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{"name": "2024_25 CHM1013 A1 Q1", "extensions": [], "custom_part_types": [], "resources": [["question-resources/Assess_1_Q1_Visible_Spectrum.png", "resources/question-resources/Assess_1_Q1_Visible_Spectrum_Ik06Hfh.png"], ["question-resources/Assess_1_Q1_Visible_Spectrum_VUh9CEX.png", "resources/question-resources/Assess_1_Q1_Visible_Spectrum_VUh9CEX_aOAv9gD.png"], ["question-resources/Assess_1_THz_definition.png", "resources/question-resources/Assess_1_THz_definition_CDr0NU3.png"], ["question-resources/Assess_1_Q1_Visible_Spectrum_Fh2JHJZ.png", "resources/question-resources/Assess_1_Q1_Visible_Spectrum_Fh2JHJZ_NJNrvXx.png"], ["question-resources/Assess_1_wavenumber_symbol.png", "resources/question-resources/Assess_1_wavenumber_symbol_qrSI2Pd.png"], ["question-resources/Assess_1_wave_eqn.png", "resources/question-resources/Assess_1_wave_eqn_EB1wguh.png"], ["question-resources/Assess_1_Planck.png", "resources/question-resources/Assess_1_Planck_VzXhZ2G.png"], ["question-resources/Assess_1_wavenumber_formula.png", "resources/question-resources/Assess_1_wavenumber_formula_3kGjEfC.png"], ["question-resources/Assess_1_Q1_Visible_Spectrum_llwyJRe.png", "resources/question-resources/Assess_1_Q1_Visible_Spectrum_llwyJRe_cxiAXUn.png"], ["question-resources/Assess_1_wave_eqn_rSf2Zzo.png", "resources/question-resources/Assess_1_wave_eqn_rSf2Zzo_F4oajna.png"], ["question-resources/Assess_1_Answ_Q1ai.png", "resources/question-resources/Assess_1_Answ_Q1ai_IQ3Cy1M.png"], ["question-resources/Assess_1_Answ_Q1aii.png", "resources/question-resources/Assess_1_Answ_Q1aii_9GvVrok.png"], ["question-resources/Assess_1_Answ_Q1aii_part_2.png", "resources/question-resources/Assess_1_Answ_Q1aii_part_2_OSrTT66.png"], ["question-resources/Assess_1_Answ_Q1aii_wavenumber_eq.png", "resources/question-resources/Assess_1_Answ_Q1aii_wavenumber_eq_ruupoGb.png"], ["question-resources/Assess_1_Answ_Q1b.png", "resources/question-resources/Assess_1_Answ_Q1b_SriovHc.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "2024_25 CHM1013 A1 Q1", "extensions": [], "custom_part_types": [], "resources": ["question-resources/Assess_1_Q1_Visible_Spectrum.png", "question-resources/Assess_1_Q1_Visible_Spectrum_VUh9CEX.png", "question-resources/Assess_1_THz_definition.png", "question-resources/Assess_1_Q1_Visible_Spectrum_Fh2JHJZ.png", "question-resources/Assess_1_wavenumber_symbol.png", "question-resources/Assess_1_wave_eqn.png", "question-resources/Assess_1_Planck.png", "question-resources/Assess_1_wavenumber_formula.png", "question-resources/Assess_1_Q1_Visible_Spectrum_llwyJRe.png", "question-resources/Assess_1_wave_eqn_rSf2Zzo.png", "question-resources/Assess_1_Answ_Q1ai.png", "question-resources/Assess_1_Answ_Q1aii.png", "question-resources/Assess_1_Answ_Q1aii_part_2.png", "question-resources/Assess_1_Answ_Q1aii_wavenumber_eq.png", "question-resources/Assess_1_Answ_Q1b.png"], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Adrien Chauvet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32408/"}, {"name": "Simon-John King", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21337/"}], "tags": [], "metadata": {"description": "", "licence": null}, "statement": "<h4><strong>Q1&nbsp;&nbsp; Unit Conversion&nbsp;&nbsp;&nbsp; [9 marks]<br/></strong></h4>\n<p>Consider the visible region of the electromagnetic spectrum:</p>\n<p><img src=\"resources/question-resources/Assess_1_Q1_Visible_Spectrum_llwyJRe.png\" width=\"831\" height=\"452\"/></p>\n<p>In many applications the photon frequency is conveniently represented with units Terahertz (THz).&nbsp; Recall: &nbsp; 1 THz = 10<sup>12</sup> Hz</p>\n<p>In many forms of spectroscopy the photon energy is more conveniently expressed as the photon wavenumber, <img src=\"resources/question-resources/Assess_1_wavenumber_symbol.png\" width=\"48\" height=\"27\"/>, in cm<sup>-1</sup>.&nbsp; Consider, for example, the abscissa (x-axis) values presented in infrared spectra.</p>\n<h5>Useful Information</h5>\n<p>Wave equation:&nbsp;&nbsp;<img src=\"resources/question-resources/Assess_1_wave_eqn_rSf2Zzo.png\" width=\"92\" height=\"36\"/> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Planck Relation:&nbsp; <img src=\"resources/question-resources/Assess_1_Planck.png\" width=\"151\" height=\"56\"/> &nbsp;&nbsp;&nbsp;&nbsp; where&nbsp; <img src=\"resources/question-resources/Assess_1_wavenumber_formula.png\" width=\"65\" height=\"56\"/></p>\n<p></p>", "advice": "<p>Q1</p>\n<p>(a) (i)&nbsp; <img src=\"resources/question-resources/Assess_1_Answ_Q1ai.png\" width=\"341\" height=\"40\"/> &nbsp;&nbsp;&nbsp;&nbsp; = <strong>{299800 * lambda}</strong> THz. &nbsp; &nbsp; &nbsp; Then round answer to 2 significant figures</p>\n<p></p>\n<p>(a) (ii)&nbsp; Conversion factor:&nbsp; <img src=\"resources/question-resources/Assess_1_Answ_Q1aii.png\" width=\"214\" height=\"129\"/> &nbsp;&nbsp;&nbsp;&nbsp; Wavenumber: &nbsp; &nbsp;&nbsp; <img src=\"resources/question-resources/Assess_1_Answ_Q1aii_part_2.png\" width=\"245\" height=\"110\"/></p>\n<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Specific answer:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <img src=\"resources/question-resources/Assess_1_Answ_Q1aii_wavenumber_eq.png\" width=\"46\" height=\"29\"/><strong>{10000000 / lambda}</strong> cm<sup>-1</sup>. &nbsp; &nbsp;&nbsp; Then round answer to 2 significant figures</p>\n<p></p>\n<p>(b)&nbsp; Conversion factor:&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <img src=\"resources/question-resources/Assess_1_Answ_Q1b.png\" width=\"218\" height=\"132\"/> &nbsp;&nbsp; Answer:&nbsp; Reciprocal area = {Inv_area} &times; 10<sup>19</sup> &times; <strong>10<sup>-20</sup></strong> = <strong>{0.1 * Inv_area} &Aring;<sup>-2</sup></strong> &nbsp;&nbsp;&nbsp;&nbsp; Then round answer to 2 decimal places</p>\n<p></p>\n<p>SJK</p>", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"lambda": {"name": "lambda", "group": "Ungrouped variables", "definition": "random(400 .. 700#60)", "description": "", "templateType": "randrange", "can_override": false}, "Inv_area": {"name": "Inv_area", "group": "Ungrouped variables", "definition": "random(0.6 .. 11.8#0.8)", "description": "", "templateType": "randrange", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["lambda", "Inv_area"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"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": "<h4><strong>Q1 (a) (i)<br/></strong></h4>\n<p>Calculate the photon frequency, in <strong>THz</strong>, of {lambda} nm light.&nbsp; Report your answer to 2 significant figures.</p>", "minValue": "299700/lambda", "maxValue": "300100/lambda", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "299800/lambda", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You should state your answer to 2 sig. fig.", "strictPrecision": true, "showPrecisionHint": 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": "<h4><strong>Q1 (a) (ii)</strong></h4>\n<p>Calculate the photon wavenumber, in <strong>cm<sup>-1</sup></strong>, of {lambda} nm light.&nbsp; Report your answer to 2 significant figures.</p>", "minValue": "9999500 / lambda", "maxValue": "10000500 / lambda", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "10000000 / lambda", "precisionType": "sigfig", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": true, "showPrecisionHint": 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": "<h4><strong>Q1 (b)&nbsp; Diffraction<br/></strong></h4>\n<p>Diffraction is an experimental technique used by chemists to probe the structural properties of solids.&nbsp; The details of such experiments will be explored in future undergraduate lectures.</p>\n<p>A common quantity that arises from diffraction measurements is a reciprocal area with units m<sup>-2</sup>.&nbsp; This quantity is then converted to a value with units &Aring;<sup>-2</sup>, an important step when extracting information concerning spacings between particles.</p>\n<p>A value of the reciprocal area was determined as {Inv_area} &times; 10<sup>19</sup> m<sup>-2</sup>.&nbsp; Convert this quantity to units <strong>&Aring;<sup>-2</sup></strong>.&nbsp; Report your answer to 2 decimal places.</p>", "minValue": "Inv_area * 0.0995", "maxValue": "Inv_area * 0.105", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "Inv_area * 0.1", "precisionType": "dp", "precision": "2", "precisionPartialCredit": "50", "precisionMessage": "Please state your answer to 2 decimal places", "strictPrecision": true, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}], "contributors": [{"name": "Adrien Chauvet", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32408/"}, {"name": "Simon-John King", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/21337/"}]}