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A sonar deivce attached to a ship sends....

A sonar deivce attached to a ship sends. Ultrasomic waves in the sea. These waves are reflected from the bottom of the sea. If the ultrasonic waves take 4 seconds to travel from the ship to the bottom of the sea and back to the ship (in the form of an echol), what is the depth of the sea? (Speed of sound in water `= 1500 m//s)`.

Text Solution

Verified by Experts

The time taken by the ultrasonic sound waves to travel from the ship to the sea-bed, and back to the ship is 4 seconds. So, the time taken by the ultrasonic sound to travel from the ship to sea-bed will be half of this time, which is `(4)/(2) =2` second. This means that the sound takes 2 seconds to travel from the ship to the bottom of the sea.
Now, Speed `= ("Distance")/("Time")`
So, `1500 = ("Distance")/(2)`
And, Distance `= 1500 xx 2m = 3000m`
Thus, the depth of this sea below the ship is 3000 metres.
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Knowledge Check

  • The ultrasonic waves take 4 seconds to travel from the ship to the bottom of the sea and back to the ship (in the form of an echo). What is the depth of the sea? (Speed of sound in water = 1500 m/s.)

    A
    3000 m
    B
    2000 m
    C
    1000 m
    D
    500 m
  • If the time taken for the reflected sound to reach the sonar is 2 s, the depth of the sea is m . (velocity of sound in water is 1500 m s^(-1) )

    A
    `1500`
    B
    `3000`
    C
    `750`
    D
    `500`
  • If the same time taken for the reflected sound to reach the sonar os 2 s, the depth of the sea is _______ m. (velocity of sound in water is 1500 ms^(-1) )

    A
    1500
    B
    3000
    C
    750
    D
    500
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