Question

The ultrasonic source of 0.07 MHz sends down a pulse towards the sea bed, which returns after 0.65 sec. Find the depth of sea bed if velocity of sound in sea water is 1700 m/sec

Answer 1

Explanation:

ANSWER

Let, the Depth of sea is x,

Distance traveled by sound wave=2d,

Time is taken by sound to travel both ways=1.6s,

Speed of the sound =

time taken

total distance travelled

=1400m/s=

1.6s

2d

d=1120m

Answer 2

Concept:

• Sonar
• Sonar is a method that employs sound propagation to navigate, measure distances, communicate with, or detect objects on or below the water's surface, such as other boats.
• Sound waves

Given:

• Frequency of ultrasonic source = 0.07 MHz
• time t = 0.65 s
• Velocity of sound in seawater v = 1700 m/s

Find:

• The depth of the sea bed = d

Solution:

Let d be the depth of the seabed

The pulse has to cover a distance of 2d after it has been emitted from its source.

We know that speed is the distance covered per unit of time.

So the distance is the product of speed and time

2d = vt

2d = 1700 * 0.65

2d = 1105 m

d = 1105/2 = 552.5 m

The depth of the sea bed is 552.5 m.

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