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The document discusses beats, which occur when two sounds with similar frequencies interact. Beats are heard as a modulation in volume as the waves alternately interfere constructively and destructively. When trying to tune a flute to a tuner emitting 440Hz, but the flute is playing at 434Hz, beats will be heard at a frequency of 6Hz as the two tones modulate together. The overall tone heard will be the average frequency of 437Hz.
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Interference and Beats
Spherical waves oscillate in space and time with amplitudes that remain constant over any spherical surface centered on the source. The wave function of a spherical wave can be written as S(r, t) = sm (r)cos (kr - ωt + φ). Locations where two waves are perfectly in phase occur when the path difference is an integer multiple of the wavelength. Locations where two waves are perfectly out of phase occur when one path is an integer multiple of wavelengths and the other is a half integer multiple. When the frequency difference between two sound waves is small, a beat is heard; when the difference is large, two distinct tones are heard.
Beats: The Interference of Waves with Different Frequencies
This document explains what beats are and how they are created by the interference of two waves with different frequencies. When two waves with frequencies of 10 Hz and 11 Hz are superimposed, they will oscillate between constructive and destructive interference, creating a new wave with a frequency of 1 Hz called the beat frequency. The beat frequency is calculated by taking the absolute value of the difference between the two original frequencies. As an example, two sound waves with frequencies of 35 Hz and 39 Hz will produce a beat with a frequency of 4 Hz.
Sound waves
You will hear a beat frequency of 6 Hz as the two tuning forks oscillate in and out of phase with each other at a rate of 6 times per second.
Sound Intensity
This document defines sound intensity and decibels. It explains that intensity is the rate of energy transfer per unit area, measured in watts per square meter. The range of human hearing spans from 1x10^-12 W/m2 to 1 W/m2. However, decibels provide a more efficient scale since they are logarithmic units that allow comparison to a reference intensity. The document provides formulas to convert between intensity (I) and decibel (dB) measurements.
LO8, Physics 101, Beats
Beats occur when two sounds waves of similar but not identical frequencies interfere with each other. The difference in frequencies produces a fluctuation in volume that is heard as a periodic pulsing known as the beat frequency. Beats are caused by constructive and destructive interference between waves. When calculating beats, the beat frequency is equal to the difference between the two sound wave frequencies. The average frequency heard is equal to the sum of the frequencies divided by two. Interfering waves of different frequencies will produce a new wave with an amplitude equal to twice the amplitude of the original waves.
LO4 PHYS 101 - Wave Power and Intensity
My learning object is meant to describe the definitions and formulas necessary to determine the various properties of a sound wave such as its power and intensity.
Lecture 07 sound waves. speed of sound. intensity.
1) Sound waves propagate as periodic longitudinal oscillations of particles in a medium, causing oscillations in pressure and density around the equilibrium values.
2) The speed of sound in a medium depends on its bulk modulus and density, following the equation v = √(B/ρ).
3) Sound intensity decreases with the square of the distance from the source, following the inverse square law. It can be calculated from the sound pressure or particle displacement using equations provided.
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Sound is a form of energy that produces hearing in our ears. It is produced by vibration and travels as a longitudinal wave through compression and rarefaction regions in a medium. The Bell jar experiment showed that sound cannot travel through a vacuum. Sound waves are characterized by their amplitude, wavelength, frequency and speed. Pitch is determined by frequency of vibration and loudness by amplitude.
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Interference and Beats
Spherical waves oscillate in space and time with amplitudes that remain constant over any spherical surface centered on the source. The wave function of a spherical wave can be written as S(r, t) = sm (r)cos (kr - ωt + φ). Locations where two waves are perfectly in phase occur when the path difference is an integer multiple of the wavelength. Locations where two waves are perfectly out of phase occur when one path is an integer multiple of wavelengths and the other is a half integer multiple. When the frequency difference between two sound waves is small, a beat is heard; when the difference is large, two distinct tones are heard.
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This document explains what beats are and how they are created by the interference of two waves with different frequencies. When two waves with frequencies of 10 Hz and 11 Hz are superimposed, they will oscillate between constructive and destructive interference, creating a new wave with a frequency of 1 Hz called the beat frequency. The beat frequency is calculated by taking the absolute value of the difference between the two original frequencies. As an example, two sound waves with frequencies of 35 Hz and 39 Hz will produce a beat with a frequency of 4 Hz.
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You will hear a beat frequency of 6 Hz as the two tuning forks oscillate in and out of phase with each other at a rate of 6 times per second.
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This document defines sound intensity and decibels. It explains that intensity is the rate of energy transfer per unit area, measured in watts per square meter. The range of human hearing spans from 1x10^-12 W/m2 to 1 W/m2. However, decibels provide a more efficient scale since they are logarithmic units that allow comparison to a reference intensity. The document provides formulas to convert between intensity (I) and decibel (dB) measurements.
LO8, Physics 101, Beats
Beats occur when two sounds waves of similar but not identical frequencies interfere with each other. The difference in frequencies produces a fluctuation in volume that is heard as a periodic pulsing known as the beat frequency. Beats are caused by constructive and destructive interference between waves. When calculating beats, the beat frequency is equal to the difference between the two sound wave frequencies. The average frequency heard is equal to the sum of the frequencies divided by two. Interfering waves of different frequencies will produce a new wave with an amplitude equal to twice the amplitude of the original waves.
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My learning object is meant to describe the definitions and formulas necessary to determine the various properties of a sound wave such as its power and intensity.
Lecture 07 sound waves. speed of sound. intensity.
1) Sound waves propagate as periodic longitudinal oscillations of particles in a medium, causing oscillations in pressure and density around the equilibrium values.
2) The speed of sound in a medium depends on its bulk modulus and density, following the equation v = √(B/ρ).
3) Sound intensity decreases with the square of the distance from the source, following the inverse square law. It can be calculated from the sound pressure or particle displacement using equations provided.
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Sound is a form of energy that produces hearing in our ears. It is produced by vibration and travels as a longitudinal wave through compression and rarefaction regions in a medium. The Bell jar experiment showed that sound cannot travel through a vacuum. Sound waves are characterized by their amplitude, wavelength, frequency and speed. Pitch is determined by frequency of vibration and loudness by amplitude.
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Standing waves occur when two waves of equal wavelength, frequency, and amplitude traveling in opposite directions interfere. The points of no displacement are called nodes, and the points of maximum displacement are called antinodes. A standing wave can be described by the equation D(x,t) = A(x)cos(ωt), where A(x) is the position-dependent amplitude. The distance between nodes and antinodes is λ/2, where λ is the wavelength. Standing waves are confined to a given space and do not transport energy like traveling waves.
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1. Waves transfer energy from one place to another through a medium without transferring matter. They are produced by a vibrating or oscillating source and can be transverse or longitudinal.
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3. Waves can be characterized by displacement-time graphs showing oscillation over time or displacement-distance graphs showing the pattern of compression and rarefaction as the wave propagates through a medium.
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1. A standing wave is formed by two waves of equal amplitude, wavelength, and frequency travelling in opposite directions in the same medium.
2. Nodes occur at positions where the amplitude is zero, while antinodes occur at positions of maximum amplitude. The distance between nodes is half the wavelength, and between a node and adjacent antinode is a quarter wavelength.
3. For a string fixed at both ends, standing waves can form with wavelengths of 2L/m, where L is the string length and m is a positive integer. The lowest frequency is called the fundamental frequency. Higher integer multiples of this frequency are the harmonics.
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1. Sound is a longitudinal mechanical wave that propagates through a medium such as air or water by compressions and rarefactions which create regions of high and low pressure.
2. The document discusses several properties of sound waves including that frequency determines pitch, amplitude determines loudness, and speed depends on the properties of the medium.
3. Wave interference and phenomena like resonance, standing waves, and the Doppler effect are also covered as they relate to the nature and perception of sound waves.
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When two sounds waves of different frequencies reach the ear, they undergo interference. This interference causes the sound to become alternately softer and louder, known as "beating". Beats occur due to the interference of two waves at the same point in space. When two cosine waves of different frequencies are superimposed, they result in components at the sum and difference of the frequencies. The first term gives the phenomenon of beats, with a beat frequency equal to the difference between the mixed frequencies.
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Beats occur when two sounds waves of slightly different frequencies interfere with each other, causing the resulting amplitude to increase and decrease over time. The rate at which the amplitude oscillates between high and low volumes is called the beat frequency. The beat frequency is equal to the difference between the frequencies of the two interfering waves. For example, if a 100 Hz tone and 105 Hz tone are played together, their 5 Hz difference in frequency would cause the amplitude to beat at 5 Hz.
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3. Sound waves are longitudinal waves that travel via vibrations in air or other materials. Electromagnetic waves like light can travel through empty space.
4. Wave phenomena include reflection at boundaries, refraction when speed changes, interference from adding or subtracting waves, and diffraction spreading waves passing through openings.
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Beats occur when two sounds waves with slightly different frequencies interfere. The amplitude of the resulting sound wave varies over time between constructive and destructive interference of the original waves. If the frequency difference is small, a single tone is heard that modulates in amplitude at the beat frequency. If the difference is large, two distinct tones are heard. Beats can be calculated using equations that account for the mean frequency and difference between the original frequencies.
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Standing waves occur when two waves of equal wavelength, frequency, and amplitude traveling in opposite directions interfere. The points of no displacement are called nodes, and the points of maximum displacement are called antinodes. A standing wave can be described by the equation D(x,t) = A(x)cos(ωt), where A(x) is the position-dependent amplitude. The distance between nodes and antinodes is λ/2, where λ is the wavelength. Standing waves are confined to a given space and do not transport energy like traveling waves.
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1. Waves transfer energy from one place to another through a medium without transferring matter. They are produced by a vibrating or oscillating source and can be transverse or longitudinal.
2. Key wave properties include amplitude, wavelength, period, frequency, and speed. Amplitude is the maximum displacement from equilibrium, wavelength is the distance between peaks, period is time for one cycle, frequency is cycles per second, and speed depends on wavelength and frequency.
3. Waves can be characterized by displacement-time graphs showing oscillation over time or displacement-distance graphs showing the pattern of compression and rarefaction as the wave propagates through a medium.
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1. A standing wave is formed by two waves of equal amplitude, wavelength, and frequency travelling in opposite directions in the same medium.
2. Nodes occur at positions where the amplitude is zero, while antinodes occur at positions of maximum amplitude. The distance between nodes is half the wavelength, and between a node and adjacent antinode is a quarter wavelength.
3. For a string fixed at both ends, standing waves can form with wavelengths of 2L/m, where L is the string length and m is a positive integer. The lowest frequency is called the fundamental frequency. Higher integer multiples of this frequency are the harmonics.
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1. Sound is a longitudinal mechanical wave that propagates through a medium such as air or water by compressions and rarefactions which create regions of high and low pressure.
2. The document discusses several properties of sound waves including that frequency determines pitch, amplitude determines loudness, and speed depends on the properties of the medium.
3. Wave interference and phenomena like resonance, standing waves, and the Doppler effect are also covered as they relate to the nature and perception of sound waves.
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When two sounds waves of different frequencies reach the ear, they undergo interference. This interference causes the sound to become alternately softer and louder, known as "beating". Beats occur due to the interference of two waves at the same point in space. When two cosine waves of different frequencies are superimposed, they result in components at the sum and difference of the frequencies. The first term gives the phenomenon of beats, with a beat frequency equal to the difference between the mixed frequencies.
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Beats occur when two sounds waves of slightly different frequencies interfere with each other, causing the resulting amplitude to increase and decrease over time. The rate at which the amplitude oscillates between high and low volumes is called the beat frequency. The beat frequency is equal to the difference between the frequencies of the two interfering waves. For example, if a 100 Hz tone and 105 Hz tone are played together, their 5 Hz difference in frequency would cause the amplitude to beat at 5 Hz.
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This document summarizes key concepts about waves, including:
1. There are two types of waves - transverse waves where displacement is perpendicular to direction of travel, and longitudinal waves where displacement is parallel.
2. Wave properties include amplitude, wavelength, period, frequency, and speed. The frequency is the number of waves passing per second, while speed is the distance traveled per second.
3. Sound waves are longitudinal waves that travel via vibrations in air or other materials. Electromagnetic waves like light can travel through empty space.
4. Wave phenomena include reflection at boundaries, refraction when speed changes, interference from adding or subtracting waves, and diffraction spreading waves passing through openings.
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A learning object that explains the concept of how constructive and destructive interference between two sound waves with varying frequncies produces beats. Practice problems with answers are included to improve understanding.
Interactions of waves
Waves can interact in several ways when they overlap in space. Constructive interference occurs when wave amplitudes add, increasing the overall amplitude. Destructive interference happens when wave amplitudes subtract, decreasing the overall amplitude. Reflection is when a wave bounces off a surface, obeying the law of reflection. Refraction is when a wave changes speed and direction as it enters a new medium. Standing waves form from the interference of traveling waves reflecting back on themselves, creating nodes and antinodes. Resonance amplifies vibrations at an object's natural frequency.
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The document discusses different parts of waves including the crest, trough and wavelength. It defines amplitude as loudness and frequency as pitch measured in Hertz. It explains that sound waves use energy to move and we hear them through our ears when someone talks, though we can't see the sound waves. When combining waves, high pressures cancel low pressures while two high or low pressures reinforce each other.
Sound levels
The document discusses how sound level is quantified. It explains that sound intensity and decibel level were developed to better express sound levels compared to relative terms like loud and quiet. Intensity is a measure of a sound wave's power per unit area. The intensity decreases with the inverse square of the distance from the sound source due to the wave's energy spreading over a larger area. Decibel levels make the wide range of sound intensities more manageable by using a logarithmic scale.
Sound wave for Dummies
This document discusses key concepts about sound waves, including:
1) Sound waves create regions of higher and lower pressure as they pass through a medium, compressing and stretching it.
2) The speed of sound depends on the medium and can be calculated using the bulk modulus and density of the medium.
3) A sound wave's wavelength depends on its frequency and speed, with the wavelength being shorter in denser mediums like water compared to air at the same frequency.
4) While wavelength can vary, the speed of sound is determined solely by properties of the medium like temperature, and is not affected by changes in frequency or wavelength.
Optic wave
It's about optic wave. Project given by my teacher because i had not attended her class for long time (for a reason), and skipped so many assignments. It's not so details, but hopefully it will be useful.
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The document discusses interference patterns produced by double slits. When coherent light passes through double slits, it produces a characteristic interference pattern on a screen due to the overlapping waves constructively and destructively interfering. The separation of the bright and dark fringes can be calculated using the formula that relates the wavelength, slit separation, and distance to the screen. Examples are given to demonstrate calculating unknown values when some of the other variables are known. Similar principles of interference patterns apply to sound waves produced by two speakers.
Lo8 upload
This is a Learning object for physics 101 at UBC.This powerpoint presentation explains the concept of beats and beat frequency and includes word problems to further solidify one's understanding.
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The document describes Young's double-slit experiment to demonstrate the interference of light waves. In the experiment, monochromatic light passes through two slits and interferes on a screen, producing bright and dark interference bands. The bright bands indicate locations of constructive interference where the path difference between waves is an integral number of wavelengths. The dark bands show destructive interference where the path difference is a half-integral number of wavelengths. This experiment provided early evidence that light behaves as a wave.
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The document discusses the Doppler effect, which describes how the observed frequency of a wave is different depending on whether the source of the wave is moving towards or away from the observer. It provides the Doppler equation, explains key terms, and gives examples of how to apply the equation to calculate observed frequencies. It also addresses how the Doppler effect causes stars moving towards Earth to appear bluer due to their higher observed frequencies.
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Beats occur when two sounds waves with slightly different frequencies interfere. The amplitude of the resulting sound wave varies over time between constructive and destructive interference of the original waves. If the frequency difference is small, a single tone is heard that modulates in amplitude at the beat frequency. If the difference is large, two distinct tones are heard. Beats can be calculated using equations that account for the mean frequency and difference between the original frequencies.
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3) Asks for the definition of a beat.
4) Asks to calculate the beat frequency between two given tone frequencies.
Wave Interference & Beats Worksheet
This document contains a physics worksheet on wave interference and beats. It includes 4 multiple choice or short answer questions:
1) Asks which statement about constructive interference is true when two waves with the same frequency are added together.
2) Asks what happens when two waves have the same amplitude, frequency and direction but opposite phases.
3) Asks for the definition of a beat.
4) Asks to calculate the beat frequency between two given tone frequencies.
Phys12
This document summarizes key concepts about physical properties of waves. It discusses types of waves including transverse and longitudinal waves. It defines important quantities used to describe waves such as wavelength, frequency, period, velocity and angular wave number. It also examines waves on a string, sound waves, the Doppler effect, and human perception of sound. Specific topics covered include how wave speed depends on the medium, mechanical models of sound waves, measuring sound intensity, the audible range of human hearing, and how the Doppler effect results from either a moving observer or moving source of sound.
Physics P1.5
P1.5 Presentation.
Useful for revision for exams as it contains accurate information.
It includes:
- What are Waves
- Waves Definitions
- Energy Transfer
- Wave Speed
- Frequency & Time Period
- Light & Sound
- Reflection
- Refraction
- Diffraction
- Measuring Waves
- Oscilloscopes
- Ray Diagrams
- Using Light
- Red Shift
- The Big Bang Theory
This final presentation completes the whole of Physics (P1). This'll hopefully become part of a bigger collection of other science topics, soon to be uploaded.
Thank You. To all of you out there who may find my presentation helpful in any way, shape or form.I pleased to now be able to say the P1 Collection is now complete. Soon I'll be uploading other presentation on Physics, such as; P2 & P3 Hope you find these presentations useful and helpful for exams or just general revision. More presentation coming soon on this channel, JaskiratK.
See You Soon,
Jaskirat
Created By: JaskiratK
Uploaded By: JaskiratK
Information By: BBC Bitesize
Pictures/Images/Diagram: Google, BBC Bitesize
Slideshare: http://www.slideshare.net/JaskiratK
Prezi: https://prezi.com/user/mrnfvgaamzxe/
1.1 Gelombang - SPM - Fizik -Tingkatan 5
1. Waves transfer energy from one place to another without transferring matter. Examples of waves include water waves, sound waves, and light waves.
2. There are two main types of waves - transverse waves, where the vibration is perpendicular to the direction of travel, and longitudinal waves, where the vibration is parallel.
3. Key wave properties include amplitude (height of the wave), wavelength (distance between two points of the same phase), period (time for one full oscillation), and frequency (number of oscillations per second). The speed of a wave can be calculated from its wavelength and frequency.
Sound resounance
The document discusses key concepts related to the propagation of sound waves. It defines that sound needs a medium to propagate through and discusses how sound waves are generated by vibrating sources and transmitted through different mediums. The speed of sound depends on the properties of the medium, not the frequency or amplitude of the sound. Sound intensity decreases with distance from the source according to the inverse square law.
Physics lo mar 15
This document discusses beats, which occur when two sounds with slightly different frequencies are combined. Beats are caused by constructive and destructive interference between the waves. When a piano tuner compares a piano string to a tuning fork, they listen for beats between the frequencies. If the string is at 440Hz and the fork 445Hz, the mean frequency is 442.5Hz and the difference is 2.5Hz. To eliminate the beats, the tuner must adjust the string up by 5Hz to match the fork's 445Hz frequency.
3 wave representations
This document discusses different types of waves and wave properties. It begins by describing transverse and longitudinal waves using examples like waves on water and sound waves. It then discusses key wave properties like amplitude, wavelength, frequency, and phase. It explains that waves can be characterized by these properties and defines each term. The document provides examples of measuring wave frequency using an oscilloscope and calculating it from measurements of time and number of waves.
Learning object 7
Two sound waves that are close in frequency will interfere with each other, creating a phenomenon known as beats. Beats occur when the amplitude of the resulting sound wave varies over time due to the constructive and destructive interference between the two waves. The beat frequency is equal to the difference between the two original frequencies. Musicians can use beats to tune instruments by adjusting frequencies until the beating stops.
Wave motion
Wave motion transfers energy from one place to another. There are two main types of waves: transverse waves where particles oscillate perpendicular to the wave direction, and longitudinal waves where particles oscillate parallel to the wave direction. Key wave properties include amplitude, wavelength, frequency, and phase. Waves can undergo various interactions including reflection, refraction, diffraction, interference, and superposition. Interference of waves leads to constructive and destructive interference patterns. Standing waves occur due to interference of waves traveling in opposite directions.
Introduction to Waves Notes2.pptx
This document contains a lesson on waves, including their key characteristics and types. It defines properties like amplitude, wavelength, frequency, speed and period. It describes transverse and longitudinal waves and how they can interfere constructively or destructively. Examples and demonstrations are provided to illustrate these concepts, including using a slinky to model different waves. Students are asked questions and given practice problems to solidify their understanding of wave interference.
Notes for JEE Main 2014 Physics - Wave Motion Part I
The document provides information about wave motion and reflection of waves. It defines key terms related to waves like amplitude, wavelength, period, frequency. It describes the properties of simple harmonic progressive waves and gives their equation. It explains the concepts of superposition, interference and beats of waves. It discusses reflection of transverse and longitudinal waves at rigid and free surfaces. The document also describes Quincke's tube experiment to determine the wavelength of sound waves.
Computational Linear Algebra in Wireless Communications
Describes single- and multiple-antenna wireless digital communications from the point of view of applied mathematician.
sound energy.ppt
Sound travels as longitudinal waves through a medium such as solid, liquid, or gas. When an object vibrates, it disturbs the particles of the surrounding medium and creates an area where the particles are closer together (compression) and an area where they are further apart (rarefaction). These compressions and rarefactions travel through the medium as a sound wave. The wavelength is the distance between two compressions, and the frequency is the number of waves produced per second. A higher frequency means a higher pitch. Sound travels fastest through solids, then liquids, then gases.
sound energy.ppt
Sound travels as longitudinal waves through a medium such as solid, liquid, or gas. When an object vibrates, it disturbs the particles of the surrounding medium and creates an area where the particles are closer together (compression) and an area where they are further apart (rarefaction). These compressions and rarefactions travel through the medium as a sound wave. The wavelength is the distance between two compressions, and the frequency is the number of waves produced per second. A higher frequency means a higher pitch. Sound travels fastest through solids, then liquids, then gases.
sound energy.ppt
Sound travels as longitudinal waves through a medium such as solid, liquid, or gas. When an object vibrates, it disturbs the particles in the medium and creates an area where the particles are closer together (compression) and an area where they are further apart (rarefaction). These compressions and rarefactions travel through the medium as a sound wave. The wavelength is the distance between two compressions, and the frequency is the number of waves produced per second. A higher frequency means a higher pitch. Sound travels fastest through solids, then liquids, then gases. In space, sound cannot travel since there is no medium for the waves.
SUBJECT: PHYSICS - Chapter 6 : Superposition of waves (CLASS XII - MAHARASH...
1. The document discusses the physics concept of superposition of waves. It defines superposition as when two or more waves pass through a common point, the resulting displacement is the vector sum of the individual displacements.
2. Examples of superposition include two pulses of equal amplitude and same phase combining to produce a pulse with double the amplitude, and two pulses of equal amplitude and opposite phases combining to produce no net displacement.
3. Stationary waves occur when two identical waves travel in opposite directions through a medium, resulting in points of no displacement called nodes and points of maximum displacement called antinodes.
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Learning object 2
- 1. BEATS
- 2. What is a Beat? • A beat occurs when two waves with very similar frequencies interact • The rate at which the resultant wave amplitude increases and decreases as a function of time is proportional to the difference in angular frequency • When the frequency difference is large, we hear the sound as two distinct tones • When the frequency difference is small, we hear beats • In a graph, we would see the two frequencies falling out of phase with destructive interference and back in phase with constructive interference • In a graph, the resultant wave oscillates by increasing and decreasing in amplitude, which we call modulated, and creates the beating effect
- 3. Observing Beats for a Fixed Location in Space • The two waves we will consider have the same amplitude, but different frequencies, wavelengths, and wave numbers • We set phases to 0, apply the principle of superposition, and set x=x0=0 to add the two waves. sTotal=(x0,t)=s1(x0,t)+s2(x0,t) =smcos(k1x0-w1t)+smcos(k2x0-w2t) =2sm(1/2)cos(k1x0-w1t+k2x0-w2t)x(1/2)cos(k1x0-w1t-k2x0+w2t)] =2smcos[((k1+k2)/2)x0-[((w1+w2)/2)t]xcos[((k1-k2)/2)x0-[((w1-w2)/2)t] mean angular frequency=wmean=(w1+w2)/2 angular frequency difference=∆w=(w1-w2)/2 sTotal=(0,t)=2smcos(wmean)cos(∆w)
- 4. You are trying to tune your flute. Your tuner emits the in-tune frequency of A4 at 440Hz for you to imitate to tune your flute. However, since your flute is not in tune and the two frequencies differ slightly when the tuner emits 440Hz in the background while you play A4 at 434Hz… A. Do you hear a beat? How do you know? B. What is the tone that you hear? C. Does the resultant wave modulate? D. What is the beat frequency?
- 5. A. Do you hear a beat? How do you know? Yes! Since the frequencies are not the same and do not have a significant difference, their waves will interact to form a rate at which amplitude varies and a frequency difference that is small enough to cause our ears to detect one tone instead of two.
- 6. B. What is the tone that you hear? The tone we will hear is the mean angular frequency given by wmean=(w1+w2)/2. wmean=(440Hz+434Hz)/2 wmean=437Hz
- 7. C. Does the resultant wave modulate? Yes, resultant wave moves at a rate at which amplitude varies enough to oscillate in a pattern that shows and envelope of amplitude modulation. (Red is the resultant wave, blue is the amplitude modulation)
- 8. D. What is the beat frequency? The beat frequency is given to us by ∆w=(w1-w2)/2. This equation is intended to modulate the amplitude of the resultant wave, which usually has a smaller positive and negative crests. However, the resultant wave modulates and the modulation amplitude have greater positive and negative crests. This means the beat frequency is only the difference between the two frequencies. ∆w=(w1-w2) ∆w=(440Hz-434Hz) ∆w=6Hz