A SONAR echo takes $4.4 s$ to return from a shark. How far away is the shark?

3372.6 m

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1537.4 m

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6745.2 m

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1686.3 m

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Solution

The correct option is A $3372.6 m$
Total time taken by the signal $= 4.4 s$
Hence, time taken by the signal to reach the shark $= \frac{4.4}{2} s = 2.2 s =$ time taken by signal to return to the SONAR.
Speed of the sound in sea water at $25^{0} C$ is $1533 m s^{- 1}$
Distance of the shark $=$ distance travelled by the sound wave in one way $=$ speed of sound x time taken $= 1533 \times 2.2 m = 3372.6 m$

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A SONAR echo takes 4.4 s to return from a shark. How far away is the shark?

A SONAR echo takes $4.4 s$ to return from a shark. How far away is the shark?