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Scientists use wave tanks to show the behaviour of waves - Edexcel - GCSE Physics - Question 1 - 2016 - Paper 1

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Scientists use wave tanks to show the behaviour of waves. The diagram shows a wave tank from the side. The length of the tank = 36 m (i) Calculate the wavelength o... show full transcript

Worked Solution & Example Answer:Scientists use wave tanks to show the behaviour of waves - Edexcel - GCSE Physics - Question 1 - 2016 - Paper 1

Step 1

Calculate the wavelength of the waves.

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Answer

The wavelength ( λ ) can be calculated using the formula:

extLengthofthetank=nimesextwavelength ext{Length of the tank} = n imes ext{wavelength}

where n is the number of wavelengths in the tank. From the image, it appears there are 8 complete wavelengths in a 36 m long tank.

Thus, the calculation becomes:

extwavelength=36m8=4.5m ext{wavelength} = \frac{36 m}{8} = 4.5 m

Therefore, the wavelength is 4.5 m.

Step 2

Calculate the speed of the wave.

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Answer

To calculate the speed of the wave, we use the formula:

extSpeed=extDistanceextTime ext{Speed} = \frac{ ext{Distance}}{ ext{Time}}

In this case, the distance is the length of the tank, which is 36 m, and the time taken is 20 s.

Thus, the speed of the wave is:

extSpeed=36m20s=1.8m/s ext{Speed} = \frac{36 m}{20 s} = 1.8 m/s

The unit for the speed of the wave is meters per second (m/s).

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