Answer :
Final answer:
The depth of the sea when a ship receives an echo after 1 second, with the speed of sound in water being 1500 m/s, is 750 meters. The correct option is b.
Explanation:
To calculate the depth of the sea when a ship sends a high-frequency sound wave and receives an echo after 1 second, we can use the speed of sound in water and the total time it takes for the sound to travel to the sea floor and back. Since the speed of sound in water is given as 1500 m/s, we first calculate the total distance traveled by the sound wave, which is the product of speed and time:
Distance = Speed imes Time
Distance = 1500 m/s imes 1 s = 1500 meters
However, this is the round trip distance, so we divide by 2 to get the one-way distance from the ship to the sea floor:
Depth = rac{Distance}{2} = rac{1500 meters}{2} = 750 meters
Thus, the depth of the sea at that point is 750 meters, which is option b).
