2c2","revisionId":"70835bae-4c7c-452f-93f1-79290a50e679","questionNumber":null,"questionType":"LA","specification":"The graph below shows the displacement of a wave over time.\n\n![A graph of displacement against time for a wave.](https://assets.mathsgenie.co.uk/aqa-qb/7bc2aa39-339b-448a-81f9-d68631889795.png)","difficulty":3,"difficultyBand":"easy","totalMarks":5,"sourceTitle":null,"calculatorUse":null,"parts":[{"id":"49c47b1b-7573-4c4b-a52a-12e8d3c304d8","label":"a","content":"Use the graph to work out the time period of the wave.","markscheme":"- Identifies one complete cycle on the time axis to find a time period of $4\\text{ s}$ B1","marks":1,"order":0,"markingRubric":null,"explanation":{"methods":[{"id":"read_period","label":"Read one complete cycle","steps":[{"type":"text","order":0,"title":"Find matching points","content":"The **time period** is the time taken for one complete oscillation. On the given graph, choose two consecutive points at the same stage of the motion, such as two peaks (maximum displacements).\n\nThe first peak is at $1\\text{ s}$ and the next peak is at $5\\text{ s}$.","highlights":[{"text":"Use the graph to work out the time period of the wave.","location":"specification"}]},{"type":"hyper_latex","block":{"nodes":[{"latex":"T = 5\\text{ s} - 1\\text{ s}"},{"latex":"T = \\htmlData{anchor=period}{4\\text{ s}}"}],"highlights":[{"color":"green","style":"box","anchor":"period"}]},"order":1,"title":"Read the time period","description":"Subtract the times of two consecutive peaks. Identifying one complete cycle on the time axis earns the B1 mark."}]}],"generatedAt":"2026-07-22T12:13:14.150Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"502e4779-2d2f-4c99-a791-6189c133a08a","label":"b","content":"Use the graph to work out the amplitude of the wave.","markscheme":"- Reads the peak displacement from the graph to find an amplitude of $4\\text{ cm}$ B1","marks":1,"order":1,"markingRubric":null,"explanation":{"methods":[{"id":"read_amplitude","label":"Read the amplitude","steps":[{"type":"text","order":0,"title":"Read the amplitude","content":"Amplitude is the greatest displacement from the central, or equilibrium, line.\n\nThe crest is at $+4\\text{ cm}$ on the displacement axis. Therefore, the amplitude is $4\\text{ cm}$.\n\nThis correct reading from the graph earns the **B1** mark.","highlights":[{"text":"Use the graph to work out the amplitude of the wave.","location":"specification"}]}]}],"generatedAt":"2026-07-22T12:15:23.407Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"97029cf1-0f0d-4b9d-a388-b86fa9d45378","label":"c","content":"What is meant by the term **frequency** of a wave?","markscheme":"- States that frequency is the number of complete waves or oscillations per second (or passing a point per second) B1","marks":1,"order":2,"markingRubric":null,"explanation":{"methods":[{"id":"define_frequency","label":"Define frequency","steps":[{"type":"text","order":0,"title":"State the definition","content":"**Frequency** is the number of complete waves, or oscillations, passing a point each second.\n\nThis earns **B1**.","highlights":[{"text":"What is meant by the term **frequency** of a wave?","location":"specification"}]}]}],"generatedAt":"2026-07-22T12:16:20.133Z","modelVersion":"gpt-5.6-terra+diagrams-1","explanationVersion":"v3"},"options":[]},{"id":"6d54d76e-615e-4173-b4c8-4f1176a4fc48","label":"d","content":"A sound wave has a frequency of \$250\\text{ Hz}\$ and a wavelength of \$1.36\\text{ m}\$.\n\nCalculate the speed of this wave.","markscheme":"- Recalls and uses the wave speed equation $v = f \\lambda$ M1\n- Substitutes the values to calculate $v = 250 \\times 1.36 = 340\\text{ m/s}$ A1","marks":2,"order":3,"markingRubric":null,"explanation":{"methods":[{"id":"wave_speed_equation","label":"Use the wave equation","steps":[{"type":"text","order":0,"title":"Choose the relationship","content":"The frequency and wavelength are a

Wave behaviour

Question 19

Wave behaviour Questions

Wave behaviour

Question 19

Wave behaviour Questions