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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 sound... 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.
Answer
To find the difference in wavelength, we need to subtract the wavelength emitted by E from the wavelength detected by D.
Given:
- Wavelength emitted by E = 1.86 m
- Wavelength detected by D = 1.98 m
The calculation is:
Step 2
Calculate the velocity of E.
Answer
We use the provided equation to find the velocity of E:
ext{velocity of E} = rac{ ext{velocity of sound} imes ext{difference in wavelength}}{ ext{wavelength E emits}}Substituting the known values:
- Velocity of sound = 330 m/s
- Difference in wavelength = 0.12 m
- Wavelength emitted by E = 1.86 m
The calculation becomes:
ext{velocity of E} = rac{330 ext{ m/s} imes 0.12 ext{ m}}{1.86 ext{ m}} \ ext{velocity of E} = rac{39.6}{1.86} \ ext{velocity of E} ext{ ≈ } 21.24 ext{ m/s}