The sound source of a ship's sonar system operates at a frequency of 18.0 kHzkHz. The speed of sound in water (assumed to be at a uniform 20∘C) ∘C) is 1482 m/sm/s. The ship is at rest in the water.

(a) What is the wavelength of the waves emitted by the source?

(b) What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling directly toward the ship at 4.95 m/s? The ship is at rest in the water.

Question

Physics

Kael Miller

30 November, 13:27

The sound source of a ship's sonar system operates at a frequency of 18.0 kHzkHz. The speed of sound in water (assumed to be at a uniform 20∘C) ∘C) is 1482 m/sm/s. The ship is at rest in the water.

(a) What is the wavelength of the waves emitted by the source?

(b) What is the difference in frequency between the directly radiated waves and the waves reflected from a whale traveling directly toward the ship at 4.95 m/s? The ship is at rest in the water.

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Answers (1)

Know the Answer?

Darian Blair · Answer 1

a) wave length of waves in water

= velocity / frequency

= 1482 / (18 x 1000)

=.0823 m

= 8.23 cm

b) Applying Doppler's effect relation

frequency of reflected wave

= 18000 [ 1482 / (1482 - 4.95) ]

= 18000 x 1.003385

= 18061

Difference in frequency = 61 Hz