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A sound wave, travelling in air, approaches a solid barrier with a gap in the middle.Fig. 6.1represents the compressions and rarefactions of the sound wave. The compressions are labelledA, B and C.AcompressionbarrierrarefactionB CFig. 6.1(a) State how a compression differs from a rarefaction...................................................................................................................................................................................................................................................................................................[1](b) The speed of sound in air is 340 m / s. The frequency of the sound is 850 Hz.For this wave, determine(i) the wavelength,wavelength = ...........................................................[2](ii) the time that elapses before compression A reaches the barrier.time = ...........................................................[2](c) On Fig. 6.1, draw the shape and positions of compressions B and C as compression Areaches the barrier. [2](d) Sound waves can also travel in water.State how the speed of sound in water compares with the speed of sound in air...............................................................................................................................................

Question

A sound wave, travelling in air, approaches a solid barrier with a gap in the middle.Fig. 6.1represents the compressions and rarefactions of the sound wave. The compressions are labelledA, B and C.AcompressionbarrierrarefactionB CFig. 6.1(a) State how a compression differs from a rarefaction...................................................................................................................................................................................................................................................................................................1 The speed of sound in air is 340 m / s. The frequency of the sound is 850 Hz.For this wave, determine(i) the wavelength,wavelength = ...........................................................2 the time that elapses before compression A reaches the barrier.time = ...........................................................2 On Fig. 6.1, draw the shape and positions of compressions B and C as compression Areaches the barrier. 2 Sound waves can also travel in water.State how the speed of sound in water compares with the speed of sound in air...............................................................................................................................................

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Solution

(a) A compression differs from a rarefaction in the following ways:

  • A compression is a region of high pressure and high density in a sound wave, where the particles are close together.
  • A rarefaction is a region of low pressure and low density in a sound wave, where the particles are spread apart.

(b) Given:

  • Speed of sound in air = 340 m/s
  • Frequency of the sound = 850 Hz

(i) To determine the wavelength: We can use the formula: speed = frequency x wavelength 340 m/s = 850 Hz x wavelength wavelength = 340 m/s / 850 Hz wavelength = 0.4 m

(ii) To determine the time that elapses before compression A reaches the barrier: We can use the formula: time = distance / speed Since the distance is not given, we cannot determine the exact time.

(c) Drawing the shape and positions of compressions B and C as compression A reaches the barrier: Please refer to Fig. 6.1 for the shape and positions of compressions B and C.

(d) The speed of sound in water is generally higher than the speed of sound in air.

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Similar Questions

A sound wave in air consists of alternate compressions and rarefactions along its path.(i) Explain how a compression differs from a rarefaction...................................................................................................................................................................................................................................................................................[1](ii) Explain, in terms of compressions, what is meant by1. the wavelength of the sound,....................................................................................................................................................................................................................................................................[1]2. the frequency of the sound.....................................................................................................................................................................................................................................................................[1](b) At night, bats emit pulses of sound to detect obstacles and prey. The speed of sound in air is340m/s.(i) A bat emits a pulse of sound of wavelength 0.0085 m.Calculate the frequency of the sound.frequency = ...........................................................[2](ii) State why this sound cannot be heard by human beings...................................................................................................................................................................................................................................................................................[1](iii) The pulse of sound hits a stationary object and is reflected back to the bat. The pulse isreceived by the bat 0.12 s after it was emitted.Calculate the distance travelled by the pulse of sound during this time.distance = ..........................................................

A sound wave has a wavelength of 6.m. The distance from a compression centre to the adjacent rarefaction centre is :

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Sound is:A. a wave that propagates in an elastic medium with aspeed that depends on the medium itselfB. an elastic wave that propagates in vacuum at a speed of340 m/ sC. a wave that propagates in an elastic medium at a speedof 300 000 km/ sD. an elastic wave that propagates in vacuum at a speed of300 000 km/ sE. a wave that propagates in vacuum and all material medi-ums at a speed of 340 m/ s

If λ𝜆  is the wavelength of a wave then what will be the distance between a compression and adjacent rarefaction?

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