A ship steams towards a hill in the sea and sounds its siren, and the echo is heard after 6 s. The siren is sounded again 3 minutes after the first sounding and the echo is heard after 4 s. If the vel

Question

A ship steams towards a hill in the sea and sounds its siren, and the echo is heard after 6 s. The siren is sounded again 3 minutes after the first sounding and the echo is heard after 4 s. If the velocity of the ship is 6.87 km/h, calculate the velocity of sound in air. (answer in m/s ).

TestHub · Accepted Answer

u = 6.87 km/h = 1.908 m/s. For an echo time t the ship-hill distance is d = ( v + u ) t /2 . So d 1 ​ − d 2 ​ = ( v + u ) ( 6 − 4 ) /2 = ( v + u ) × 1 s. This equals the distance the ship moves in 180 s: u × 180 = 343.5 m. So v = 343.5 − 1.9 = 341.6 m/s.

Physics - Sound Wave Question with Solution | TestHub

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