The frequency, $\\nu$, of an electron spin transition of an unknown inorganic radical is measured to be {Frequency_MHz} MHz in a magnetic field, B, of {magfield} T.
\n", "advice": "(i) First, note that;
\n\\[\\frac{\\Delta E}{h}=\\frac{g\\mu_BB}{h} =\\nu\\]
\nin an electron spin resonance experiment. Therefore;
\n\\[\\frac{h\\nu}{\\mu_BB}=g\\]
\nso;
\n\\[\\frac{6.62607~\\times10^{-34}~{\\rm~J~s}~\\times~\\times~\\var{Frequency_mantissa}~\\times~10^\\var{Frequency_log}~{\\rm~Hz}}{9.274 \\times 10^{-24}{\\rm ~J~T^{-1}}\\times \\var{magfield}{\\rm~T}}=\\var{Lande_g}\\]
\n\n(ii) Note that;
\n\\[E=h\\nu\\]
\nso
\n\\[6.62607~\\times~10^{-34}~{\\rm J~s}~\\times\\var{Frequency_mantissa}~\\times~10^\\var{Frequency_log}~{\\rm~Hz}=\\var{photon_energy_mantissa}\\times10^{\\var{photon_energy_log}} {\\rm J}\\]
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", "templateType": "anything"}, "Bohr_magneton_log": {"name": "Bohr_magneton_log", "group": "Ungrouped variables", "definition": "-24", "description": "", "templateType": "anything"}, "magfield": {"name": "magfield", "group": "Ungrouped variables", "definition": "decimal((\n random(1..40))/10)", "description": "", "templateType": "anything"}, "Bohr_magneton_mantissa": {"name": "Bohr_magneton_mantissa", "group": "Ungrouped variables", "definition": "9.274009994", "description": "", "templateType": "anything"}, "HTML": {"name": "HTML", "group": "Ungrouped variables", "definition": "html_out[randomiser]", "description": "", "templateType": "anything"}, "h_mantissa": {"name": "h_mantissa", "group": "Ungrouped variables", "definition": "h/(10^(h_log))", "description": "", "templateType": "anything"}, "photon_energy_mantissa": {"name": "photon_energy_mantissa", "group": "Ungrouped variables", "definition": "siground(6.626*10^(-34)*frequency/10^(floor(log(6.626*10^(-34)*frequency))),4)", "description": "", "templateType": "anything"}, "Frequency_MHz": {"name": "Frequency_MHz", "group": "Ungrouped variables", "definition": "Frequency/1000000\n", "description": "", "templateType": "anything"}, "Frequency_coeff": {"name": "Frequency_coeff", "group": "Ungrouped variables", "definition": "(lande_g*Bohr_magneton_mantissa*magfield)", "description": "", "templateType": "anything"}, "html_out": {"name": "html_out", "group": "Ungrouped variables", "definition": "[\n (\n html(\"\"+\"\"+\"1\"+\"\"+\"H\"+\"\"),\n html(\"\"+\"\"+\"13\"+\"\"+\"C\"+\"\"),\n html(\"\"+\"\"+\"14\"+\"\"+\"N\"+\"\"),\n html(\"\"+\"\"+\"19\"+\"\"+\"F\"+\"\"),\n html(\"\"+\"\"+\"31\"+\"\"+\"P\"+\"\")\n )\n]", "description": "What is the Lande g-factor for the unpaired electron in this radical?
", "minValue": "{lande_g}-{lande_g}/50", "maxValue": "{lande_g}+{lande_g}/50", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "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": "What is the energy, E, of a photon of the frequency calculated in part (i) in units of Joules?
\n[[0]]$\\times$10[[1]]
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