Understanding Waves: Transverse, Longitudinal, Displacement

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Questions and Answers

Which type of wave requires a medium to travel?

  • Transverse waves
  • Stationary waves
  • Electromagnetic waves
  • Longitudinal waves (correct)

Stationary waves transfer energy from one point to another.

False (B)

Define wavelength in terms of points in phase.

Distance between two consecutive points in phase

In a longitudinal wave, a region where the pressure is greater than the surrounding pressure is called a ______.

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

Match the wave type with the direction of particle vibration relative to the wave's direction of travel:

<p>Transverse Wave = Perpendicular Longitudinal Wave = Parallel</p> Signup and view all the answers

What does the phase difference between two points on a wave indicate?

<p>How much of a wave cycle is completed between the points (A)</p> Signup and view all the answers

Amplitude is a vector quantity.

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

What is the relationship between frequency and time period?

<p>Frequency is the reciprocal of the time period.</p> Signup and view all the answers

The time taken for one complete wave to form is known as the ______.

<p>time period</p> Signup and view all the answers

Match the term with its description:

<p>Amplitude = Maximum displacement from the mean position Wavelength = Distance between two consecutive points in phase Time Period = Time for one complete wave to form</p> Signup and view all the answers

A wave completes one transition. What is its phase difference in degrees?

<p>90 (D)</p> Signup and view all the answers

The speed of a wave is the number of complete waves formed in one second.

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

State the formula relating wave speed, frequency, and wavelength.

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

The number of complete waves formed per second is called the ______ of the wave.

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

Match the formula with the quantity it calculates:

<p>$f = \frac{1}{T}$ = Frequency $v = fλ$ = Wave speed</p> Signup and view all the answers

If a wave has a time period of 0.02 seconds, what is its frequency?

<p>50 Hz (B)</p> Signup and view all the answers

In a transverse wave, particle motion is parallel to the direction of energy propagation.

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

What type of waves can travel in a vacuum?

<p>Electromagnetic waves</p> Signup and view all the answers

The maximum displacement of a particle from its mean position in a wave is called its ______.

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

Match the following wave phenomena with their descriptions:

<p>Refraction = Bending of a wave as it changes speed Diffraction = Spreading of a wave around an obstacle</p> Signup and view all the answers

What happens to the wavelength of a wave if its frequency increases while the wave speed remains constant?

<p>The wavelength decreases. (B)</p> Signup and view all the answers

Diffraction is most significant when the slit size is much larger than the wavelength.

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

Describe what happens to a wave as it undergoes refraction.

<p>The wave bends due to a change in speed.</p> Signup and view all the answers

The spreading of a wave as it passes through a narrow opening or around an obstacle is known as ______.

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

Match the uses with the region of the electromagnetic spectrum

<p>FM radio = Radio waves Microwave ovens = Microwaves TV remotes = Infrared waves Killing bacteria = Ultraviolet</p> Signup and view all the answers

Which of the following electromagnetic waves has the shortest wavelength?

<p>X-rays (D)</p> Signup and view all the answers

Electromagnetic waves require a medium for propagation.

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

What is the name of the phenomenon where the observed frequency of a wave changes due to relative motion between the source and the observer?

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

The color shift towards longer wavelengths in the spectrum of light from distant galaxies is known as ______.

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

Match the application with the appropriate electromagnetic wave:

<p>Medical imaging = X-rays Wireless communication = Radio waves</p> Signup and view all the answers

According to Malus's Law, what is the intensity of light after passing through a polarizer if the original light is unpolarized and has an intensity of $I_0$?

<p>$I_0/2$ (C)</p> Signup and view all the answers

Longitudinal waves can be polarized.

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

State Malus's Law.

<p>$I = I_0 cos^2(θ)$</p> Signup and view all the answers

The process of restricting the oscillations of a wave to one plane is called ______.

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

Match the application with the phenomenon of light it utilizes

<p>Glare reduction in sunglasses = Polarization Rainbow formation = Refraction</p> Signup and view all the answers

What type of wave is sound?

<p>Longitudinal (A)</p> Signup and view all the answers

Electromagnetic waves are always longitudinal.

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

In the context of wave motion, what is meant by 'displacement?'

<p>The distance moved by a particle from its mean position.</p> Signup and view all the answers

When a wave bends as it moves from one medium to another, this is called ______.

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

Match the type of electromagnetic radiation with its typical wavelength:

<p>Radio Waves = 10^3 m X-Rays = 10^-10 m</p> Signup and view all the answers

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Flashcards

Progressive Waves

Waves transfer energy from one place to another.

Stationary Waves

Waves that do not transfer energy.

Transverse Waves

Vibration/motion of particles is perpendicular to the direction of travel of the wave/to the direction of propagation of energy.

Longitudinal Waves

Vibration/Motion of particles is parallel to the direction of travel of waves/to direction of propagation of energy. They require a medium to travel.

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Displacement-distance

Distance at a particular time.

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Displacement

Distance moved by a particle from its mean position.

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Distance

Distance moved along the wave.

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Amplitude

Maximum displacement of a particle from its mean position in a wave. Scalar.

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Wavelength (λ)

Distance between 2 consecutive points in phase.

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Phase Difference

Basically, it tells how much of a wave is completed.

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Time Period (T)

The time taken for one complete wave to form. (Seconds).

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Frequency

The number of complete waves formed in 1 second.

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Diffraction

Spreading of a wave into a region where it would have not been experienced if it travelled in straight lines as it passes a narrow slit or edge.

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Polarisation

It is the process of confining the oscillations of particles in one direction only.

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Intensity of a wave

It is the power incident per unit area. Scalar (W/m²).

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Study Notes

Waves

  • Progressive waves transfer energy from one place to another.
  • Stationary waves do not transfer energy.

Transverse Waves

  • Vibrations or motion of particles are perpendicular to the direction of travel of the wave, and its propagation of energy.
  • They can travel in a vacuum, examples include electromagnetic spectrum and water waves.

Longitudinal Waves

  • Vibrations or motion of particles are parallel to the direction of travel of the waves, and its propagation of energy.
  • They require a medium to travel, examples include sound waves.
  • Compression: pressure is greater than surrounding pressure.
  • Rarefaction: pressure is lesser than surrounding pressure.

Displacement-Distance

  • At a particular time, displacement refers to the distance moved by a particle from its mean position.
  • Distance is the length moved along the wave.
  • Amplitude is the maximum displacement of a particle from its mean position in a wave; it's a scalar quantity.
  • Wavelength is the distance between two consecutive points in phase.
  • Phase difference indicates how much of a wave is completed:
    • 0° = 0% wave
    • 360° = 100% wave
  • One transition (½ wave) = ½ * 360° = 90°

Phase Difference

  • Phase Difference = (Δx / λ) * 360°, where Δx is the path difference and λ is the wavelength.
  • 3.75 - 1.65 / 4 * 360° = 189°

Displacement - Time

  • At a particular distance, displacement refers to the distance moved by one particle.
  • Phase difference shows how much of a wave is completed:
    • 0° = 0% wave
    • 360° = 100% wave.
  • Phase difference = (Δt / T) * 360°, where Δt is the time difference and T is the period.
  • Time Period (T): time taken for one complete wave to form (seconds).
  • Frequency: The number of complete waves formed in 1 second.
    • f = number of complete waves / total time = 1 / T

Phase Difference Between Two Waves

  • Phase difference = (Δx / λ) * 360°
  • 2/4 * 360° = 180°
  • Phase difference = (Δt / T) * 360°
  • 2/4 * 360° = 180°

Velocity of a Wave

  • Speed = Distance / Time
  • v = λ * (1/T) => v = fλ
  • Speed = Distance / Time
  • v = fλ

Intensity of a Wave

  • It is the power incident per unit area; a scalar quantity measured in Watts per square meter (W/m^2).
    • I = P/A => P = dW/dt => I = dW / (A*dt)
    • In most cases, Surface Area (SA) is 4Ï€r^2 (surface area of a sphere).
  • Learn the relationships of a wave:
    • I α amplitude^2
      • I = Ka^2 , I1/a1^2 = K = I2/a2^2
    • Ialpha 1/distance^2
      • I = A/r^2, I1r1^2 = K = I2r2^2
    • I α frequency (not as important)

Doppler Effect

  • Change in the observed frequency due to relative motion between observer and source.
  • Approach: fo = [(v)/(v-vs)] * fs
  • Separation: fo = [(v)/(v+vs)] * fs
    • fo: observed frequency
    • fs: source frequency
    • v: speed of wave in the medium
    • vs: speed of the source (constant)

Redshift

  • Wavelength of light stretched to longer wavelengths due to separation velocity between galaxies.

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