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Zorluk: KolaySound Waves, Echoes, Pitch, Loudness, and Quality

A ship uses a sonar device to determine the depth of the ocean floor. A sound pulse sent vertically downward reflects off the seabed and is detected 0.6 s0.6\text{ s} after transmission. If the speed of sound in seawater is 1500 m/s1500\text{ m/s}, what is the depth of the ocean floor at that location?

  1. 450 m450\text{ m}Cevap
  2. B
    900 m900\text{ m}
  3. C
    1800 m1800\text{ m}
  4. D
    2500 m2500\text{ m}

Cevap

450 m450\text{ m}
The correct answer is 450 m450\text{ m} because sound travels to the ocean floor and back, covering twice the actual depth. Dividing the total distance of 900 m900\text{ m} by 22 yields the one-way depth of 450 m450\text{ m}.

Adım Adım Çözüm

1
Calculate the total distance traveled by the sound wave
dtotal=1500 m/s×0.6 s=900 md_{\text{total}} = 1500\text{ m/s} \times 0.6\text{ s} = 900\text{ m}
Total distance traveled by the wave equals speed multiplied by total elapsed time.
2
Determine the one-way depth of the ocean floor
Depth=dtotal2=900 m2=450 m\text{Depth} = \frac{d_{\text{total}}}{2} = \frac{900\text{ m}}{2} = 450\text{ m}
An echo travels down to the seabed and back to the receiver, so the ocean depth is half the total distance covered.

Anahtar Kavram

Echo distance calculation
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