The echo is received by the sounder after 2 seconds.The speed of sound in sea-water is 1500m/s.What is the depth of sea water below the ship?
Answers
Depth of sea water below the ship = 1500 m = 1.5 km
Explanation:
Let say Depth of Sea water = d m
Then Distance Covered by sound = d + d = 2d m
( going down to depth & then coming back to sea)
Total Distance = 2d m
Speed = 1500 m/s
Time taken = 2 Secs
Distance = Speed * Time
=> 2d = 1500 * 2
=> d = 1500
Hence Depth of sea water below the ship = 1500 m = 1.5 km
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Given:
Speed of sound in water= 1500 m/s
Time after which echo is heard= 2 seconds
To find:
Depth of sea water below ship
Solution:
As we know,
Distance = Speed × Time
So, here depth or distance travelled by the sound = 1500× 2 = 3000 m
In this case, the sound travels from the ship to the bottom of the sea and then comes back to the ship.
So, distance travelled by the sound is double to that of the depth of the sea.
Therefore, depth of the sea is 3000/2 = 1500m