A dolphin produces a sound wave in water of frequency 7800 Hz.Fig. 6.1 represents rarefactions of the sound wave travelling in the water and hitting the side of awooden ship at an angle.water woodBArarefactionsdirection of wave travelFig. 6.1(a) State what is meant by a rarefaction...................................................................................................................................................................................................................................................................................................[1](b) On Fig. 6.1, two rarefactions A and B are labelled. The distance between rarefaction A andrarefaction B is 0.76 m.Determine(i) the wavelength in water of the sound wave,wavelength = ...........................................................[1](ii) the time taken for the rarefaction at A to reach the point where rarefaction B is nowpositioned.time = .........................................................
Question
A dolphin produces a sound wave in water of frequency 7800 Hz.Fig. 6.1 represents rarefactions of the sound wave travelling in the water and hitting the side of awooden ship at an angle.water woodBArarefactionsdirection of wave travelFig. 6.1(a) State what is meant by a rarefaction...................................................................................................................................................................................................................................................................................................1 On Fig. 6.1, two rarefactions A and B are labelled. The distance between rarefaction A andrarefaction B is 0.76 m.Determine(i) the wavelength in water of the sound wave,wavelength = ...........................................................1 the time taken for the rarefaction at A to reach the point where rarefaction B is nowpositioned.time = .........................................................
Solution
(a) A rarefaction refers to a region in a sound wave where the particles are less dense compared to the surrounding areas. It is a point of lower pressure and lower particle density in the wave.
(b) To determine the wavelength of the sound wave in water, we can measure the distance between rarefaction A and rarefaction B, which is given as 0.76 m. The wavelength is equal to the distance between two consecutive rarefactions or compressions in the wave. Therefore, the wavelength of the sound wave in water is 0.76 m.
To calculate the time taken for the rarefaction at A to reach the point where rarefaction B is now positioned, we need to know the speed of sound in water. Unfortunately, the speed of sound in water is not provided in the given information. Without this information, we cannot determine the time taken for the rarefaction to travel from A to B.
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