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Read the text below and answer the questions that follow - NSC Marine Sciences - Question 2 - 2024 - Paper 1

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Read the text below and answer the questions that follow. A deeper understanding of the characteristics of water waves is essential for designing efficient electric... show full transcript

Worked Solution & Example Answer:Read the text below and answer the questions that follow - NSC Marine Sciences - Question 2 - 2024 - Paper 1

Step 1

Draw a composite graph showing two separate lines to illustrate the data of the investigation indicated in the table above. Show ALL calculations.

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Answer

To create the composite graph, plot the average wavelength (m) on the Y-axis against water depth (mm) on the X-axis. You will have two lines: one for average wavelength and another for average wave power (J.s⁻¹).

  1. Data Points:
    • Wavelengths: (240, 0.06), (260, 0.07), (280, 0.10), (300, 0.12)
    • Wave Powers: (240, 10), (260, 8), (280, 5), (300, 4)
  2. Graph: Label your graph appropriately, adding titles for the X and Y axes. Ensure there is a legend to differentiate between the two lines.

Step 2

What would the maximum depth of orbitals be if waves were formed at the depth of 300 mm? Show ALL calculations.

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Answer

The maximum depth of orbitals is typically half the depth of the wave. Thus,

ext{Maximum Depth} = rac{300 ext{ mm}}{2} = 150 ext{ mm}

Step 3

Describe the relationship between depth (mm) and average wavelength (m) as determined by this study.

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Answer

The relationship observed indicates that as the depth of the water increases, the average wavelength also increases. This suggests a positive correlation between the two variables, as the deeper the water, the longer the wavelength produced.

Step 4

(a) Referring to the data, at which depth will the mechanism be most efficient?

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Answer

The mechanism will be most efficient at a depth of 240 mm, where the average wave power is the highest at 10 J.s⁻¹.

Step 5

(b) Explain your answer to QUESTION 2.1.4 (a).

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Answer

At a depth of 240 mm, the study shows that the average wave power is highest compared to the other depths. This implies that energy conservation and output are optimized at this depth, making it the most efficient point for energy harvesting in this experimental setup.

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