Question

in a submarine fitted with a SONAR ,the time delay betwwen generation of a signal and reception of its echo after reflection from an enemy ship is observed to be 73.0 seconds. if the speed of sound in water is 1450 ms-1 ,then calculate the distance of the enemy ship

Answer 1

Distance = VT/2
                 =1450*73/2
                   =52925 m

Answer 2

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Let the distance between the ship and the enemy submarine be ‘S’.

Speed of sound in water = 1450 m/s

Time lag between transmission and reception of Sonar waves = 77 s

In this time lag, sound waves travel a distance which is twice the distance between the ship and the submarine (2S).

Time taken for the sound to reach the submarine

=1/2 × 77 =38.5 s

Distance between the ship and the submarine (S) = 1450 × 38.5 = 55825 m = 55.8 km

I hope, this will help you

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