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Learn Intext Exercise 12.10 with Free Lessons & Tips

A submarine emits a sonar pulse, which returns from an underwater cliff in 1.02 s. If the speed of sound in salt water is 1531 m/s, how far away is the cliff?

Time taken by the sonar pulse to return, = 1.02 s

Speed of sound in salt water, = 1531 m s−1

Total distance covered by the sonar pulse = Speed of sound × Time taken

Total distance covered by the sonar pulse         .....(i)

Let d be the distance of the cliff from the submarine.

Total distance covered by the sonar pulse = 2d
2d=1561.62              [From (i)]

d=780.81 m

Comments

A submarine emits a sonar pulse, which returns from an underwater cliff in 1.02 s. If the speed of sound in salt water is 1531 m/s, how far away is the cliff?

Time taken by the sonar pulse to return, t = 1.02 s Speed of sound in salt water, v = 1531 m s? 1 Distance of the cliff from the submarine = Speed of sound × Time taken

Distance of the cliff from the submarine=1.02 x 1531 =1561.62m

Distance travelled by the sonar pulse during its transmission and reception in water = 2 × Actual distance = 2d

Actual distance, d = (Distance of the cliff from the submarine)/2 = 1561.62/2 = 780.31 m

 

 

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