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Figure 19 shows two objects, E and D - Edexcel - GCSE Physics - Question 10 - 2023 - Paper 1

Question 10

Figure 19 shows two objects, E and D. E emits a sound. D detects the sound. E is moving in the direction shown by the arrow, but D is not moving. E emits a s... show full transcript

Worked Solution & Example Answer:Figure 19 shows two objects, E and D - Edexcel - GCSE Physics - Question 10 - 2023 - Paper 1

Step 1

Calculate the difference between the wavelength that E emits and the wavelength that D detects.

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Answer

The difference in wavelength can be calculated using the formula:

$difference \ in \ wavelength = wavelength \ D \ measures - wavelength \ E \ emits$

Substituting the values:

difference \ in \ wavelength = 1.98 \ m - 1.86 \ m = 0.12 \ m

Step 2

Calculate the velocity of E.

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Answer

Using the provided equation:

$velocity \ of \ E = \frac{velocity \ of \ sound \ times \ difference \ in \ wavelength}{wavelength \ E \ emits}$

Substituting the known values:

$velocity \ of \ E = \frac{330 \ m/s \ times \ 0.12 \ m}{1.86 \ m}$

Calculating this gives:

$velocity \ of \ E \approx 21.35 \ m/s$

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