Wave Properties Quiz
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periodic time

the time taken (in seconds) for one complete cycle of a wave, vibration, or oscillation

T = 1/f

Time period, T (in seconds) and frequency, f (in hertz)

wave speed

the distance (in metres) travelled by a wave in one second (s)

wavelength

the distance (in metres) between two nearest corresponding points on a wave, e.g. the distance between two peaks (crests)

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frequency

the number of waves produced in one second or the number of waves that pass a point each second

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amplitude

the maximum displacement of a wave from its undisturbed position

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oscillation

a regular repetitive motion, e.g. a weight on a spring bouncing up and down, or a pendulum swinging backwards and forwards

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transverse

a wave in which the direction of oscillations is perpendicular (at right angles) to the direction of the wave

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longitudinal

a wave in which the direction of oscillations is parallel to the direction of the wave

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displacement

the oscillating distance of a point on a wave from its undisturbed position

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coherence

two or more sources of waves that have the same frequency and are in phase or have a constant phase difference

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path difference

the difference between the distances that two waves have travelled when they meet at a point (usually measured as a multiple of wavelengths)

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phase difference

the amount by which one wave leads or lags (falls behind) another wave (usually measured in degrees, where 360⁰ corresponds to one full wave cycle)

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in phase

when two waves have zero phase difference

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antiphase (completely out of phase)

when two waves have a phase difference of 180⁰ (half a wave cycle)

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superposition

when two or more waves combine; their displacements are added together (displacements can cancel each other out)

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constructive interference

when the superposition of two waves cause the displacement to increase (greater amplitude)

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destructive interference

when the superposition of two waves cause the displacement to decrease (smaller amplitude, even zero)

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diffraction grating

an optical device that has a periodic structure of many slits which splits and diffracts light into several beams. Different frequencies (wavelengths) of light diffract by different amounts

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emission spectra

the range of frequencies of light emitted by an element because of electrons moving between energy levels within atoms

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identifying gases

each element has a unique emission spectra and so by analysing the light given off all the elements can be identified

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wave equation

v is the wave speed (velocity) in metres per second (m/s), f is frequency in hertz (Hz), and λ is wavelength in metres (m)

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stationary (standing) wave

the superposition of a wave and its reflection to form a steady interference pattern of nodes and antinodes

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node

points on a stationary wave with zero amplitude (two nodes are half a wavelength apart)

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antinode

points on a stationary wave with maximum amplitude (two antinodes are half a wavelength apart)

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resonance

when a system is periodically forced at a frequency that causes a massive increase in amplitude (e.g. when you push someone on a swing)

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speed of wave on a string

v is the wave speed (velocity) in metres per second (m/s), T is the tension in the string in newtons (N), and 𝜇 is the mass per unit length of the string in kilograms per metre (kg/m)

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refraction

the change in direction of light (a wave) when there is a change of speed as it crosses a boundary between different media (e.g. passing from air into glass)

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refractive index (of medium)

the ratio of speed of light in a vacuum, c, to the speed of light in the medium, v. (c/v)

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total internal reflection

when light reflects within a medium (of greater refractive index) instead of refracting across the boundary into another medium (of lower refractive index)

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critical angle

the angle of incidence that causes an angle of refraction of 90⁰, total internal reflection occurs when the angle of incidence is greater than the critical angle

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optical fibre

thin fibre of glass that relies upon total internal reflection so light rays can pass down the length of it

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endoscope

an optical device made of bundles of optical fibres. Light is sent into a hard to see place (usually the body) it then reflects and returns via a second bundle of fibres

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analogue signal

a signal that continuously varies in both amplitude and frequency

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digital signal

a signal that is made up of a stream of binary data in the form of zeros and ones

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analogue-to-digital conversion

analogue signals are sampled (values taken) continuously at fixed intervals of time. The values are then converted into binary values (1s and 0s) so they can be sent as a digital signal

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electromagnetic spectrum

there are seven types of electromagnetic waves, each with a range of frequencies, that make up a spectrum; radio-waves, microwaves, infrared, visible light, ultraviolet, x-rays, and gamma rays

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speed of light (in a vacuum)

all electromagnetic waves travel at the same speed of light in a vacuum, 3x10⁸ m/s

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inverse square law

k is a constant (does not change) for a particular source of a wave, the intensity of a wave will reduce in line with the square of the distance, r. (E.g. if the distance doubles then the intensity will reduce by a factor of 4)

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kilohertz (kHz)

1,000 Hz (kilo = 1,000)

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megahertz (MHz)

1,000,000 Hz (mega = 1 million)

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gigahertz (GHz)

1,000,000,000 Hz (giga = 1 billion)

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terahertz (THz)

1,000,000,000,000 Hz (tera = 1 trillion)

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satellite communication

high powered microwave and radio-wave signals are used to communicate long distances with satellites. Upload and download signals are transmitted at different frequencies. Radio-waves can be used for low orbit satellites. Microwaves are needed for high orbit satellites so that the signal can pass through the atmosphere

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mobile phones

base stations transmit and receive signals over a limited range and allow phones to communicate across phone provider networks, which are allocated a band of frequencies in the radio/microwave region

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Bluetooth

lower power devices communicate over a short range (about 10 m) directly with other devices e.g. mobile phone to ear buds. 'Frequency-hopping' is used to reduce interference with Wi-Fi signals that use similar frequencies of microwaves

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Wi-Fi

computers and mobile devices can connect using a medium power signal to the internet via a router over a range of 100 m

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infrared

low power devices like remote controls can send signals over a short range, but these signals require 'line-of-sight' and so are easily blocked and do not work well in bright sunlight

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Study Notes

Wave Properties

  • Periodic Time (T): The time taken for one complete cycle of a wave, oscillation, or vibration. Measured in seconds.
  • Frequency (f): The number of complete waves produced or passing a point per second. Measured in Hertz (Hz).
  • Relationship between T and f: T = 1/f (Time period equals one divided by frequency).
  • Wave Speed (v): The distance a wave travels in one second. Measured in meters per second (m/s).
  • Wavelength (λ): The distance between two corresponding points on a wave (e.g., crest to crest). Measured in meters (m).
  • Amplitude: The maximum displacement of a wave from its undisturbed position.
  • Oscillation: A repetitive back-and-forth motion.
  • Transverse Wave: A wave where oscillations are perpendicular to the direction of wave travel.
  • Longitudinal Wave: A wave where oscillations are parallel to the direction of wave travel.
  • Displacement: The distance a point on a wave moves from its undisturbed position.
  • Coherence: Two or more waves having the same frequency and a constant phase difference.
  • Path Difference: The difference in distances traveled by two waves when they meet.
  • Phase Difference: The amount one wave leads or lags another. Measured in degrees (360° = one full cycle).
  • In Phase: Two waves with a zero phase difference.
  • Antiphase (Completely Out of Phase): Two waves with a 180° phase difference.
  • Superposition: When two or more waves combine, and their displacements are added.
  • Constructive Interference: When superimposed waves combine to produce a larger amplitude.
  • Destructive Interference: When superimposed waves combine to produce a smaller amplitude (or zero).
  • Diffraction Grating: An optical device that splits and diffracts light into several beams with different wavelengths.

Types of Waves and Their Applications

  • (Atomic) Emission Spectra: The specific frequencies of light emitted by an element due to electron transitions within atoms. Used to identify gases.
  • Wave Equation: v = fλ (Wave speed = frequency × wavelength).
  • Stationary (Standing) Wave: A wave formed by the superposition of a wave and its reflection, creating nodes (zero amplitude) and antinodes (maximum amplitude).
  • Node: A point on a stationary wave with zero amplitude.
  • Antinode: A point on a stationary wave with maximum amplitude.
  • Resonance: When a system is forced at its natural frequency, leading to a large increase in amplitude.
  • Speed of Wave on a String: v = √(T/μ) (Wave speed is the square root of tension divided by mass per unit length).
  • Refraction: The change in direction of a wave (e.g., light) as it passes from one medium to another due to a change in speed.
  • Refractive Index (n): The ratio of the speed of light in a vacuum to the speed of light in a medium (n = c/v).
  • Total Internal Reflection: When light reflects within a denser medium instead of refracting into a less dense medium (occurs when the angle of incidence exceeds the critical angle).
  • Critical Angle: The angle of incidence that produces an angle of refraction of 90°.
  • Optical Fibre: A thin glass fibre using total internal reflection to transmit light.
  • Endoscope: An optical device using bundles of optical fibres to view hard-to-reach areas.
  • Analogue Signal: A signal that continuously varies in amplitude and frequency.
  • Digital Signal: A signal consisting of binary data (0s and 1s).
  • Analogue-to-Digital Conversion (ADC): The process of converting analogue signals to digital signals by sampling and converting values to binary.
  • Electromagnetic Spectrum: All electromagnetic waves (radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, gamma rays) with different frequencies. All travel at the speed of light in a vacuum.
  • Speed of Light (in a vacuum): 3 x 10⁸ m/s.
  • Inverse Square Law: The intensity of a wave decreases in proportion to the square of the distance from the source.
  • Units (Prefixes): kHz (kilohertz), MHz (megahertz), GHz (gigahertz), THz (terahertz).
  • Satellite Communication: Uses microwaves and radio waves for long-distance communication.
  • Mobile Phones: Base stations transmit signals over limited ranges enabling communication across networks in allocated frequency bands.
  • Bluetooth: Short-range communication using frequency-hopping to avoid interference.
  • Wi-Fi: Medium-range connection to the internet via routers.
  • Infrared: Low-power (e.g., remote controls) communication requiring line-of-sight.

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Test your understanding of the fundamental properties of waves including periodic time, frequency, wave speed, and amplitude. This quiz will cover key concepts such as transverse and longitudinal waves, providing a thorough grasp of wave mechanics.

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