Waves in air, fluids and solids

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Question 22

Medium

An outdoor cinema setup has two main loudspeakers, Speaker P and Speaker Q, broadcasting sound to a spectator. Speaker P is closer to the spectator than Speaker Q, as shown in the diagram.

A schematic diagram of an outdoor cinema audience layout. On the left, a spectator is seated. Towards the right, at a higher level, two speakers are mounted: Speaker P is closer to the spectator at a distance of 17.0 m, and Speaker Q is further away behind Speaker P. Two arrows point from Speaker P and Speaker Q to indicate the sound paths travelling to the spectator.

A particular sound tone played by the speakers has a frequency of $kHz5.0\text{ kHz}$ .

Convert this frequency into hertz ( $Hz\text{Hz}$ ).

[1]

Calculate the period of this sound wave.

[2]

Calculate the wavelength of a sound wave with a frequency of $Hz4250\text{ Hz}$ when the speed of sound is $m/s340\text{ m/s}$ . State the correct unit for wavelength.

[3]

Write down the equation that links distance ( $s$ ), speed ( $v$ ), and time ( $t$ ).

[1]

Calculate the time taken for the sound to travel from Speaker P to the spectator over a distance of $m17.0\text{ m}$ where the speed of sound is $m/s340\text{ m/s}$ .

[2]

The sound from both Speaker P and Speaker Q travels at the same speed of $m/s340\text{ m/s}$ . Explain why the sound from Speaker Q must be emitted slightly before the sound from Speaker P for the spectator to hear a single, synchronized sound.

[3]

Waves in air, fluids and solids

Question 22

Waves in air, fluids and solids Questions

Waves in air, fluids and solids

Question 22

Waves in air, fluids and solids Questions