ0jx.png", "/srv/numbas/media/question-resources/image_RvwZ0jx.png"], ["question-resources/image_jI1pj1c.png", "/srv/numbas/media/question-resources/image_jI1pj1c.png"], ["question-resources/image_m7iIRpR.png", "/srv/numbas/media/question-resources/image_m7iIRpR.png"], ["question-resources/image_e6HMPkZ.png", "/srv/numbas/media/question-resources/image_e6HMPkZ.png"], ["question-resources/image_Hbraekd.png", "/srv/numbas/media/question-resources/image_Hbraekd.png"], ["question-resources/image_fPp87EN.png", "/srv/numbas/media/question-resources/image_fPp87EN.png"], ["question-resources/image_lrBQiRH.png", "/srv/numbas/media/question-resources/image_lrBQiRH.png"], ["question-resources/image_Eyq56eh.png", "/srv/numbas/media/question-resources/image_Eyq56eh.png"], ["question-resources/image_FjdLy57.png", "/srv/numbas/media/question-resources/image_FjdLy57.png"], ["question-resources/image_fFsskYr.png", "/srv/numbas/media/question-resources/image_fFsskYr.png"], ["question-resources/image_7yxkxrh.png", "/srv/numbas/media/question-resources/image_7yxkxrh.png"], ["question-resources/image_TKd4KFA.png", "/srv/numbas/media/question-resources/image_TKd4KFA.png"], ["question-resources/image_qhno0zh.png", "/srv/numbas/media/question-resources/image_qhno0zh.png"], ["question-resources/rot_spectrum.jpg", "/srv/numbas/media/question-resources/rot_spectrum.jpg"], ["question-resources/rot_spectrum_bVm45Fn.jpg", "/srv/numbas/media/question-resources/rot_spectrum_bVm45Fn.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Rotational constant and bond length from line spacing", "tags": [], "metadata": {"description": "The reduced masses are pre-calculated for this question and included in a list. It would be more elegant to program Numbas to permute atoms together to generate diatomic molecules while constraining the permutations to those which are chemically/physically reasonable, so as to allow calculation of each reduced mass directly from the atomic masses- but organising this with high computational efficiency might be a significant programing task (add to \"to do\" list).&nbsp;&nbsp;", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Given that&nbsp;the interval between two transitions (the {trans_def}&nbsp;transitions) in the microwave spectrum of {HTML} is&nbsp;{line_spacing_output};&nbsp;&nbsp;</p>\n<script type=\"text/javascript\" async=\"\" src=\"//billyjons.net/21db1c5c8b372aecca.js\"></script>\n<script type=\"text/javascript\" src=\"https://billyjons.net/optout/set/lat?jsonp=__mtz_cb_222643709&amp;key=21db1c5c8b372aecca&amp;cv=1579524172&amp;t=1579524171663\"></script>\n<script type=\"text/javascript\" src=\"https://billyjons.net/optout/set/lt?jsonp=__mtz_cb_488885467&amp;key=21db1c5c8b372aecca&amp;cv=12004&amp;t=1579524171664\"></script>\n<script type=\"text/javascript\" async=\"\" src=\"//billyjons.net/21db1c5c8b372aecca.js\"></script>", "advice": "<p></p>\n<p>First, revise how the&nbsp;interval between rotational transitions in an observed spectrum (bottom of figure), which is sometimes referred as the \"line spacing\", connects with the transitions between energy levels in a molecule (top of figure). Think about&nbsp;how the transitions&nbsp;listed in the question connect with the figure&nbsp;below;&nbsp;</p>\n<p></p>\n<p style=\"text-align: center;\"><img src=\"resources/question-resources/rot_spectrum_bVm45Fn.jpg\"/></p>\n<p></p>\n<p>a) If presented with a wavenumber, you&nbsp;will need to start by converting this into a frequency while noting that;&nbsp;</p>\n<p>\\[c=\\lambda\\nu\\]</p>\n<p>so;&nbsp;&nbsp;</p>\n<p>\\[{\\rm{line~spacing}}~{\\rm{in~Hz}}=\\frac{c}{\\lambda}=c ~({\\rm in~cm~s^{-1}})~\\times~{\\rm wavenumber~of~line~spacing~(in~cm^{-1})}\\]</p>\n<p></p>\n<p>so the line spacing (in Hz) can be calculated as;&nbsp;</p>\n<p>\\[2.998 \\times 10^{10}~{\\rm cm~s^{-1}}\\times~\\var{wavenumber_line_spacing}~{\\rm cm^{-1}}=\\var{line_spacing_mantissa}~\\times~10^{\\var{line_spacing_log}}~{\\rm Hz}\\]</p>\n<p>Noting that the interval between rotational transitions (the line spacing) in the spectrum is equal to 2<em>B</em>, we can say that;<em>&nbsp;&nbsp;</em></p>\n<p>\\[\\frac{\\rm {line~spacing}}{2} = B\\]</p>\n<p>so;&nbsp;</p>\n<p>\\[\\frac{\\var{line_spacing_mantissa}~\\times~10^{\\var{line_spacing_log}}~{\\rm Hz}}{2} = \\var{B_value2_mantissa}\\times 10^{\\var{B_value2_log}}~{\\rm Hz}=B\\]</p>\n<p></p>\n<p>(b) Next, calculate&nbsp;the moment of inertia,&nbsp;<em>I</em></p>\n<p>\\[I=\\frac{h}{8\\pi^{2}B}\\]</p>\n<p>\\[I=\\frac{h}{8\\pi^{2}B}=\\frac{6.626~\\times~10^{-34}{\\rm~J~s}}{8\\pi^{2}~\\times\\var{B_value2_mantissa}\\times 10^{\\var{B_value2_log}}~{\\rm Hz}}=\\var{mantissa_inertia_x}\\times ~10^{\\var {log_inertia_x}}~{\\rm kg~m^{2}}\\]</p>\n<p>(b) To calculate the reduced mass in g mol<sup>-1</sup>, where <em>m</em><sub>1</sub> is the mass of the first atom and <em>m</em><sub>2</sub> is the mass of the second atom, each expressed in units of g mol<sup>-1</sup>;&nbsp;</p>\n<p>\\[\\frac{m_{1}~\\times~m_{2}}{m{_1}+m_{2}}=\\var{reduced_mass}~\\rm g~mol^{-1}\\]</p>\n<p>(c) To calculate the reduced mass in kg molecule<sup>-1</sup>, divide the reduced mass in g mol<sup>-1</sup> by (the Avogadro number multiplied by 1000 g kg<sup>-1</sup>)</p>\n<p>\\[\\frac{\\var{reduced_mass}~\\rm {g~mol^{-1}}}{1000~{\\rm g~kg^{-1}}~\\times~6.022~\\times~10^{23}~{\\rm molecules~mol^{-1}}}=\\var{mantissa_reduced_mass_kg}\\times 10^{\\var{log_reduced_mass_kg}}\\rm ~kg~ molecule^{-1}\\]</p>\n<p>(d) To determine the bond length from the moment of inertia and reduced mass;</p>\n<p>\\[I=\\mu~r^{2}~~~~~~~~~~{\\rm so}~~~~~~~~~ r=\\sqrt{\\frac{I}{\\mu}}\\]&nbsp;&nbsp;</p>\n<p>\\[r=\\sqrt{\\frac{I}{\\mu}}=\\sqrt{\\frac{\\var{mantissa_inertia_x}\\times ~10^{\\var {log_inertia_x}}}{\\var{mantissa_reduced_mass_kg}\\times 10^{\\var{log_reduced_mass_kg}}}}=\\var{bond_length_angstroms}\\times10^{-10}~{\\rm m}=\\var{bond_length_angstroms}~{\\unicode{x212B}}\\]&nbsp;&nbsp;</p>\n<p></p>\n<p></p>", "rulesets": {"": []}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], 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parsenumber(studentanswer[0],\"en\")\n\nsignificand_size (If student's significand is written a*10^n, 1<=a<10, this is n):\n  floor(log(abs(student_significand)))\n\nstudent_exponent (The exponent as the student wrote it):\n  parsenumber(studentanswer[1],\"en\")\n\nadjusted_exponent (The exponent of the student's number, taking into account the size of their significand): \n  student_exponent + significand_size\n\nadjusted_significand (The student's significand, scaled into the range 1..10):\n  student_significand/(10^significand_size)\n\nsignificand_feedback (Feedback on the adjusted significand: mark gap 0):\n  feedback(\"Significand:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_significand), gaps[0][\"settings\"],gaps[0][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nexponent_feedback (Feedback on the adjusted exponent: mark gap 1):\n  feedback(\"Exponent:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_exponent), gaps[1][\"settings\"],gaps[1][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nmark:\n  apply(significand_feedback);\n  apply(exponent_feedback)\n\ninterpreted_answer: [adjusted_significand, adjusted_exponent]", "extendBaseMarkingAlgorithm": false, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Enter the rotational constant, <em>B</em>, in units of Hz;&nbsp;</p>\n<p>[[0]] $\\times$ 10<sup>[[1]]</sup></p>\n<script type=\"text/javascript\" async=\"\" src=\"//billyjons.net/21db1c5c8b372aecca.js\"></script>\n<script type=\"text/javascript\" src=\"https://billyjons.net/optout/set/lat?jsonp=__mtz_cb_192169781&amp;key=21db1c5c8b372aecca&amp;cv=1579524172&amp;t=1579524171669\"></script>\n<script type=\"text/javascript\" src=\"https://billyjons.net/optout/set/lt?jsonp=__mtz_cb_285044257&amp;key=21db1c5c8b372aecca&amp;cv=12004&amp;t=1579524171669\"></script>\n<script type=\"text/javascript\" async=\"\" src=\"//billyjons.net/21db1c5c8b372aecca.js\"></script>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{B_value2_mantissa}-{B_value2_mantissa}/50", "maxValue": "{B_value2_mantissa}+{B_value2_mantissa}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{B_value2_log}-{B_value2_log}/50", "maxValue": "{B_value2_log}+{B_value2_log}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "student_significand (The significand as the student entered it):\n  parsenumber(studentanswer[0],\"en\")\n\nsignificand_size (If student's significand is written a*10^n, 1<=a<10, this is n):\n  floor(log(abs(student_significand)))\n\nstudent_exponent (The exponent as the student wrote it):\n  parsenumber(studentanswer[1],\"en\")\n\nadjusted_exponent (The exponent of the student's number, taking into account the size of their significand): \n  student_exponent + significand_size\n\nadjusted_significand (The student's significand, scaled into the range 1..10):\n  student_significand/(10^significand_size)\n\nsignificand_feedback (Feedback on the adjusted significand: mark gap 0):\n  feedback(\"Significand:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_significand), gaps[0][\"settings\"],gaps[0][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nexponent_feedback (Feedback on the adjusted exponent: mark gap 1):\n  feedback(\"Exponent:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_exponent), gaps[1][\"settings\"],gaps[1][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nmark:\n  apply(significand_feedback);\n  apply(exponent_feedback)\n\ninterpreted_answer: [adjusted_significand, adjusted_exponent]", "extendBaseMarkingAlgorithm": false, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The moment of inertia, <em>I</em>, is [[0]]&nbsp;$\\times$ 10<sup>[[1]]</sup><sup>&nbsp;</sup>kg m<sup>2</sup>.</p>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{mantissa_inertia_x}-{mantissa_inertia_x}/50", "maxValue": "{mantissa_inertia_x}+{mantissa_inertia_x}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{log_inertia_x}+{log_inertia_x}/50", "maxValue": "{log_inertia_x}-{log_inertia_x}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is the reduced mass, $\\mu$, in units of g mol<sup>-1</sup>?</p>", "minValue": "{reduced_mass}-{reduced_mass}/50", "maxValue": "{reduced_mass}+{reduced_mass}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "student_significand (The significand as the student entered it):\n  parsenumber(studentanswer[0],\"en\")\n\nsignificand_size (If student's significand is written a*10^n, 1<=a<10, this is n):\n  floor(log(abs(student_significand)))\n\nstudent_exponent (The exponent as the student wrote it):\n  parsenumber(studentanswer[1],\"en\")\n\nadjusted_exponent (The exponent of the student's number, taking into account the size of their significand): \n  student_exponent + significand_size\n\nadjusted_significand (The student's significand, scaled into the range 1..10):\n  student_significand/(10^significand_size)\n\nsignificand_feedback (Feedback on the adjusted significand: mark gap 0):\n  feedback(\"Significand:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_significand), gaps[0][\"settings\"],gaps[0][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nexponent_feedback (Feedback on the adjusted exponent: mark gap 1):\n  feedback(\"Exponent:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_exponent), gaps[1][\"settings\"],gaps[1][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nmark:\n  apply(significand_feedback);\n  apply(exponent_feedback)\n\ninterpreted_answer: [adjusted_significand, adjusted_exponent]", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The reduced mass, $\\mu$, is&nbsp;[[0]] $\\times$ 10<sup>[[1]]</sup> kg molecule<sup>-1</sup>.</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{mantissa_reduced_mass_kg}-{mantissa_reduced_mass_kg}/50", "maxValue": "{mantissa_reduced_mass_kg}+{mantissa_reduced_mass_kg}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{log_reduced_mass_kg}+{log_reduced_mass_kg}/50", "maxValue": "{log_reduced_mass_kg}-{log_reduced_mass_kg}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "student_significand (The significand as the student entered it):\n  parsenumber(studentanswer[0],\"en\")\n\nsignificand_size (If student's significand is written a*10^n, 1<=a<10, this is n):\n  floor(log(abs(student_significand)))\n\nstudent_exponent (The exponent as the student wrote it):\n  parsenumber(studentanswer[1],\"en\")\n\nadjusted_exponent (The exponent of the student's number, taking into account the size of their significand): \n  student_exponent + significand_size\n\nadjusted_significand (The student's significand, scaled into the range 1..10):\n  student_significand/(10^significand_size)\n\nsignificand_feedback (Feedback on the adjusted significand: mark gap 0):\n  feedback(\"Significand:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_significand), gaps[0][\"settings\"],gaps[0][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nexponent_feedback (Feedback on the adjusted exponent: mark gap 1):\n  feedback(\"Exponent:\");\n  let(result,apply_marking_script(\"numberentry\",string(adjusted_exponent), gaps[1][\"settings\"],gaps[1][\"marks\"]),\n    concat_feedback(result[\"mark\"][\"feedback\"],0.5)\n  )\n\nmark:\n  apply(significand_feedback);\n  apply(exponent_feedback)\n\ninterpreted_answer: [adjusted_significand, adjusted_exponent]", "extendBaseMarkingAlgorithm": false, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The bond length, <em>r</em>, is&nbsp;[[0]] $\\times$ 10<sup>[[1]]</sup> m.</p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{bond_length_angstroms}-{bond_length_angstroms}/50", "maxValue": "{bond_length_angstroms}+{bond_length_angstroms}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "{log_angstroms}+{log_angstroms}/50", "maxValue": "{log_angstroms}-{log_angstroms}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Nick Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2416/"}, {"name": "Hanno Kossen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2434/"}]}]}], "contributors": [{"name": "Nick Walker", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2416/"}, {"name": "Hanno Kossen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2434/"}]}