A-Level AQA Physics Stationary Waves: The diagrams show the displaceme

The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave - AQA - A-Level Physics - Question 17 - 2021 - Paper 1

Question 17

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The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave. Which is correct for this wave? A. The amplit... show full transcript

Worked Solution & Example Answer:The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave - AQA - A-Level Physics - Question 17 - 2021 - Paper 1

Step 1

A. The amplitude is 3.0 m.

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Answer

The amplitude is the maximum displacement from the rest position. From the displacement-distance graph, the peak displacement reaches 2 m, so this statement is incorrect.

Step 2

B. The wavelength is 6 m.

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Answer

The wavelength is the distance over which the wave's shape repeats, seen in the displacement-distance graph. The distance between two consecutive peaks is 60 m, thus making the wavelength 60 m, not 6 m. This statement is incorrect.

Step 3

C. The speed is 8.3 m s⁻¹.

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Answer

The speed of a wave can be calculated using the formula: $v = f imes \lambda$ From the graph, we have a wavelength of 60 m and a frequency of 0.17 Hz: $v = 0.17 ext{ Hz} \times 60 ext{ m} = 10.2 ext{ m/s}.$ Thus, this statement is also incorrect.

Step 4

D. The frequency is 0.17 Hz.

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Answer

From the displacement-time graph, we can calculate the frequency, which is the number of cycles per second. The graph demonstrates one cycle takes approximately 6 seconds. Therefore, the frequency is $f = \frac{1 ext{ cycle}}{6 ext{ s}} \\ = 0.17 ext{ Hz}.$ This statement is correct.

The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave - AQA - A-Level Physics - Question 17 - 2021 - Paper 1

Worked Solution & Example Answer:The diagrams show the displacement–distance graph for a wave and the displacement–time graph for a point in the wave - AQA - A-Level Physics - Question 17 - 2021 - Paper 1

A. The amplitude is 3.0 m.

B. The wavelength is 6 m.

C. The speed is 8.3 m s⁻¹.

D. The frequency is 0.17 Hz.

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