// Numbas version: exam_results_page_options {"name": "Premier exam", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "questions": [{"name": "Given a quantity per day, how many per week?\u201d", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Abdelhalim Benachenhou", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5188/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Une personne consomme {nom_pommes} pommes par jour.

", "advice": "

Cette persone consomme chaque jour {nom_pommes} pommes.

La semaine comprends 7 jours.

Pour trouver le nombre de pommes consommées par semaine il suffit de multiplier {nom_pommes} par 7.

Elle consomme donc { 7* nom_pommes} pommes par semaine.

", "rulesets": {}, "variables": {"nom_pommes": {"name": "nom_pommes", "group": "Ungrouped variables", "definition": "random(1 .. 10#1)", "description": "

Le nombre de pommes consommées par jour

", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["nom_pommes"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "

Combien de pommes consomme t-il par semaine ?

", "minValue": "7*nom_pommes", "maxValue": "7*nom_pommes", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"name": "Probability distribution - Jan 19-20 Final", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Shihan Miah", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4456/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

A pharmaceutical company run a clinical trial for a new flu vaccine. 1200 people volunteered to take part. 625 of the volunteers were given the real flu vaccine. The remaining 575 volunteers received a harmless placebo drug (which in principle would have no positive or negative effect).

The pharmaceutical company believe that the flu vaccine could cause dizziness in some adults.

165 of the volunteers who had the real flu vaccine reported dizziness.

81 of the volunteers who had the placebo drug reported dizziness.

", "advice": "", "rulesets": {}, "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Determine the probability that a volunteer will not suffer dizziness. Give your answer to 3 decimal places.

", "minValue": "0.880", "maxValue": "0.886", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "3", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Given that a person has dizziness, what is the probability that they have had the real flu vaccine? Give your answer to 3 decimal places.

", "minValue": "0.460", "maxValue": "0.466", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "2", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

The pharmaceutical company find that 1% of people who have the vaccine suffer a more serious side effect (fainting). The company take a random sample of 40 people.

What is the probability that exactly 2 people have the serious side effect in this sample of 40? Give your answer to 3 decimal places.

", "minValue": "0.0530", "maxValue": "0.0535", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

What is the probability that at least 2 people have the serious side effect in this sample of 40? Give your answer to 3 decimal places.

", "minValue": "0.061", "maxValue": "0.062", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}, {"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}, "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/"}], "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). ", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Given that the interval between two transitions (the {trans_def} transitions) in the microwave spectrum of {HTML} is {line_spacing_output};

\n\n\n\n", "advice": "

First, revise how the 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 how the transitions listed in the question connect with the figure below;

a) If presented with a wavenumber, you will need to start by converting this into a frequency while noting that;

\\[c=\\lambda\\nu\\]

so;

\\[{\\rm{line~spacing}}~{\\rm{in~Hz}}=\\frac{c}{\\lambda}=c ~({\\rm in~cm~s^{-1}})~\\times~{\\rm wavenumber~of~line~spacing~(in~cm^{-1})}\\]

so the line spacing (in Hz) can be calculated as;

\\[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}\\]

Noting that the interval between rotational transitions (the line spacing) in the spectrum is equal to 2B, we can say that;

\\[\\frac{\\rm {line~spacing}}{2} = B\\]

so;

\\[\\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\\]

(b) Next, calculate the moment of inertia, I

\\[I=\\frac{h}{8\\pi^{2}B}\\]

\\[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}}\\]

(b) To calculate the reduced mass in g mol^-1, where m₁ is the mass of the first atom and m₂ is the mass of the second atom, each expressed in units of g mol^-1;

\\[\\frac{m_{1}~\\times~m_{2}}{m{_1}+m_{2}}=\\var{reduced_mass}~\\rm g~mol^{-1}\\]

(c) To calculate the reduced mass in kg molecule^-1, divide the reduced mass in g mol^-1 by (the Avogadro number multiplied by 1000 g kg^-1)

\\[\\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}\\]

(d) To determine the bond length from the moment of inertia and reduced mass;

\\[I=\\mu~r^{2}~~~~~~~~~~{\\rm so}~~~~~~~~~ r=\\sqrt{\\frac{I}{\\mu}}\\]

\\[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}}\\]

", "rulesets": {"": []}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"bond_length_angstroms": {"name": "bond_length_angstroms", "group": "Ungrouped variables", "definition": "siground(((mantissa_inertia_x*10^(log_inertia_x)*10^(20)*1000)/((get((rot_constants[randomiser]),\"reduced mass\",0))/(6.022*10^(23))))^(0.5),5)", "description": "", "templateType": "anything", "can_override": false}, "units_html": {"name": "units_html", "group": "Ungrouped variables", "definition": "[\n (\n html(\"\"+\"cm\"+\"^\"+\"-1\"+\"\"+\"\"),\n html(\"\"+\"Hz\"+\"\")\n )\n]", "description": "", "templateType": "anything", "can_override": false}, "log_inertia_x": {"name": "log_inertia_x", "group": "Ungrouped variables", "definition": "floor(log(Inertia_x))+(-47)", "description": "", "templateType": "anything", "can_override": false}, "Molecule_identifiers": {"name": "Molecule_identifiers", "group": "Ungrouped variables", "definition": "[\n (\n html(\"\"+\"H\"+\"^\"+\"35\"+\"\"+\"Cl\"+\"\"),\n html(\"\"+\"H\"+\"^\"+\"81\"+\"\"+\"Br\"+\"\"),\n html(\"\"+\"H\"+\"I\"+\"\"),\n html(\"\"+\"Na\"+\"^\"+\"35\"+\"\"+\"Cl\"+\"\"),\n html(\"\"+\"Na\"+\"^\"+\"79\"+\"\"+\"Br\"+\"\"),\n html(\"\"+\"Li\"+\"F\"+\"\"),\n html(\"\"+\"Li\"+\"^\"+\"35\"+\"\"+\"Cl\"+\"\"),\n html(\"\"+\"^\"+\"63\"+\"\"+\"Cu\"+\"F\"+\"\"),\n html(\"\"+\"^\"+\"63\"+\"\"+\"Cu\"+\"^\"+\"35\"+\"\"+\"Cl\"+\"\")\n )\n]", "description": "

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n", "templateType": "anything", "can_override": false}, "reduced_mass_kg": {"name": "reduced_mass_kg", "group": "Ungrouped variables", "definition": "siground((reduced_mass/6.022),3)", "description": "", "templateType": "anything", "can_override": false}, "trans_def": {"name": "trans_def", "group": "Ungrouped variables", "definition": "random(\n html(\"\"+\"J = \"+\"3\"+\" → \"+\"2\"+\" and the \"+\"J = \"+\"2\"+\" → \"+\"1\"+\"\"),\n html(\"\"+\"J = \"+\"1\"+\" → \"+\"0\"+\" and the \"+\"J = \"+\"2\"+\" → \"+\"1\"+\"\"),\n html(\"\"+\"J = \"+\"3\"+\" → \"+\"2\"+\" and the \"+\"J = \"+\"4\"+\" → \"+\"3\"+\"\")\n)\n", "description": "", "templateType": "anything", "can_override": false}, "log_reduced_mass_kg": {"name": "log_reduced_mass_kg", "group": "Ungrouped variables", "definition": "floor(log(reduced_mass_kg))+(-26)", "description": "", "templateType": "anything", "can_override": false}, "B_value": {"name": "B_value", "group": "Ungrouped variables", "definition": "B_list[randomiser_units]", "description": "", "templateType": "anything", "can_override": false}, "line_spacing_html": {"name": "line_spacing_html", "group": "Ungrouped variables", "definition": "[\n (\n html(\"\"+{wavenumber_line_spacing}+\" \"+\"cm\"+\"^\"+\"-1\"+\"\"+\"\"),\n html(\"\"+{line_spacing_mantissa}+\" \"+\"× \"+\"10\"+\"^{\"+{line_spacing_log}+\"}\"+\" \"+\"Hz\"+\"\")\n )\n]", "description": "", "templateType": "anything", "can_override": false}, "log_angstroms": {"name": "log_angstroms", "group": "Ungrouped variables", "definition": "-10", "description": "", "templateType": "anything", "can_override": false}, "mantissa_reduced_mass_kg": {"name": "mantissa_reduced_mass_kg", "group": "Ungrouped variables", "definition": "reduced_mass_kg/(10^(floor(log(reduced_mass_kg))))", "description": "", "templateType": "anything", "can_override": false}, "rot_constants": {"name": "rot_constants", "group": "Chemical element masses", "definition": "json_decode(safe(\"[\\n{\\\"Formula\\\":\\\"H35Cl\\\",\\\"reduced mass\\\":0.979592539,\\\"nu\\\":2990.946,\\\"B\\\":1.059341600000000e+001,\\\"charge\\\":\\\"0\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7647010\\\",\\\"SQUIB\\\":\\\"1979HUB/HER\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"H81Br\\\",\\\"reduced mass\\\":0.995426835,\\\"nu\\\":2648.975,\\\"Comment\\\":\\\"Be\\\",\\\"B\\\":8.464880000000001e+000,\\\"charge\\\":\\\"0\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"10035106\\\",\\\"SQUIB\\\":\\\"webbook\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"HI\\\",\\\"reduced mass\\\":0.999884347,\\\"nu\\\":2309.01,\\\"B\\\":6.426365000000000e+000,\\\"charge\\\":\\\"0\\\",\\\"C\\\":\\\"6.426365000000000e+000\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"10034852\\\",\\\"SQUIB\\\":\\\"webbook\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"Na35Cl\\\",\\\"reduced mass\\\":13.87068615,\\\"nu\\\":366,\\\"B\\\":2.180630000000000e-001,\\\"charge\\\":\\\"0\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7647145\\\",\\\"SQUIB\\\":\\\"2007Iri:389\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"Na79Br\\\",\\\"reduced mass\\\":17.80343514,\\\"nu\\\":302,\\\"Comment\\\":\\\"Be\\\",\\\"B\\\":1.512533000000000e-001,\\\"charge\\\":\\\"0\\\",\\\"C\\\":\\\"1.512533000000000e-001\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7647156\\\",\\\"SQUIB\\\":\\\"webbook\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"LiF\\\",\\\"reduced mass\\\":5.123810029,\\\"Comment\\\":\\\"7Li\\\",\\\"nu\\\":910.34,\\\"B\\\":1.345257590000000e+000,\\\"charge\\\":\\\"0\\\",\\\"C\\\":\\\"1.345257590000000e+000\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7789244\\\",\\\"SQUIB\\\":\\\"NISTdiatomic\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"Li35Cl\\\",\\\"reduced mass\\\":5.843574224,\\\"nu\\\":643.31,\\\"B\\\":7.065225000000001e-001,\\\"charge\\\":\\\"0\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7447418\\\",\\\"SQUIB\\\":\\\"2007Iri:389\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"63CuF\\\",\\\"reduced mass\\\":14.59283587,\\\"Comment\\\":\\\"Y01\\\",\\\"nu\\\":622.6,\\\"B\\\":3.794029400000000e-001,\\\"charge\\\":\\\"0\\\",\\\"C\\\":\\\"3.794029400000000e-001\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"13478416\\\",\\\"SQUIB\\\":\\\"NISTdiatomic\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linera\\\",\\\"config\\\":\\\"1\\\"},\\n{\\\"Formula\\\":\\\"63Cu35Cl\\\",\\\"reduced mass\\\":22.47814771,\\\"Comment\\\":\\\"63Cu 35Cl\\\",\\\"nu\\\":415.29,\\\"B\\\":1.782489000000000e-001,\\\"charge\\\":\\\"0\\\",\\\"C\\\":\\\"1.782489000000000e-001\\\",\\\"symno\\\":\\\"1\\\",\\\"casno\\\":\\\"7758896\\\",\\\"SQUIB\\\":\\\"NISTdiatomic\\\",\\\"state\\\":\\\"1\\\",\\\"polyatomic\\\":\\\"linear\\\",\\\"config\\\":\\\"1\\\"}\\n]\"))", "description": "

Rotational constants data from;

<https://catalog.data.gov/dataset/nist-computational-chemistry-comparison-and-benchmark-database-srd-101>

augmented with reduced masses calculated from IUPAC Green Book.

\n\n

\n\n\n", "templateType": "json", "can_override": false}, "B_list": {"name": "B_list", "group": "Ungrouped variables", "definition": "[\n (siground((get((rot_constants[randomiser]),\"B\",0)),4)),\n (siground((get((rot_constants[randomiser]),\"B\",0))*3*10^10,4))\n]", "description": "

\n\n\n\n\n\n", "templateType": "anything", "can_override": false}, "randomiser": {"name": "randomiser", "group": "Ungrouped variables", "definition": "random(0..8)", "description": "

0 = html(\"\"+\"H\"+\"\"+\"35\"+\"\"+\"Cl\"+\"\"),
1 = html(\"\"+\"H\"+\"\"+\"81\"+\"\"+\"Br\"+\"\"),
2 = html(\"\"+\"H\"+\"I\"+\"\"),
3 = html(\"\"+\"Na\"+\"\"+\"35\"+\"\"+\"Cl\"+\"\"),
4 = html(\"\"+\"Na\"+\"\"+\"79\"+\"\"+\"Br\"+\"\"),
5 = html(\"\"+\"Li\"+\"F\"+\"\"),
6 = html(\"\"+\"Li\"+\"\"+\"35\"+\"\"+\"Cl\"+\"\"),
7 = html(\"\"+\"\"+\"63\"+\"\"+\"Cu\"+\"F\"+\"\"),
8 = html(\"\"+\"\"+\"63\"+\"\"+\"Cu\"+\"\"+\"35\"+\"\"+\"Cl\"+\"\")

\n\n\n\n\n\n\n\n\n\n\n\n", "templateType": "anything", "can_override": false}, "B_value2_mantissa": {"name": "B_value2_mantissa", "group": "Ungrouped variables", "definition": "B_list[1]/(10^(B_value2_log))", "description": "", "templateType": "anything", "can_override": false}, "B_html_rotconst": {"name": "B_html_rotconst", "group": "Ungrouped variables", "definition": "[\n (\n html(\"\"+{B_value}+\" \"+\"cm\"+\"^\"+\"-1\"+\"\"+\"\"),\n html(\"\"+{B_value2_mantissa}+\" \"+\"× \"+\"10\"+\"^{\"+{B_value2_log}+\"}\"+\" \"+\"Hz\"+\"\")\n )\n]", "description": "", "templateType": "anything", "can_override": false}, "HTML": {"name": "HTML", "group": "Ungrouped variables", "definition": "Molecule_identifiers[randomiser]", "description": "

\n\n\n\n\n\n\n\n\n\n\n\n", "templateType": "anything", "can_override": false}, "B_value2_log": {"name": "B_value2_log", "group": "Ungrouped variables", "definition": "floor(log(B_list[1]))", "description": "", "templateType": "anything", "can_override": false}, "Inertia_x": {"name": "Inertia_x", "group": "Ungrouped variables", "definition": "siground((6.626*10^(13))/(8*(3.14^2)*(B_list[1])),4)", "description": "", "templateType": "anything", "can_override": false}, "line_spacing_output": {"name": "line_spacing_output", "group": "Ungrouped variables", "definition": "line_spacing_html[randomiser_units]", "description": "", "templateType": "anything", "can_override": false}, "reduced_mass": {"name": "reduced_mass", "group": "Ungrouped variables", "definition": "siground(get((rot_constants[randomiser]),\"reduced mass\",0),4)", "description": "", "templateType": "anything", "can_override": false}, "wavenumber_line_spacing": {"name": "wavenumber_line_spacing", "group": "Ungrouped variables", "definition": "2*B_list[0]", "description": "", "templateType": "anything", "can_override": false}, "line_spacing_log": {"name": "line_spacing_log", "group": "Ungrouped variables", "definition": "floor(log(line_spacing[1]))", "description": "", "templateType": "anything", "can_override": false}, "B_html_rotconst_output": {"name": "B_html_rotconst_output", "group": "Ungrouped variables", "definition": "B_html_rotconst[randomiser_units]", "description": "", "templateType": "anything", "can_override": false}, "line_spacing": {"name": "line_spacing", "group": "Ungrouped variables", "definition": "[2*B_list[0],2*B_list[1]]", "description": "", "templateType": "anything", "can_override": false}, "mantissa_inertia_x": {"name": "mantissa_inertia_x", "group": "Ungrouped variables", "definition": "precround(Inertia_x/(10^floor(log(Inertia_x))),3)", "description": "", "templateType": "anything", "can_override": false}, "line_spacing_mantissa": {"name": "line_spacing_mantissa", "group": "Ungrouped variables", "definition": "line_spacing[1]/(10^(line_spacing_log))", "description": "", "templateType": "anything", "can_override": false}, "randomiser_units": {"name": "randomiser_units", "group": "Ungrouped variables", "definition": "random(0..1)", "description": "

randomi

\n\n\n\n\n\n", "templateType": "anything", "can_override": false}, "units_output": {"name": "units_output", "group": "Ungrouped variables", "definition": "units_html[randomiser_units]", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": "200"}, "ungrouped_variables": ["randomiser", "Molecule_identifiers", "HTML", "randomiser_units", "B_list", "wavenumber_line_spacing", "B_value", "B_value2_mantissa", "B_html_rotconst_output", "B_html_rotconst", "B_value2_log", "units_html", "units_output", "Inertia_x", "log_inertia_x", "mantissa_inertia_x", "bond_length_angstroms", "log_angstroms", "reduced_mass", "reduced_mass_kg", "mantissa_reduced_mass_kg", "log_reduced_mass_kg", "line_spacing", "line_spacing_mantissa", "line_spacing_log", "line_spacing_html", "line_spacing_output", "trans_def"], "variable_groups": [{"name": "Chemical element masses", "variables": ["rot_constants"]}], "functions": {"": {"parameters": [], "type": "number", "language": "jme", "definition": ""}, "isotope_name": {"parameters": [["atom", "dict"]], "type": "string", "language": "jme", "definition": "(\"\"+(if(atom[\"isotope\"]<>\"\",\"^{\"+string(atom[\"isotope\"])+\"}\",\"\")+atom[\"symbol\"])+\"\")"}, "molecule_name": {"parameters": [["atoms", "list"]], "type": "number", "language": "jme", "definition": "html(join(map(isotope_name(atom),atom,atoms),\"\"))"}}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "

Enter the rotational constant, B, in units of Hz;

[[0]] $\\times$ 10^[[1]]

\n\n\n\n", "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": "

The moment of inertia, I, is [[0]] $\\times$ 10^[[1]]kg m².

What is the reduced mass, $\\mu$, in units of g mol^-1?

", "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": "

The reduced mass, $\\mu$, is [[0]] $\\times$ 10^[[1]] kg molecule^-1.

", "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": "

The bond length, r, is [[0]] $\\times$ 10^[[1]] m.

Attention il reste 5 mn

"}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": []}, "contributors": [{"name": "Abdelhalim Benachenhou", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/5188/"}], "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"]]}