# A sonar signal of frequency 1.58 × 106 Hz has a wavelength of 1.63 mm in water.a) What is the speed of the signal in water?Answer in units of m/s b) What is its period in water?Answer in units of...

A sonar signal of frequency 1.58 × 106 Hz has a wavelength of 1.63 mm in water.

a) What is the speed of the signal in water?

Answer in units of m/s

b) What is its period in water?

Answer in units of s

c) What is its period in air?

Answer in units of s

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### 1 Answer

A SONAR signal has a frequency of 1.58*10^6 Hz in water and the wavelength is 1.63 mm. The speed of the signal in water has to be determined. The wavelength is first converted to m and is equal to 1.63*10^-3 m. The speed of the signal is now given as 1.63*10^-3*1.58*10^6 = 2.5754*10^3 m/s

The period of the signal is the inverse of the frequency and equal to 6.373*10^-7 s

To determine the frequency of the signal in air, the velocity of the signal in air is required. Sound travels in air at 343 m/s. This is used with the wavelength of 1.63*10^-3 m to give the period as 1.63*10^-3/343 = 4.752*10^-6 s.