# 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?

b) What is its period in water?

c) What is its period in air?

justaguide | College Teacher | (Level 2) Distinguished Educator

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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.