Wave Characteristics and Equations Quiz
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Questions and Answers

Which wave among Wave 1, Wave 2, and Wave 3 has the greatest wave speed?

  • All waves have the same speed
  • Wave 2 (correct)
  • Wave 3
  • Wave 1
  • Which wave has the greatest maximum transverse string speed?

  • None of the waves have a maximum speed
  • Wave 1 (correct)
  • Wave 3
  • Wave 2
  • If the angular frequency of a wave increases, what happens to its wave speed?

  • It increases (correct)
  • It remains constant
  • Cannot be determined
  • It decreases
  • What is the relationship between wave speed and angular frequency?

    <p>Directly proportional</p> Signup and view all the answers

    Which wave has the lowest amplitude?

    <p>Wave 1 (2 cm)</p> Signup and view all the answers

    Which statement is correct regarding the characteristics of the waves?

    <p>Wave 2 travels faster than Wave 1</p> Signup and view all the answers

    What can be inferred about the waves if they are travelling in the same medium?

    <p>Wave speeds will vary</p> Signup and view all the answers

    If the wavelength of a wave increases, what happens to its wave speed in the same medium?

    <p>It increases</p> Signup and view all the answers

    What type of waves are produced by a motorboat sailing on water?

    <p>Both Longitudinal and Transverse</p> Signup and view all the answers

    Which statement correctly describes the phases at points A and B when waves are produced by a motorboat?

    <p>The phase at A is greater than the phase at B</p> Signup and view all the answers

    What is the linear density of a string if it is given as 1.3 × 10–4 kg/m?

    <p>1.3 × 10–4 kg/m</p> Signup and view all the answers

    Which formula correctly describes the velocity of sound in gases?

    <p>v = \sqrt{\frac{p}{\rho}}</p> Signup and view all the answers

    At room temperature, the speed of sound in air is proportional to which of the following?

    <p>Square root of atmospheric pressure</p> Signup and view all the answers

    If the velocity of sound in moist air is $ u_m$ and in dry air is $ u_d$, then which is true?

    <p>$\nu_m &gt; \nu_d$</p> Signup and view all the answers

    What is the ratio $ rac{I}{I_0}$ for a sound intensity level of 30 dB?

    <p>1000</p> Signup and view all the answers

    In a sine wave with amplitude A and wavelength λ, what symbolizes the wave velocity?

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

    The velocity of sound in a gas depends on which of the following?

    <p>On the density and elasticity of gas</p> Signup and view all the answers

    If at a certain point the amplitude of sound doubles and the frequency becomes one fourth, what happens to the intensity of sound?

    <p>Becomes one fourth</p> Signup and view all the answers

    What will happen to the frequency and wavelength of sound when it moves from water to air?

    <p>Frequency remains the same; wavelength decreases</p> Signup and view all the answers

    A sings with a frequency (n) and B sings with a frequency 1/8 that of A. If the amplitude of A is 'a', what will be the amplitude of B?

    <p>8a</p> Signup and view all the answers

    In two monoatomic gases with densities $ ho_1$ and $ ho_2$, if $ ho_1 = 4$ and the velocities of sound are $v_1$ and $v_2$ respectively, which relation holds true?

    <p>$ rac{v_1}{v_2} = 2$</p> Signup and view all the answers

    If sound travels in water at 1450 m/s and in air at 330 m/s, when transitioning from water to air, what effect occurs?

    <p>Decreased frequency, increased wavelength</p> Signup and view all the answers

    Which relationship correctly represents the frequency $ u$ of a wave in relation to its wavelength $ ext{λ}$?

    <p>$ u = rac{c}{ ext{λ}}$</p> Signup and view all the answers

    The time period of simple harmonic motion (SHM) for a particle is given as 12 s. What is its frequency?

    <p>$ rac{1}{12}$ Hz</p> Signup and view all the answers

    What is the fundamental frequency that can be excited in a tube open at both ends based on the provided options?

    <p>512 Hz</p> Signup and view all the answers

    How long is the air column in a closed pipe that resonates with a tuning fork of frequency 264 Hz?

    <p>31.25 cm</p> Signup and view all the answers

    What is the velocity of sound if two closed organ pipes of lengths 0.750 m and 0.770 m produce 3 beats per second?

    <p>346.5 m/sec</p> Signup and view all the answers

    What is the minimum length of a tube open at both ends that resonates with a tuning fork of frequency 350 Hz?

    <p>50 cm</p> Signup and view all the answers

    What is the apparent change in pitch of sound due to relative motion between the observer and the source called?

    <p>Doppler's effect</p> Signup and view all the answers

    If a siren emits waves of frequency 1000 Hz and a car driver approaches at 90 km/hour, what frequency is heard by the driver?

    <p>1076 Hz</p> Signup and view all the answers

    What is the highest overtone that can be excited in a closed pipe?

    <p>Second overtone</p> Signup and view all the answers

    What is the frequency of the underwater sonar source operating at 60 kHz directed towards the surface?

    <p>60000 Hz</p> Signup and view all the answers

    Which frequency corresponds to the sound that the closed pipe can resonate?

    <p>80 Hz</p> Signup and view all the answers

    Identify the wave equation with the highest amplitude from the given options.

    <p>y = (4mm) sin(10x - 20t)</p> Signup and view all the answers

    Which wave disturbance describes a wave function given as y(x, t) = 0.02 cos(50πt + π/2) cos(10πx)?

    <p>A standing wave</p> Signup and view all the answers

    In the wave displacement equations provided, which has the simplest form with no coefficients mentioned?

    <p>y = (1mm) sin(8x - 16t)</p> Signup and view all the answers

    What frequency will an observer hear if a source of sound with a frequency of 500 Hz is moving towards them at 30 m/s, with the speed of sound being 330 m/s?

    <p>550 Hz</p> Signup and view all the answers

    How many beats will be heard by a passenger in a bus moving towards a wall when a horn of frequency 165 Hz is sounded, given the speed of sound is 335 m/s?

    <p>5</p> Signup and view all the answers

    What will happen to the observed frequency if a source is moving away from a stationary observer at half the velocity of sound?

    <p>one-third</p> Signup and view all the answers

    Which statement correctly describes how the Doppler effect for light differs from that for sound?

    <p>The relative frequency shift is smaller for light than for sound.</p> Signup and view all the answers

    An observer moving towards a stationary sound source with a speed one-fifth of the speed of sound hears a frequency $ ext{f}$ from the source. What happens to the observed frequency?

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

    What is the observed frequency of a siren emitting sound at 800 Hz when it moves away at a speed of 30 m/s and the listener is stationary?

    <p>770 Hz</p> Signup and view all the answers

    What is the maximum frequency shift achievable when a sound source approaches an observer at the speed of sound?

    <p>double the original frequency</p> Signup and view all the answers

    In what scenario can the speed of sound in air be considered valid when analyzing sound frequency shifts?

    <p>Only when temperature is constant</p> Signup and view all the answers

    Study Notes

    Wave and its Characteristics

    • Water waves can be transverse, longitudinal, or a combination of both.
    • Sound waves are not polarized because they require a medium for propagation and are longitudinal.
    • The time between a lightning flash and the sound of thunder can be used to calculate the distance of the flash. A thunderclap heard 5.5 seconds after a flash means the flash is 1780 meters away.

    Progressive Wave

    • The equation Y= 4sin (π/6(tx/8π))x, y are in centimeters. The wavelength is 18 centimeters. Amplitude is 4 cm. Velocity is 20 (cm/s). Frequency is 20Hz.
    • The equation of a progressive wave can be modified with different amplitude and frequency. The equation will be y = 0.5 cos(πt – πx).

    Longitudinal and Transverse Waves

    • Transverse waves can only propagate in solids.
    • Transverse waves can propagate in solids but not in gases.
    • Transverse waves are waves that travel perpendicular to the direction of the wave.
    • Longitudinal waves travel parallel to the direction of the wave.

    Sound Waves

    • The speed of sound in air is proportional to the square root of the atmospheric pressure.
    • If the frequency of a sound wave is 300 Hz, and if the speed of another wave is 150 Hz, the speed will remain the same.
    • A wave with a frequency of 500Hz travels between points X and Y. The distance between X and Y is 600 m, and the time it takes is 2 s. The number of wavelengths in the distance is 1000.

    Reflection of Waves

    • The distance between a man on a cliff and the point where the sound is reflected is 680 meters, given a sound velocity of 340 meters/second.

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