A pulse of a sound is transmitted from a ship and the reflection from the sea bed is recorded after 0.2s. Calculate the depth of the sea. [Take speed of sou...
A pulse of a sound is transmitted from a ship and the reflection from the sea bed is recorded after 0.2s. Calculate the depth of the sea. [Take speed of sound in sea water = 1560ms-1]
Answer Details
The time taken by the pulse of sound to travel from the ship to the sea bed and back to the ship is 0.2 seconds. This time includes the time taken by the pulse to travel from the ship to the sea bed and the time taken by the reflected pulse to travel back from the sea bed to the ship. Let's assume that the depth of the sea is 'd'. So, the total distance travelled by the sound is twice the depth of the sea or 2d. From the formula, distance = speed × time, we can write: 2d = speed of sound × 0.2 Substituting the value of speed of sound in sea water as 1560ms-1, we get: 2d = 1560 × 0.2 2d = 312 Therefore, the depth of the sea is 312/2 = 156 meters. Hence, the correct option is: - 156.0m