Whales A and B are calling out to their lost baby whale C. For their calls to cancel out and not reach whale C, whales A and B must be 44.5x meters apart, where x is an integer. For their calls to combine and be the loudest when reaching whale C, whales A and B must be 89x meters apart, where x is an integer. The document explains how wavelength is used to calculate the distances between whales A and B for destructive and constructive interference of the sound waves to occur when reaching whale C.
Dogs can hear higher frequency sounds than humans because they can detect frequencies up to 60,000 Hz while humans are limited to 20-20,000 Hz. A sound wave is a longitudinal pressure wave consisting of compressions and rarefactions that can be characterized by its frequency, wavelength, amplitude, and speed. The document then provides an example problem calculating the frequency of a whistle based on given properties of air, determining that the frequency is within the hearing ranges of both dogs and bats but not humans.
Dogs can hear higher frequencies than humans because their hearing range is 40-60,000 Hz while humans can generally hear 20-20,000 Hz. This means dogs can hear sounds that are too high in frequency for humans to detect. The document then provides information on sound waves, terms related to sound, and works through an example problem to calculate the frequency of a whistle and determine if a human, dog, or bat could hear it (24.2 kHz frequency, which humans cannot hear but dogs and bats can).
The Doppler effect describes how the frequency of a wave (such as sound) is altered by the relative motion between the source of the wave and the observer. When an ambulance's siren passes by, its frequency is higher as it approaches and lower as it moves away due to the Doppler effect. The effect can be calculated using equations that take into account the velocity of the source, receiver, and sound itself. An example calculation demonstrates how a driver would observe different frequencies for an approaching versus passing ambulance.
The Doppler Effect describes how the frequency of a wave is altered depending on the relative motion between the source of the wave and the receiver. When the source and receiver are moving towards each other, the received frequency is higher than the emitted frequency. When they are moving away from each other, the received frequency is lower. This phenomenon can be expressed through a Doppler Effect equation where the signs in the numerator and denominator depend on whether the source and receiver are moving towards or away from each other. The document then provides examples of applying the Doppler Effect equation to different scenarios involving a stationary or moving source and receiver, including calculating the frequency detected by a female whale from a sound wave emitted by a male whale as they move towards each other to mate
The document summarizes information about the population of Calgary, Canada in 1995:
- In 1995, the population of Calgary was 828,500 and was increasing at a rate of 2.2% per year.
- It provides questions to calculate how long it would take for the population to double, when it would reach 1 million, and write the population equation as an exponential function.
1. The lecture covered sound waves and their properties including speed of sound in different mediums, intensity, loudness, standing waves in pipes, and the Doppler effect.
2. Honors papers are due on Friday, November 12th by email. There will be a special quiz after Thanksgiving.
3. The speed of sound is higher in helium than in air, so the fundamental frequency of a pipe would decrease if the air inside was replaced with helium.
Timmy is riding waves at the beach and his father determines he is oscillating at 3.0 Hz. A coastguard 200m away sees Timmy's position change by 6.7 degrees between his highest and lowest points. Using trigonometry and the angular frequency, the document calculates Timmy's amplitude as 11.7m. Timmy's maximum velocity is then determined to be 221 m/s by multiplying the angular frequency by the amplitude.
Whales A and B are calling out to their lost baby whale C. For their calls to cancel out and not reach whale C, whales A and B must be 44.5x meters apart, where x is an integer. For their calls to combine and be the loudest when reaching whale C, whales A and B must be 89x meters apart, where x is an integer. The document explains how wavelength is used to calculate the distances between whales A and B for destructive and constructive interference of the sound waves to occur when reaching whale C.
Dogs can hear higher frequency sounds than humans because they can detect frequencies up to 60,000 Hz while humans are limited to 20-20,000 Hz. A sound wave is a longitudinal pressure wave consisting of compressions and rarefactions that can be characterized by its frequency, wavelength, amplitude, and speed. The document then provides an example problem calculating the frequency of a whistle based on given properties of air, determining that the frequency is within the hearing ranges of both dogs and bats but not humans.
Dogs can hear higher frequencies than humans because their hearing range is 40-60,000 Hz while humans can generally hear 20-20,000 Hz. This means dogs can hear sounds that are too high in frequency for humans to detect. The document then provides information on sound waves, terms related to sound, and works through an example problem to calculate the frequency of a whistle and determine if a human, dog, or bat could hear it (24.2 kHz frequency, which humans cannot hear but dogs and bats can).
The Doppler effect describes how the frequency of a wave (such as sound) is altered by the relative motion between the source of the wave and the observer. When an ambulance's siren passes by, its frequency is higher as it approaches and lower as it moves away due to the Doppler effect. The effect can be calculated using equations that take into account the velocity of the source, receiver, and sound itself. An example calculation demonstrates how a driver would observe different frequencies for an approaching versus passing ambulance.
The Doppler Effect describes how the frequency of a wave is altered depending on the relative motion between the source of the wave and the receiver. When the source and receiver are moving towards each other, the received frequency is higher than the emitted frequency. When they are moving away from each other, the received frequency is lower. This phenomenon can be expressed through a Doppler Effect equation where the signs in the numerator and denominator depend on whether the source and receiver are moving towards or away from each other. The document then provides examples of applying the Doppler Effect equation to different scenarios involving a stationary or moving source and receiver, including calculating the frequency detected by a female whale from a sound wave emitted by a male whale as they move towards each other to mate
The document summarizes information about the population of Calgary, Canada in 1995:
- In 1995, the population of Calgary was 828,500 and was increasing at a rate of 2.2% per year.
- It provides questions to calculate how long it would take for the population to double, when it would reach 1 million, and write the population equation as an exponential function.
1. The lecture covered sound waves and their properties including speed of sound in different mediums, intensity, loudness, standing waves in pipes, and the Doppler effect.
2. Honors papers are due on Friday, November 12th by email. There will be a special quiz after Thanksgiving.
3. The speed of sound is higher in helium than in air, so the fundamental frequency of a pipe would decrease if the air inside was replaced with helium.
Timmy is riding waves at the beach and his father determines he is oscillating at 3.0 Hz. A coastguard 200m away sees Timmy's position change by 6.7 degrees between his highest and lowest points. Using trigonometry and the angular frequency, the document calculates Timmy's amplitude as 11.7m. Timmy's maximum velocity is then determined to be 221 m/s by multiplying the angular frequency by the amplitude.
This document discusses the phenomenon of interference, which occurs when two coherent waves superimpose to form a resultant wave of greater or lower amplitude. It defines interference and describes conditions like coherent sources, polarization, amplitudes, and path differences that must be met. Young's double slit experiment is explained as demonstrating constructive and destructive interference based on differing path lengths. Applications of interference principles are outlined, including uses in antireflection coatings, holography, laser interferometry, and optical coherence tomography.
1. Interference occurs when two waves meet and their displacements are combined according to the principle of superposition.
2. There are two types of interference: constructive and destructive. Constructive interference occurs when displacements are in the same direction, increasing amplitude. Destructive interference occurs when displacements are in opposite directions, decreasing or canceling amplitude.
3. Young's double-slit experiment demonstrates wave interference using a laser and double slit. It produces bright and dark fringes resulting from constructive and destructive interference of the light waves.
The document discusses the principles of interference and superposition of waves. It begins by explaining that when two or more waves meet at a point, the resultant displacement is the sum of the individual wave displacements. It then describes experiments investigating the interference patterns produced by water waves with varying wavelengths and distances between sources. The key findings are that the distance between nodes/antinodes increases with wavelength and decreases with source separation. The document concludes by explaining Young's double-slit experiment, which demonstrated interference of light waves.
1. Light has both wave and particle properties, though historically there were separate theories proposing one or the other.
2. Thomas Young's double slit experiment provided early evidence of light's wave nature by producing interference patterns. Other experiments like thin film interference and diffraction around obstacles further supported this.
3. Albert Einstein explained the photoelectric effect by proposing light also behaves as discrete packets of energy called photons, providing evidence of its particle nature.
This document discusses interference, which occurs when two or more waves overlap. There are two types of interference: constructive and destructive. Constructive interference occurs when waves are displaced in the same direction and amplitudes add, while destructive interference occurs when they are displaced in opposite directions and amplitudes subtract. The document provides examples of interference in light, radio, acoustic, and water waves. It describes Young's double-slit experiment, which demonstrated that light behaves as waves that can interfere and was evidence against the particle theory of light.
This document discusses interference of light waves. It explains that Thomas Young first described the properties of light interference using a double slit experiment. The experiment showed that light behaves as waves by producing bright and dark interference fringes on a screen. Constructive interference occurs when crest meets crest or trough meets trough, creating brighter areas. Destructive interference happens when crest meets trough, producing darker fringes. For an interference pattern to be stable, the light waves must have a single wavelength and maintain a constant phase relationship.
This document discusses light wave interference and the conditions required for it to occur. It describes how light waves from multiple sources can interfere to produce bright and dark fringe patterns. The bright fringes indicate constructive interference where wave amplitudes combine, while dark fringes represent destructive interference where waves cancel out. For interference to take place, the light sources must be coherent and monochromatic, meaning they have a constant phase difference and same wavelength.
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.
This document discusses key concepts about sound, including:
- Sound is caused by fluctuations in air pressure that propagate as waves. Frequency, wavelength, and speed are closely related characteristics of sound waves.
- Humans hear different frequencies as different pitches. Higher frequencies are heard as higher pitches like whistles, while lower frequencies have lower pitches like rumbling trucks.
- The loudness we perceive depends on both the frequency and amplitude of sound waves. The human ear is most sensitive to frequencies between 300-3,000 Hz, which encompasses most of the frequencies in speech.
1. When two waves meet at a point in space, their amplitudes add vectorially. Constructive interference occurs when the path difference is an integral multiple of the wavelength, producing loud sounds. Destructive interference occurs when the path difference is an odd multiple of half the wavelength, producing soft sounds.
2. As frequency increases, wavelength decreases. This causes the positions of constructive and destructive interference to shift towards the central axis as the microphone passes through them.
3. Increasing the slit separation in a double-slit experiment doubles the fringe separation in the interference pattern. The slit width does not affect fringe separation but decreases intensity.
The document describes harmonic waves and provides an example involving echolocation in bats. It defines harmonic waves using the equation D(x) = A sin(kx) and discusses key terms like amplitude, wavelength, wave number, and speed. For the bat example, it calculates that the speed of the sound wave is 75,000 m/s, the wave number is 0.84 rad/m, and the equation for the travelling wave is D(x, t) = 0.9sin(4.19x- 0.000126t). It also sketches the function.
The document discusses various concepts related to waves including:
1. The amplitude of a wave is inversely proportional to its distance from the source. When amplitude doubles, distance halves.
2. Resonance frequencies of an open organ pipe are calculated based on quarter and three quarter wavelengths.
3. For three different waves, the ratios of their frequencies and wavelengths are given.
4. The detection of waves depends on the number of compressions and rarefactions detected per unit time.
5. Malus' law describes how the intensity of polarized light emerging from polarizers depends on the angle between their polarization axes.
Ch 17 Linear Superposition and InterferenceScott Thomas
This document discusses principles of wave interference including:
1. The principle of linear superposition states that when waves overlap, the resulting displacement is the sum of the individual displacements.
2. Constructive and destructive interference occur when waves are in phase or out of phase, respectively, increasing or decreasing the amplitude.
3. Diffraction is the bending of waves around barriers, causing diffraction patterns from interference of diffracted waves.
4. Beats occur when two nearly matched frequencies are superimposed, producing a characteristic loud-soft pattern from their interference.
The document describes a scenario where a person is swimming with one ear in the water and one out. A boat 50 meters away lowers its anchor, making a noise. It then asks a series of questions:
1) Which ear will hear it first? The ear underwater since sound travels faster in water.
2) What is the time difference? The ear above water will hear it 0.04 seconds later.
3) If the underwater sound has a frequency of 1500Hz and displacement of 2.0x10-11m, what is the pressure amplitude? 0.279 Pa.
4) If the person was 50m vertically above the boat instead of horizontally, would the sound be louder
1. The lecture covered sound waves and their properties including the speed of sound in different mediums, intensity, loudness, standing waves in pipes, and the Doppler effect.
2. Honors papers are due on Friday, November 12th by email and there will be a special quiz after Thanksgiving.
3. Key equations include the speed of sound, intensity, loudness in decibels, frequencies of standing waves in open and closed pipes, and the Doppler effect formula relating source and observer frequencies.
Waves can be transverse or longitudinal. Transverse waves have vibrations perpendicular to the direction of travel, like water waves. Longitudinal waves have vibrations parallel to travel, like sound waves. The characteristics of all waves include amplitude, wavelength, frequency, period, and speed. Wavelength is the distance between two peaks, frequency is the number of waves passing a point per second, and speed equals wavelength times frequency.
Waves can be transverse or longitudinal. Transverse waves have vibrations perpendicular to the direction of travel, like water waves. Longitudinal waves have vibrations parallel to travel, like sound waves. The characteristics of all waves include amplitude, wavelength, frequency, period, and speed. Wavelength is the distance between two peaks, frequency is the number of waves passing a point per second, and speed equals wavelength times frequency.
This document discusses 2D wave interference. It explains that in 3D waves propagate in different orientations resulting in varying phase differences based on position, unlike 1D waves where phase does not change with time or position. Constructive interference occurs when waves are in phase at a point, while destructive interference is when one wave is positive and the other negative at a point. For two spherical waves, the path difference between sources and a point of interference must be an integer multiple of the wavelength for constructive interference or half-integer multiple for destructive interference. The document provides an example where the path difference between sources for destructive interference at a speaker is half a wavelength.
This document provides an overview of wave motion concepts including wave propagation, types of waves, wave terminology, speed of transverse waves, standing waves, and resonance. Key points covered include:
- Transverse waves have vibration perpendicular to propagation direction, while longitudinal waves have parallel vibration.
- Period, frequency, wavelength, speed, and phase are defined for waves.
- The speed of a transverse wave depends on the tension and linear mass density of the string.
- Standing waves occur at resonant frequencies when the string length is an integer multiple of half wavelengths.
Notes for JEE Main 2014 Physics - Wave Motion Part IEdnexa
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.
This document discusses the phenomenon of interference, which occurs when two coherent waves superimpose to form a resultant wave of greater or lower amplitude. It defines interference and describes conditions like coherent sources, polarization, amplitudes, and path differences that must be met. Young's double slit experiment is explained as demonstrating constructive and destructive interference based on differing path lengths. Applications of interference principles are outlined, including uses in antireflection coatings, holography, laser interferometry, and optical coherence tomography.
1. Interference occurs when two waves meet and their displacements are combined according to the principle of superposition.
2. There are two types of interference: constructive and destructive. Constructive interference occurs when displacements are in the same direction, increasing amplitude. Destructive interference occurs when displacements are in opposite directions, decreasing or canceling amplitude.
3. Young's double-slit experiment demonstrates wave interference using a laser and double slit. It produces bright and dark fringes resulting from constructive and destructive interference of the light waves.
The document discusses the principles of interference and superposition of waves. It begins by explaining that when two or more waves meet at a point, the resultant displacement is the sum of the individual wave displacements. It then describes experiments investigating the interference patterns produced by water waves with varying wavelengths and distances between sources. The key findings are that the distance between nodes/antinodes increases with wavelength and decreases with source separation. The document concludes by explaining Young's double-slit experiment, which demonstrated interference of light waves.
1. Light has both wave and particle properties, though historically there were separate theories proposing one or the other.
2. Thomas Young's double slit experiment provided early evidence of light's wave nature by producing interference patterns. Other experiments like thin film interference and diffraction around obstacles further supported this.
3. Albert Einstein explained the photoelectric effect by proposing light also behaves as discrete packets of energy called photons, providing evidence of its particle nature.
This document discusses interference, which occurs when two or more waves overlap. There are two types of interference: constructive and destructive. Constructive interference occurs when waves are displaced in the same direction and amplitudes add, while destructive interference occurs when they are displaced in opposite directions and amplitudes subtract. The document provides examples of interference in light, radio, acoustic, and water waves. It describes Young's double-slit experiment, which demonstrated that light behaves as waves that can interfere and was evidence against the particle theory of light.
This document discusses interference of light waves. It explains that Thomas Young first described the properties of light interference using a double slit experiment. The experiment showed that light behaves as waves by producing bright and dark interference fringes on a screen. Constructive interference occurs when crest meets crest or trough meets trough, creating brighter areas. Destructive interference happens when crest meets trough, producing darker fringes. For an interference pattern to be stable, the light waves must have a single wavelength and maintain a constant phase relationship.
This document discusses light wave interference and the conditions required for it to occur. It describes how light waves from multiple sources can interfere to produce bright and dark fringe patterns. The bright fringes indicate constructive interference where wave amplitudes combine, while dark fringes represent destructive interference where waves cancel out. For interference to take place, the light sources must be coherent and monochromatic, meaning they have a constant phase difference and same wavelength.
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.
This document discusses key concepts about sound, including:
- Sound is caused by fluctuations in air pressure that propagate as waves. Frequency, wavelength, and speed are closely related characteristics of sound waves.
- Humans hear different frequencies as different pitches. Higher frequencies are heard as higher pitches like whistles, while lower frequencies have lower pitches like rumbling trucks.
- The loudness we perceive depends on both the frequency and amplitude of sound waves. The human ear is most sensitive to frequencies between 300-3,000 Hz, which encompasses most of the frequencies in speech.
1. When two waves meet at a point in space, their amplitudes add vectorially. Constructive interference occurs when the path difference is an integral multiple of the wavelength, producing loud sounds. Destructive interference occurs when the path difference is an odd multiple of half the wavelength, producing soft sounds.
2. As frequency increases, wavelength decreases. This causes the positions of constructive and destructive interference to shift towards the central axis as the microphone passes through them.
3. Increasing the slit separation in a double-slit experiment doubles the fringe separation in the interference pattern. The slit width does not affect fringe separation but decreases intensity.
The document describes harmonic waves and provides an example involving echolocation in bats. It defines harmonic waves using the equation D(x) = A sin(kx) and discusses key terms like amplitude, wavelength, wave number, and speed. For the bat example, it calculates that the speed of the sound wave is 75,000 m/s, the wave number is 0.84 rad/m, and the equation for the travelling wave is D(x, t) = 0.9sin(4.19x- 0.000126t). It also sketches the function.
The document discusses various concepts related to waves including:
1. The amplitude of a wave is inversely proportional to its distance from the source. When amplitude doubles, distance halves.
2. Resonance frequencies of an open organ pipe are calculated based on quarter and three quarter wavelengths.
3. For three different waves, the ratios of their frequencies and wavelengths are given.
4. The detection of waves depends on the number of compressions and rarefactions detected per unit time.
5. Malus' law describes how the intensity of polarized light emerging from polarizers depends on the angle between their polarization axes.
Ch 17 Linear Superposition and InterferenceScott Thomas
This document discusses principles of wave interference including:
1. The principle of linear superposition states that when waves overlap, the resulting displacement is the sum of the individual displacements.
2. Constructive and destructive interference occur when waves are in phase or out of phase, respectively, increasing or decreasing the amplitude.
3. Diffraction is the bending of waves around barriers, causing diffraction patterns from interference of diffracted waves.
4. Beats occur when two nearly matched frequencies are superimposed, producing a characteristic loud-soft pattern from their interference.
The document describes a scenario where a person is swimming with one ear in the water and one out. A boat 50 meters away lowers its anchor, making a noise. It then asks a series of questions:
1) Which ear will hear it first? The ear underwater since sound travels faster in water.
2) What is the time difference? The ear above water will hear it 0.04 seconds later.
3) If the underwater sound has a frequency of 1500Hz and displacement of 2.0x10-11m, what is the pressure amplitude? 0.279 Pa.
4) If the person was 50m vertically above the boat instead of horizontally, would the sound be louder
1. The lecture covered sound waves and their properties including the speed of sound in different mediums, intensity, loudness, standing waves in pipes, and the Doppler effect.
2. Honors papers are due on Friday, November 12th by email and there will be a special quiz after Thanksgiving.
3. Key equations include the speed of sound, intensity, loudness in decibels, frequencies of standing waves in open and closed pipes, and the Doppler effect formula relating source and observer frequencies.
Waves can be transverse or longitudinal. Transverse waves have vibrations perpendicular to the direction of travel, like water waves. Longitudinal waves have vibrations parallel to travel, like sound waves. The characteristics of all waves include amplitude, wavelength, frequency, period, and speed. Wavelength is the distance between two peaks, frequency is the number of waves passing a point per second, and speed equals wavelength times frequency.
Waves can be transverse or longitudinal. Transverse waves have vibrations perpendicular to the direction of travel, like water waves. Longitudinal waves have vibrations parallel to travel, like sound waves. The characteristics of all waves include amplitude, wavelength, frequency, period, and speed. Wavelength is the distance between two peaks, frequency is the number of waves passing a point per second, and speed equals wavelength times frequency.
This document discusses 2D wave interference. It explains that in 3D waves propagate in different orientations resulting in varying phase differences based on position, unlike 1D waves where phase does not change with time or position. Constructive interference occurs when waves are in phase at a point, while destructive interference is when one wave is positive and the other negative at a point. For two spherical waves, the path difference between sources and a point of interference must be an integer multiple of the wavelength for constructive interference or half-integer multiple for destructive interference. The document provides an example where the path difference between sources for destructive interference at a speaker is half a wavelength.
This document provides an overview of wave motion concepts including wave propagation, types of waves, wave terminology, speed of transverse waves, standing waves, and resonance. Key points covered include:
- Transverse waves have vibration perpendicular to propagation direction, while longitudinal waves have parallel vibration.
- Period, frequency, wavelength, speed, and phase are defined for waves.
- The speed of a transverse wave depends on the tension and linear mass density of the string.
- Standing waves occur at resonant frequencies when the string length is an integer multiple of half wavelengths.
Notes for JEE Main 2014 Physics - Wave Motion Part IEdnexa
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.
The learning object includes the topic of sound waves and the intensity of a sound wave using an echolocation example. Dolphins use echolocation to communicate as they have their own signature whistle. Thus, when a calf (baby dolphin) is separated from the rest of the pod, the mother dolphin tries to relocate the calf using her signature whistle. We calculate the frequency of the sound wave, determine whether or not the calf hear the whistle, and the intensity of the sound wave.
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.
Harmonic waves are periodic waves that oscillate smoothly according to sinusoidal functions. They can be represented by a sine graph and are characterized by their amplitude, wavelength, period, frequency, and phase shift. The amplitude corresponds to the maximum displacement from equilibrium, wavelength is the shortest distance for the wave pattern to repeat, and period is the time for one full oscillation. Frequency is the number of wave cycles passing in one second. Harmonic waves propagate at a speed determined by multiplying wavelength by frequency. If frequency increases, velocity also increases to maintain the direct relationship between these characteristic wave properties.
The document covers key concepts about waves including:
1) There are two main types of waves - transverse waves where the medium oscillates perpendicular to the direction of propagation, and longitudinal waves where the medium oscillates parallel to propagation.
2) Harmonic waves can be described by an equation relating amplitude, angular frequency, position, and time.
3) When waves overlap through superposition, their amplitudes are added constructively or destructively.
4) Reflection inverts waves hitting a fixed boundary compared to waves reflecting from a free boundary.
5) Standing waves can exist in a medium with fixed endpoints, with wavelengths and frequencies of harmonics determined by the length of the medium.
The document covers key concepts about waves including:
1) There are two main types of waves - transverse waves where the medium oscillates perpendicular to the direction of propagation, and longitudinal waves where the medium oscillates parallel to propagation.
2) Harmonic waves can be described by an equation relating amplitude, angular frequency, position, and time.
3) When waves overlap through superposition, their amplitudes are added constructively or destructively.
4) Reflection inverts waves hitting a fixed boundary compared to waves reflecting from a free boundary.
5) Standing waves in a string or tube with fixed ends form when the wavelength is an integer fraction of the length.
The document discusses different types of waves including transverse waves, where the displacement is perpendicular to the wave motion, and longitudinal waves, where the displacement is parallel. It defines key wave properties like amplitude, wavelength, frequency, and speed. Constructive and destructive interference are explained. Tsunamis can be caused by earthquakes, volcanoes, and landslides. Review questions test understanding of these concepts.
This document summarizes key concepts in wave optics, including:
1. Electromagnetic waves propagate as oscillating electric and magnetic fields. Huygens' principle states that each point on a wavefront acts as a secondary source of waves.
2. Reflection and refraction of light can be explained by Huygens' principle and the requirement that light takes the same time to travel between corresponding points on wavefronts.
3. Interference patterns from coherent light sources like double slits arise from the constructive and destructive interference of light waves. Diffraction causes light to bend and spread beyond geometric shadows.
WAVES
INTRODUCTION
A wave is a period disturbance which transfers energy from one place to another.
There are two types of waves:
1. Mechanical waves
2. Electromagnetic waves
1. The document discusses different types of waves including mechanical waves, electromagnetic waves, and one, two, and three dimensional waves.
2. Key wave properties discussed include wavelength, frequency, period, amplitude, and velocity.
3. Examples are given of how energy is transformed through different mediums in communication devices and waves, such as sound being transformed to electrical and back to sound energy.
The cost of acquiring information by natural selectionCarl Bergstrom
This is a short talk that I gave at the Banff International Research Station workshop on Modeling and Theory in Population Biology. The idea is to try to understand how the burden of natural selection relates to the amount of information that selection puts into the genome.
It's based on the first part of this research paper:
The cost of information acquisition by natural selection
Ryan Seamus McGee, Olivia Kosterlitz, Artem Kaznatcheev, Benjamin Kerr, Carl T. Bergstrom
bioRxiv 2022.07.02.498577; doi: https://doi.org/10.1101/2022.07.02.498577
(June 12, 2024) Webinar: Development of PET theranostics targeting the molecu...Scintica Instrumentation
Targeting Hsp90 and its pathogen Orthologs with Tethered Inhibitors as a Diagnostic and Therapeutic Strategy for cancer and infectious diseases with Dr. Timothy Haystead.
Current Ms word generated power point presentation covers major details about the micronuclei test. It's significance and assays to conduct it. It is used to detect the micronuclei formation inside the cells of nearly every multicellular organism. It's formation takes place during chromosomal sepration at metaphase.
When I was asked to give a companion lecture in support of ‘The Philosophy of Science’ (https://shorturl.at/4pUXz) I decided not to walk through the detail of the many methodologies in order of use. Instead, I chose to employ a long standing, and ongoing, scientific development as an exemplar. And so, I chose the ever evolving story of Thermodynamics as a scientific investigation at its best.
Conducted over a period of >200 years, Thermodynamics R&D, and application, benefitted from the highest levels of professionalism, collaboration, and technical thoroughness. New layers of application, methodology, and practice were made possible by the progressive advance of technology. In turn, this has seen measurement and modelling accuracy continually improved at a micro and macro level.
Perhaps most importantly, Thermodynamics rapidly became a primary tool in the advance of applied science/engineering/technology, spanning micro-tech, to aerospace and cosmology. I can think of no better a story to illustrate the breadth of scientific methodologies and applications at their best.
PPT on Direct Seeded Rice presented at the three-day 'Training and Validation Workshop on Modules of Climate Smart Agriculture (CSA) Technologies in South Asia' workshop on April 22, 2024.
ESA/ACT Science Coffee: Diego Blas - Gravitational wave detection with orbita...Advanced-Concepts-Team
Presentation in the Science Coffee of the Advanced Concepts Team of the European Space Agency on the 07.06.2024.
Speaker: Diego Blas (IFAE/ICREA)
Title: Gravitational wave detection with orbital motion of Moon and artificial
Abstract:
In this talk I will describe some recent ideas to find gravitational waves from supermassive black holes or of primordial origin by studying their secular effect on the orbital motion of the Moon or satellites that are laser ranged.
Describing and Interpreting an Immersive Learning Case with the Immersion Cub...Leonel Morgado
Current descriptions of immersive learning cases are often difficult or impossible to compare. This is due to a myriad of different options on what details to include, which aspects are relevant, and on the descriptive approaches employed. Also, these aspects often combine very specific details with more general guidelines or indicate intents and rationales without clarifying their implementation. In this paper we provide a method to describe immersive learning cases that is structured to enable comparisons, yet flexible enough to allow researchers and practitioners to decide which aspects to include. This method leverages a taxonomy that classifies educational aspects at three levels (uses, practices, and strategies) and then utilizes two frameworks, the Immersive Learning Brain and the Immersion Cube, to enable a structured description and interpretation of immersive learning cases. The method is then demonstrated on a published immersive learning case on training for wind turbine maintenance using virtual reality. Applying the method results in a structured artifact, the Immersive Learning Case Sheet, that tags the case with its proximal uses, practices, and strategies, and refines the free text case description to ensure that matching details are included. This contribution is thus a case description method in support of future comparative research of immersive learning cases. We then discuss how the resulting description and interpretation can be leveraged to change immersion learning cases, by enriching them (considering low-effort changes or additions) or innovating (exploring more challenging avenues of transformation). The method holds significant promise to support better-grounded research in immersive learning.
Authoring a personal GPT for your research and practice: How we created the Q...Leonel Morgado
Thematic analysis in qualitative research is a time-consuming and systematic task, typically done using teams. Team members must ground their activities on common understandings of the major concepts underlying the thematic analysis, and define criteria for its development. However, conceptual misunderstandings, equivocations, and lack of adherence to criteria are challenges to the quality and speed of this process. Given the distributed and uncertain nature of this process, we wondered if the tasks in thematic analysis could be supported by readily available artificial intelligence chatbots. Our early efforts point to potential benefits: not just saving time in the coding process but better adherence to criteria and grounding, by increasing triangulation between humans and artificial intelligence. This tutorial will provide a description and demonstration of the process we followed, as two academic researchers, to develop a custom ChatGPT to assist with qualitative coding in the thematic data analysis process of immersive learning accounts in a survey of the academic literature: QUAL-E Immersive Learning Thematic Analysis Helper. In the hands-on time, participants will try out QUAL-E and develop their ideas for their own qualitative coding ChatGPT. Participants that have the paid ChatGPT Plus subscription can create a draft of their assistants. The organizers will provide course materials and slide deck that participants will be able to utilize to continue development of their custom GPT. The paid subscription to ChatGPT Plus is not required to participate in this workshop, just for trying out personal GPTs during it.
EWOCS-I: The catalog of X-ray sources in Westerlund 1 from the Extended Weste...Sérgio Sacani
Context. With a mass exceeding several 104 M⊙ and a rich and dense population of massive stars, supermassive young star clusters
represent the most massive star-forming environment that is dominated by the feedback from massive stars and gravitational interactions
among stars.
Aims. In this paper we present the Extended Westerlund 1 and 2 Open Clusters Survey (EWOCS) project, which aims to investigate
the influence of the starburst environment on the formation of stars and planets, and on the evolution of both low and high mass stars.
The primary targets of this project are Westerlund 1 and 2, the closest supermassive star clusters to the Sun.
Methods. The project is based primarily on recent observations conducted with the Chandra and JWST observatories. Specifically,
the Chandra survey of Westerlund 1 consists of 36 new ACIS-I observations, nearly co-pointed, for a total exposure time of 1 Msec.
Additionally, we included 8 archival Chandra/ACIS-S observations. This paper presents the resulting catalog of X-ray sources within
and around Westerlund 1. Sources were detected by combining various existing methods, and photon extraction and source validation
were carried out using the ACIS-Extract software.
Results. The EWOCS X-ray catalog comprises 5963 validated sources out of the 9420 initially provided to ACIS-Extract, reaching a
photon flux threshold of approximately 2 × 10−8 photons cm−2
s
−1
. The X-ray sources exhibit a highly concentrated spatial distribution,
with 1075 sources located within the central 1 arcmin. We have successfully detected X-ray emissions from 126 out of the 166 known
massive stars of the cluster, and we have collected over 71 000 photons from the magnetar CXO J164710.20-455217.
The debris of the ‘last major merger’ is dynamically youngSérgio Sacani
The Milky Way’s (MW) inner stellar halo contains an [Fe/H]-rich component with highly eccentric orbits, often referred to as the
‘last major merger.’ Hypotheses for the origin of this component include Gaia-Sausage/Enceladus (GSE), where the progenitor
collided with the MW proto-disc 8–11 Gyr ago, and the Virgo Radial Merger (VRM), where the progenitor collided with the
MW disc within the last 3 Gyr. These two scenarios make different predictions about observable structure in local phase space,
because the morphology of debris depends on how long it has had to phase mix. The recently identified phase-space folds in Gaia
DR3 have positive caustic velocities, making them fundamentally different than the phase-mixed chevrons found in simulations
at late times. Roughly 20 per cent of the stars in the prograde local stellar halo are associated with the observed caustics. Based
on a simple phase-mixing model, the observed number of caustics are consistent with a merger that occurred 1–2 Gyr ago.
We also compare the observed phase-space distribution to FIRE-2 Latte simulations of GSE-like mergers, using a quantitative
measurement of phase mixing (2D causticality). The observed local phase-space distribution best matches the simulated data
1–2 Gyr after collision, and certainly not later than 3 Gyr. This is further evidence that the progenitor of the ‘last major merger’
did not collide with the MW proto-disc at early times, as is thought for the GSE, but instead collided with the MW disc within
the last few Gyr, consistent with the body of work surrounding the VRM.
2. Mummy whale (whale A) and daddy whale (whale B) went for a swim and
lost their baby whale (whale C). The two whales decide to call out to their
child. All three whales are stationary. Whales A and B are both calling
towards whale C with a frequency of 17Hz. The sound waves produced by
both whales start at the node (so the sound waves can be represented by the
sine curve). The distance between whales B and C is 1090.25m. The speed of
sound in ocean water is 1513m/s. (Assume that no damping occurs).
3.
4. In this case, what would the distance between whales A and B have to
be so that:
1. their calls cancels out as it reaches the baby?
2. their calls combine to be the loudest possible when it reaches the
baby whale?
There will be multiple possible answers so express your answer in a
general algebraic form.
5. Answers
Q1: 44.5x m (where x is an integer)
Q2: 89x m (where x is an integer)
7. Then we can draw the following diagram showing the sound waves of the
whales.
The blue line represent whale B’s sound waves and the pink lines represents
whale A’s sound waves. The resultant wave is represented by the black line.
In order for the sounds to cancel (destructive interference), whale A must be
half a wavelength apart from whale B, or a multiple of this value.
Since half a wavelength is 89/2=44.5m, the distance between A and B
needed for destructive interference to occur is 44.5x m (where x is an
integer).
8. Explanation for Q2
In order for constructive interference to occur when the sound waves
reach whale C, the sound waves produced by whales A and B must
completely overlap each other.
We can find out how far whale B is from whale C in terms of λ :
1090.25/89=12.25 (whale C is 12.25 wavelengths away from whale B)
9. It turns out that if whale B’s sound wave starts at a node, then 12.25
wavelengths later, the wave will reach whale C at an antinode.
Again in this diagram the blue line represent whale B’s sound waves and the
pink lines represents whale A’s sound waves, and the resultant wave is
represented by the black line.
This means that as long as whale A is one (or a multiple of one) wavelength/s
away from whale B, their sound waves will double in amplitude when it
reaches whale C, as seen in the diagram.
So the distance needed between whales A and B for constructive
interference to occur is 89x m (where x is an integer).