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Describe, using diagrams, the difference between transverse waves and longitudinal waves - Leaving Cert Physics - Question 8 - 2006

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Describe, using diagrams, the difference between transverse waves and longitudinal waves. The speed of sound depends on the medium through which the sound is travel... show full transcript

Worked Solution & Example Answer:Describe, using diagrams, the difference between transverse waves and longitudinal waves - Leaving Cert Physics - Question 8 - 2006

Step 1

Describe, using diagrams, the difference between transverse waves and longitudinal waves.

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Answer

Transverse waves are characterized by vibrations occurring perpendicular to the direction of wave propagation, while longitudinal waves have vibrations parallel to the direction of motion. For example, a transverse wave can be visualized with peaks and troughs, while a longitudinal wave features compressions and rarefactions. Diagrams can illustrate that transverse waves can be polarized, whereas longitudinal waves cannot.

Step 2

The speed of sound depends on the medium through which the sound is travelling. Explain how sound travels through a medium.

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Answer

Sound travels through a medium in the form of waves, where energy is transferred from particle to particle. In solids, particles are closely packed and vibrate, allowing sound waves to travel efficiently. In liquids and gases, sound travels slower due to increased distance between particles, which leads to less efficient energy transfer. Energy passes through vibrations of particles, facilitating the movement of sound waves.

Step 3

Describe an experiment to demonstrate that sound requires a medium to travel.

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Answer

You can conduct an experiment using a vacuum jar and a bell. Place the bell inside a sealed jar and begin to pump out air. As the air is removed, the sound produced by the bell decreases until it is no longer audible, demonstrating that sound requires a medium (air) to travel.

Step 4

Calculate (i) the time taken for the pulse to reach the seabed;

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Answer

The time taken for the pulse to reach the seabed is 0.2 s, as the total time for the pulse to travel to the seabed and back is 0.4 s. Therefore, when divided by 2, we have:

Step 5

Calculate (ii) the depth of water under the ship;

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Answer

Using the formula: extDistance=extSpeedimesextTime ext{Distance} = ext{Speed} imes ext{Time} we can find the depth of the water. The pulse takes 0.2 s to reach the seabed. So the depth is: extDepth=1500extm/simes0.2exts=300extm ext{Depth} = 1500 ext{ m/s} imes 0.2 ext{ s} = 300 ext{ m}.

Step 6

Calculate (iii) the wavelength of the sound pulse when its frequency is 50 000 Hz.

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Answer

Using the wave equation: extWaveSpeed=extFrequencyimesextWavelength ext{Wave Speed} = ext{Frequency} imes ext{Wavelength} we rearrange to find the wavelength: extWavelength=Wave SpeedFrequency ext{Wavelength} = \frac{\text{Wave Speed}}{\text{Frequency}} Substituting the known values: Wavelength=1500extm/s50000extHz=0.03extm\text{Wavelength} = \frac{1500 ext{ m/s}}{50 000 ext{ Hz}} = 0.03 ext{ m}.

Step 7

Why is the speed of sound greater in water than in air?

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Answer

The speed of sound is greater in water than in air primarily because particles in water are closer together, allowing for quicker vibrations and energy transfer. Additionally, water has a higher density compared to air, which facilitates the propagation of sound waves more efficiently.

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