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15.25 A SONAR system fixed in a submarine operates at a frequency 40.0 kHz. An enemy submarine moves towards the SONAR with a speed of 360 km h–1. What is the frequency of sound reflected by the submarine ? Take the speed of sound in water to be 1450 m s–1

0 2 Views | Posted 5 months ago
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    Answered by

    Vishal Baghel | Contributor-Level 10

    5 months ago

    Operating frequency of the SONAR system,  ν = 40 kHz

    Speed of enemy submarine,  ve= 360 km/h = 100 m/s

    Speed of sound in water, v = 1450 m/s

    The source is at rest and the observer (enemy submarine) is moving towards it. Hence, the apparent frequency (f’) received and reflected by the submarine is given by the relation:

    f = ( v+vev)ν=  ( 1450+1001450)×40 = 42.76 kHz

    The frequency (f’) received by the enemy submarine is given by the relation:

    f’ = ( vv-ve )f = ( 14501450-100 ) ×42.76 = 45.93 kHz

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