Waves: Properties and Behaviors
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Questions and Answers

What happens to the amount of diffraction as the wavelength of a wave increases?

  • It fluctuates randomly.
  • It increases. (correct)
  • It remains the same.
  • It decreases.
  • Diffraction is only noticeable when an opening is much larger than the wavelength of the wave.

    False (B)

    What principle states that every point of a wave front can be considered a secondary source of wavelets?

    Huygens's principle

    When the source, obstacle, and screen are far apart, the diffraction is termed ________ diffraction.

    <p>Fraunhofer</p> Signup and view all the answers

    According to Huygens' principle, how to secondary wavelets spread?

    <p>They spread in all directions. (A)</p> Signup and view all the answers

    When waves encounter the edge of an obstacle, the waves do not spread out.

    <p>False (B)</p> Signup and view all the answers

    Match the type of diffraction with the description of source, obstacle and screen distances:

    <p>Fresnel diffraction = Source and screen relatively close to the obstacle Fraunhofer diffraction = Source, obstacle, and screen are far apart</p> Signup and view all the answers

    When the wavelength of the waves is smaller than the obstacle, no noticeable ________ occurs.

    <p>diffraction</p> Signup and view all the answers

    What is the resultant displacement when two waves with displacements $y_1$ and $y_2$ overlap?

    <p>$y_1 + y_2$ (C)</p> Signup and view all the answers

    In single-slit diffraction, what condition leads to complete darkness on a screen?

    <p>m'λ = D sinθm' (B)</p> Signup and view all the answers

    According to the principle of superposition, when two waves overlap, the resultant displacement is the product of the individual displacements.

    <p>False (B)</p> Signup and view all the answers

    Out-of-phase waves always reinforce each other, leading to constructive interference.

    <p>False (B)</p> Signup and view all the answers

    What is the term used when two waves arrive at a point in phase, reinforcing each other?

    <p>constructive interference</p> Signup and view all the answers

    What is the term for the phenomenon where two or more waves overlap in space?

    <p>Interference</p> Signup and view all the answers

    The ability to distinguish two objects through an optical instrument is limited by the ______ patterns caused by the aperture.

    <p>diffraction</p> Signup and view all the answers

    For total destructive interference to occur, two coherent waves of the same amplitude must be ______ out-of-phase.

    <p>180°</p> Signup and view all the answers

    Which condition is NOT required for interference to occur?

    <p>The waves must have different amplitudes. (A)</p> Signup and view all the answers

    What does the critical angle (θcr) for resolution depend on?

    <p>The wavelength of light and the aperture diameter (A)</p> Signup and view all the answers

    The principle of superposition only applies to mechanical waves, not electromagnetic waves.

    <p>False (B)</p> Signup and view all the answers

    Match the following terms with the descriptions below:

    <p>Diffraction = Spreading of light waves as they pass through an aperture Interference = Combination of two or more waves to produce a resultant wave Superposition = The principle of combining individual wave displacements Resolution = Ability to distinguish between two objects</p> Signup and view all the answers

    The bright band in single slit diffraction is known as the ______ bright band.

    <p>central</p> Signup and view all the answers

    In the context of wave interference, what does it mean for sources to be 'coherent'?

    <p>maintaining a constant phase with respect to each other</p> Signup and view all the answers

    Match the terms with their descriptions:

    <p>Constructive Interference = Waves reinforce each other Destructive Interference = Waves cancel each other In-phase = Waves aligned Out-of-phase = Waves misaligned</p> Signup and view all the answers

    Sunlight only shows distinct colors due to refraction.

    <p>False (B)</p> Signup and view all the answers

    In Young's double-slit experiment, what causes the interference pattern observed on the viewing screen?

    <p>Combination of diffraction and interference of light waves from the two slits (D)</p> Signup and view all the answers

    In Young's double-slit experiment, the interference fringes are always perpendicular to the slits.

    <p>False (B)</p> Signup and view all the answers

    In Young's double-slit experiment, what does the value 'm' represent in the equation $y_m = \frac{Rm\lambda}{d}$?

    <p>The order of the bright fringe</p> Signup and view all the answers

    The distance between the slits and the screen in Young's experiment is represented by the variable ____.

    <p>R</p> Signup and view all the answers

    If the distance between the slits and the screen in Young's experiment is increased, what happens to the distance between the bright fringes?

    <p>The distance increases (A)</p> Signup and view all the answers

    In the given example, what is the wavelength of light calculated from the two-slit interference experiment?

    <p>633 nm (B)</p> Signup and view all the answers

    In the context of radio antennas, the intensity of radiation is always uniform in all directions.

    <p>False (B)</p> Signup and view all the answers

    Match the terms with their descriptions in the context of Young's double-slit experiment

    <p>Constructive interference = Where bright fringes occur Destructive interference = Where dark fringes occur Wavelength = Distance between successive peaks or troughs of a wave Slit separation = Distance between the two slits</p> Signup and view all the answers

    What is the angle, represented by θ, when m = -1 in the context of wave interference?

    <p>-30° (C)</p> Signup and view all the answers

    According to the Doppler effect, when a sound source moves away from a stationary observer, the perceived frequency is higher.

    <p>False (B)</p> Signup and view all the answers

    What is the relationship between frequency (f), speed of light (c), and wavelength (λ)?

    <p>c = fλ</p> Signup and view all the answers

    The Doppler effect describes the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the ________ of the wave.

    <p>source</p> Signup and view all the answers

    Match the following values of 'm' with their corresponding angles ('θ').

    <p>m = -2 = θ = -90° m = -1 = θ = -30° m = 0 = θ = 0° m = +1 = θ = +30° m = +2 = θ = +90°</p> Signup and view all the answers

    If the wavelength of an electromagnetic wave emitted by vibrating HCl molecule is 3.75 µm, what is the frequency?

    <p>8 x 10^13 Hz (D)</p> Signup and view all the answers

    What happens to the perceived frequency of a sound wave when the source is moving away from a stationary observer?

    <p>The perceived frequency decreases.</p> Signup and view all the answers

    The Doppler effect only applies to sound waves, not light waves.

    <p>False (B)</p> Signup and view all the answers

    A stationary sound source emits a frequency of 400 Hz. If an observer moves towards the source, which of the following is true?

    <p>The observed frequency will be higher than 400 Hz. (B)</p> Signup and view all the answers

    When a light source moves away from an observer, its light is blueshifted.

    <p>False (B)</p> Signup and view all the answers

    A car horn emits a sound at a frequency of fs. If the car is moving towards an observer with speed vs and the observer is moving towards the car with a speed vo, what is the general expression for the frequency that the observer hears?

    <p><em>fo = (v + vo)fs / (v + vs)</em> (where <em>v</em> is the speed of sound)</p> Signup and view all the answers

    The change in frequency due to the relative motion between a source and an observer is known as the _______ effect.

    <p>Doppler</p> Signup and view all the answers

    According to the Doppler effect, when a sound source is moving toward a stationary observer, what happens to the relationship between observed frequency and source frequency?

    <p>The observed frequency is higher than the source frequency. (D)</p> Signup and view all the answers

    Match the scenario with the correct frequency shift

    <p>Source moving towards observer = Blueshift Source moving away from observer = Redshift</p> Signup and view all the answers

    A submarine emits a sonar wave at a frequency of 1500 Hz. If the submarine is moving away from a stationary object, what will happen to the observed frequency?

    <p>The observed frequency will be lower than 1500 Hz. (C)</p> Signup and view all the answers

    Study Notes

    Vibrational Waves and Behaviour of Waves

    • Waves do not stop when reaching the end of a medium; they exhibit various behaviors.
    • Wave properties include amplitude, wavelength, frequency, period, velocity, and phase.
    • Ripple tanks are used to study water wave behavior.
    • Light shining on water in a ripple tank illuminates a white sheet below, allowing observation of wave crests and troughs.
    • Dark spots on the sheet represent wave crests, while bright spots represent wave troughs.
    • Ripple tanks demonstrate reflection, refraction, and diffraction of waves.

    Reflection of Waves

    • Reflection is the bouncing back of a wave when encountering a boundary or obstacle.
    • The angle of incidence equals the angle of reflection.
    • Waves reflect off barriers in a predictable manner, regardless of the angle of incidence.

    Refraction of Waves

    • Refraction is the change in direction of waves as they pass from one medium to another.
    • Refraction is accompanied by a change in wave speed and wavelength.
    • Water waves slow down when passing from deep to shallow water, affecting their direction.
    • Ripples slow down when passing through a shallower part of the ripple tank, where the medium is different, demonstrating wave speed dependency on the medium.

    Diffraction of Waves

    • Diffraction is the bending or spreading of waves around the edges of apertures or obstacles.
    • This behavior is more apparent in waves with longer wavelengths.
    • Water waves can travel around corners, through openings, and around obstacles.
    • The amount of diffraction increases with increasing wavelength and decreases with decreasing wavelength.
    • When comparing the behavior of long wavelength waves to short wavelength waves when encountering a barrier, long-wavelength waves will diffract more than short-wavelength ones.

    Diffraction and Huygens's Principle

    • Huygens's principle states that every point on a wave front can be considered a source of secondary wavelets that spread out in all directions.
    • The position of the wave front at a later time is the envelope of these secondary wavelets.
    • Huygens's construction allows for quantifying diffraction phenomena.

    Single-Slit Diffraction

    • When parallel light rays pass through a slit, a diffraction pattern is observed on a distant screen.
    • The pattern consists of a central bright band flanked by alternating narrow bright and dark bands.

    Interference

    • Interference is the combination of two or more waves overlapping in space.
    • The resultant wave is the sum of the individual waves.
    • Constructive interference occurs when waves are in phase, resulting in increased amplitude.
    • Destructive interference occurs when waves are out of phase, resulting in decreased amplitude.
    • The condition for constructive interference is r2 - r1 = mλ(m = 0, ±1, ±2, ...), and for destructive interference is r2 - r1 = (m + 1/2)λ(m = 0, ±1, ±2, ...).

    Young's Double-Slit Experiment

    • Young's experiment demonstrates interference using two narrow slits.
    • These slits act as coherent sources of waves.
    • The interference pattern is a series of alternating bright and dark bands called interference fringes.
    • The fringe separation, wavelength, and distance to the screen determine the relationship between the bright fringes and the wavelength of the light.

    Doppler Effect

    • The Doppler effect describes the change in frequency or wavelength of a wave perceived by an observer as the source or observer moves relative to the medium.
    • Sound waves perceived by a stationary observer will have a higher frequency when a sound source approaches and a lower frequency when it moves away.
    • For light, moving sources exhibit redshift (decreasing frequency) for receding sources and blueshift (increasing frequency) for approaching ones.

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    Description

    Explore the fascinating world of waves through this quiz on their properties and behaviors including reflection, refraction, and diffraction. Learn how ripple tanks can reveal wave characteristics like amplitude and wavelength, and understand the principles of wave behavior as they interact with boundaries and different media.

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