A SONAR (sound navigation and ranging) uses ultrasonic waves to detect and locate objects under water. In a submarine equipped with a sonar the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy submarine is found to be 77.0 s. What is the distance of the enemy submarine?

Question

A SONAR (sound navigation and ranging) uses ultrasonic waves to detect and locate objects under water. In a submarine equipped with a sonar the time delay between generation of a probe wave and the reception of its echo after reflection from an enemy submarine is found to be 77.0 s. What is the distance of the enemy submarine? (A) 124.8 km (B) 36.6 km (C) 47.2 km (D) 55.8 km

Tardigrade Admin · Accepted Answer

Distance of enemy submarine =( text distance travelled by SONAR /2)=(1450 ms -1 × 77 s /2) =55825 m =55.8 km

124.8 km

36.6 km

47.2 km

55.8 km

Distance of enemy submarine =2 distance travelled by SONAR ​=21450ms−1×77s​ =55825m=55.8km

Distance of enemy submarine
$= \frac{distance travelled by SONAR}{2} = \frac{1450 m s ^{- 1} \times 77 s}{2}$
$= 55825 m = 55.8 km$