Self-assesment test for holography lesson dveloped in the Stem(4)youth EU project
"}, "question_groups": [{"pickingStrategy": "all-ordered", "pickQuestions": 1, "name": "Group", "questions": [{"name": "Electromagnetic wave", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jacek Bzdak", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1927/"}], "preamble": {"js": "", "css": ""}, "variables": {}, "parts": [{"maxMarks": 0, "minAnswers": "0", "minMarks": 0, "unitTests": [], "displayColumns": "1", "showCorrectAnswer": true, "shuffleChoices": true, "distractors": ["", "Light can be also considered a particle. However in holography we don't need to use particle description."], "showFeedbackIcon": true, "choices": ["Electromagnetic wave", "Particle"], "marks": 0, "matrix": [".5", ".5"], "extendBaseMarkingAlgorithm": true, "prompt": "Light is a:
", "type": "m_n_2", "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "warningType": "none", "customMarkingAlgorithm": "", "maxAnswers": 0, "variableReplacements": [], "scripts": {}}, {"maxMarks": 0, "minAnswers": 0, "minMarks": 0, "unitTests": [], "displayColumns": "1", "showCorrectAnswer": true, "shuffleChoices": true, "distractors": ["", ""], "showFeedbackIcon": true, "choices": ["Electric field", "Magnetic field"], "marks": 0, "matrix": [".5", ".5"], "extendBaseMarkingAlgorithm": true, "prompt": "Light consists of:
", "type": "m_n_2", "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "warningType": "none", "customMarkingAlgorithm": "", "maxAnswers": 0, "variableReplacements": [], "scripts": {}}, {"maxMarks": 0, "minAnswers": 0, "minMarks": 0, "unitTests": [], "displayColumns": "1", "showCorrectAnswer": true, "shuffleChoices": true, "distractors": ["Sound is not an electromagnetic wave", "Ocean waves are not electromagnetic", "Beta radiation consists of electrons, so it is not electromagnetic", "", "", "", "Alpha radiation consists of Helium nuclei", "Gravitation waves were only recently detected, but are not electromagnetic. ", "", "Infrared light is electromagnetic light that is emitted by bodies in room temperature.", "Ultraviolet is electromagnetic wave that is not visible to eye.", ""], "showFeedbackIcon": true, "choices": ["Sound", "Ocean waves", "Beta radiation", "Radio waves", "X-rays", "Gamma radiation", "Alpha radiation", "Gravitation waves", "Visible light", "Infrared light", "Ultraviolet (UV radiation)", "Microwave radiation (e.g. one used in microwave oven)"], "marks": 0, "matrix": [0, 0, 0, ".1", ".2", ".2", 0, 0, ".1", ".1", ".1", ".2"], "extendBaseMarkingAlgorithm": true, "prompt": "Check all types of waves that are electromagnetic:
", "type": "m_n_2", "variableReplacementStrategy": "originalfirst", "displayType": "checkbox", "warningType": "none", "customMarkingAlgorithm": "", "maxAnswers": 0, "variableReplacements": [], "scripts": {}}, {"extendBaseMarkingAlgorithm": true, "prompt": "We know that electromagnetic waves consist of electric and magnetic fields. What is the angle between these fields in E-M radiation?
\nWrite your answer in degrees. So if you think that angle between these fields is $33.3^{\\circ}$ write \"33\" in the box below. Please round your answer to a single degree (don't add any fractional parts).
", "marks": 1, "maxValue": "90", "variableReplacementStrategy": "originalfirst", "unitTests": [], "allowFractions": false, "correctAnswerStyle": "plain", "minValue": "90", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "mustBeReduced": false, "showFeedbackIcon": true, "mustBeReducedPC": 0, "correctAnswerFraction": false, "type": "numberentry", "notationStyles": ["plain", "en", "si-en"], "variableReplacements": [], "scripts": {}}], "metadata": {"licence": "None specified", "description": ""}, "statement": "Properties of electromagnetic waves
", "variable_groups": [], "rulesets": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "ungrouped_variables": [], "advice": "", "tags": [], "type": "question"}, {"name": "Visible light", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jacek Bzdak", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1927/"}], "preamble": {"css": "", "js": ""}, "rulesets": {}, "statement": "Select which wavelength corresponds to visible light part of the spectrum.
", "functions": {}, "variable_groups": [], "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "", "parts": [{"extendBaseMarkingAlgorithm": true, "shuffleChoices": true, "showFeedbackIcon": true, "distractors": ["Correct! ", "This is X ray radiation. Not visible. ", "This is microwave radiation. Usefull to heat your meal, not visible though. ", "This is radio. ", "This is radio radiation. Not visible."], "matrix": ["1", 0, 0, 0, 0], "scripts": {}, "displayColumns": "1", "maxMarks": 0, "variableReplacementStrategy": "originalfirst", "marks": 0, "variableReplacements": [], "displayType": "radiogroup", "customMarkingAlgorithm": "", "choices": ["$\\var{light_nm}\\,\\mbox{nm}$", "$\\var{xrays_nm}\\,\\mbox{nm}$", "$\\var{microwave_cm}\\,\\mbox{cm}$", "$\\var{radio_m}\\,\\mbox{m}$", "$\\var{radio_km}\\,\\mbox{km}$"], "showCellAnswerState": true, "showCorrectAnswer": true, "minMarks": 0, "unitTests": [], "prompt": "Select which wavelength corresponds to visible part of the spectrum.
\nSome handy conversions:
\nSymbol $\\var{variables[mod(index+0,3)]}$ represents:
", "distractors": ["", "", ""], "maxMarks": 0, "extendBaseMarkingAlgorithm": true, "showFeedbackIcon": true, "minMarks": 0, "matrix": ["1", 0, 0], "customMarkingAlgorithm": "", "shuffleChoices": true, "showCorrectAnswer": true, "unitTests": [], "type": "1_n_2"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variable_groups": [], "rulesets": {}, "statement": "Consider following wave equation:
\n\\[\\mbox{E}=A\\sin{\\left(2\\pi o \\mbox{t}+p\\right)} \\]
\nWhere:
\nWhat information about light wave is stored on hologram, but not on the photograph.
", "tags": [], "variables": {}, "variable_groups": [], "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "Hologram and photo difference", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jacek Bzdak", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1927/"}], "advice": "", "metadata": {"licence": "None specified", "description": ""}, "rulesets": {}, "ungrouped_variables": [], "parts": [{"displayType": "radiogroup", "variableReplacementStrategy": "originalfirst", "shuffleChoices": true, "matrix": [0, 0, "1"], "showFeedbackIcon": true, "type": "1_n_2", "showCorrectAnswer": true, "minMarks": 0, "choices": ["Hologram stores better colors.
", "Hologram has better resolution.", "Hologram stores 3D information on an object."], "variableReplacements": [], "maxMarks": 0, "unitTests": [], "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "distractors": ["", "", ""], "displayColumns": "1"}], "statement": "Hologram stores more information than photograph. What is the difference between photograph and a hologram.
", "tags": [], "variables": {}, "variable_groups": [], "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "preamble": {"js": "", "css": ""}, "type": "question"}, {"name": "Interference", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jacek Bzdak", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/1927/"}], "rulesets": {}, "parts": [{"correctAnswerStyle": "plain", "minValue": "{constructive}", "correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "prompt": "What is the amplitude of result of interference of these waves ($E_3$) if $p_2=p_1$.
", "allowFractions": false, "maxValue": "{constructive}", "scripts": {}, "showFeedbackIcon": true, "mustBeReducedPC": 0, "mustBeReduced": false, "marks": 1, "unitTests": [], "customMarkingAlgorithm": "", "showCorrectAnswer": true, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "variableReplacements": []}, {"correctAnswerStyle": "plain", "minValue": "{desctuctive}", "correctAnswerFraction": false, "notationStyles": ["plain", "en", "si-en"], "variableReplacementStrategy": "originalfirst", "prompt": "What is the amplitude of result of interference of these waves ($E_3$) if $p_2=p_1+\\pi$.
", "allowFractions": false, "maxValue": "{desctuctive}", "scripts": {}, "showFeedbackIcon": true, "mustBeReducedPC": 0, "mustBeReduced": false, "marks": 1, "unitTests": [], "customMarkingAlgorithm": "", "showCorrectAnswer": true, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "variableReplacements": []}], "advice": "", "variables": {"A_1": {"group": "Ungrouped variables", "definition": "random(1..4#1)", "templateType": "randrange", "description": "", "name": "A_1"}, "desctuctive": {"group": "Ungrouped variables", "definition": "abs(A_1-A_2)", "templateType": "anything", "description": "", "name": "desctuctive"}, "A_2": {"group": "Ungrouped variables", "definition": "random(1..1#4)", "templateType": "randrange", "description": "", "name": "A_2"}, "constructive": {"group": "Ungrouped variables", "definition": "A_1+A_2", "templateType": "anything", "description": "", "name": "constructive"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "metadata": {"licence": "None specified", "description": ""}, "tags": [], "preamble": {"js": "", "css": ""}, "functions": {}, "statement": "Waves $E_1$ and $E_2$ are interfering with each other, they equations are given by:
\n\\[\\mbox{E}_1=A_1\\sin{\\left(2\\pi o_1 \\mbox{t}+p_1\\right)} \\]
\n\\[\\mbox{E}_2=A_2\\sin{\\left(2\\pi o_2 \\mbox{t}+p_2\\right)} \\]
\n\nResult of interference is: $E_3=E_2+E_1$.
\n\nConsider following parameter values:
\n\\[A_1=\\var{A_1}\\]
\n\\[A_2=\\var{A_2}\\]
\n\\[o_1=o_2\\]
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