An ultrasonic interferometer used to measure the velocity in sea water. If the distance between two consecutive antinodes is 0.55 mm. Compute the velocity of the waves in the sea water. The frequency of the crystal is 1.5 MHz. *
1750 m/sec
1650 m/sec
1450 m/sec
1540 m/sec
Answers
Answer:
1750 m/sec
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The velocity of the waves in the sea water is 1650 m/sec.
The velocity of ultrasonic waves in a medium can be calculated using the following formula:
v = fλ
where v is the velocity, f is the frequency, and λ is the wavelength.
Given the frequency of the crystal is 1.5 MHz,
the wavelength can be calculated as follows:
λ = v/f
=
=
Since the distance between two consecutive antinodes is 0.55 mm, the wavelength can be determined as follows:
λ = 2d
=
=
Therefore, the velocity of the waves in the sea water can be calculated as:
v = λf
=
= 1650 m/sec
Thus, the velocity of the waves in the sea water is 1650 m/sec.
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