Wave Calculations Quiz
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Questions and Answers

A vibration is required to create a wave.

True (A)

Waves transfer ______ but not ______.

energy, matter

The highest point of a wave is called the:

  • Crest (correct)
  • Wavelength
  • Rest position
  • Trough

The distance between two crests or two troughs is known as the:

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

What is the base unit for wavelength?

<p>meters (m)</p> Signup and view all the answers

What is the base unit for frequency?

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

The time it takes for one full wave to pass a certain point is called the frequency.

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

What is the formula to calculate the period of a wave, given the frequency?

<p>T = 1/f</p> Signup and view all the answers

What is the formula to calculate the frequency of a wave, given the period?

<p>f = 1/T</p> Signup and view all the answers

What is the formula to calculate the speed of a wave?

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

Wavelength and frequency are directly proportional.

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

Which wave has the highest frequency?

<p>Gamma Rays (C)</p> Signup and view all the answers

What is the speed of light in a vacuum?

<p>3.0 x 10⁸ m/s</p> Signup and view all the answers

Calculate the period of a wave with a frequency of 240 Hz.

<p>0.004166 s</p> Signup and view all the answers

Calculate the frequency of a wave with a period of 18 seconds.

<p>0.05556 Hz</p> Signup and view all the answers

A merry-go-round spins 4500 times in 2 hours. What is the frequency of the merry-go-round?

<p>0.625 Hz</p> Signup and view all the answers

A series of waves have a wavelength of 4 meters and a frequency of 14 Hz. What is the speed of these waves?

<p>56 m/s</p> Signup and view all the answers

The ______ of a wave is the distance between two consecutive crests or troughs.

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

The ______ of a wave is the time it takes for one full wave cycle to pass a fixed point.

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

What color of light would you see if the wavelength is 600 nm?

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

What is the speed of light in a vacuum or air?

<p>3.0 × 10⁸ m/s (C)</p> Signup and view all the answers

The wave equation is V = fλ. What is the speed of a wave with a frequency of 45 Hz and a wavelength of 14 meters?

<p>630 m/s</p> Signup and view all the answers

A radio wave has a frequency of 7.2 x 10¹⁵ Hz and travels at the speed of light. What is its wavelength?

<p>4.17 x 10⁻⁸ m</p> Signup and view all the answers

A sound wave has a speed of 330 m/s and a frequency of 0.678 kHz. What is its wavelength?

<p>0.487 m</p> Signup and view all the answers

A certain red light has a wavelength of 652 nm. What is its frequency?

<p>4.60 x 10¹⁴ Hz</p> Signup and view all the answers

A certain light from a distant galaxy has a frequency of 0.75 Hz. What is its wavelength?

<p>4.00 x 10⁸ m</p> Signup and view all the answers

A certain electromagnetic radiation has a frequency of 7.2 x 10¹⁵ Hz. What is its wavelength? What type of radiation is it?

<p>4.17 x 10⁻⁸ m, Ultraviolet</p> Signup and view all the answers

A pendulum swings back and forth 20 complete cycles in 0.011 hours. What is its period?

<p>1.985 seconds</p> Signup and view all the answers

The wave in the diagram has a total height of 3m, a wavelength of 6m, and takes 2.5 seconds to complete one full wave. What is the period of the wave?

<p>2.5 seconds</p> Signup and view all the answers

The wave in the diagram has a total height of 3m, a wavelength of 6m, and takes 2.5 seconds to complete one full wave. What is the frequency of the wave?

<p>0.4 Hz</p> Signup and view all the answers

Flashcards

What is a wave?

A disturbance that transfers energy through a medium or space.

What are the parts of a wave?

Waves have a crest (highest point), a trough (lowest point), amplitude (height from rest), wavelength (length of one wave), frequency (waves per second), and period (time for one wave).

What is amplitude?

The height of a wave from its rest position.

What is wavelength?

The distance between two consecutive crests or troughs of a wave.

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What is frequency?

The number of waves that pass a point in one second.

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What is period?

The time it takes for one complete wave cycle to pass a point.

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What is the wave equation?

The equation that relates the speed of a wave to its frequency and wavelength: v = fλ.

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What is the relationship between wavelength and frequency?

Wavelength and frequency are inversely proportional. When one increases, the other decreases.

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What is the speed of light?

The speed of light in a vacuum (or air) is a constant value of approximately 3.00 x 10^8 m/s.

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What is the speed of sound?

The speed of sound in air is approximately 340 m/s.

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How can you calculate the period of a wave?

Period (T) = 1 / Frequency (f)

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How can you calculate the frequency of a wave?

Frequency (f) = 1 / Period (T)

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How can you calculate the speed of a wave?

Speed (v) = Frequency (f) x Wavelength (λ)

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How can you calculate the wavelength of a wave?

Wavelength (λ) = Speed (v) / Frequency (f)

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How can you calculate the frequency of a wave given its speed and wavelength?

Frequency (f) = Speed (v) / Wavelength (λ)

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What are some examples of waves?

Examples of waves include sound waves, light waves, water waves, and electromagnetic waves.

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What is the electromagnetic spectrum?

The electromagnetic spectrum is a range of all types of electromagnetic radiation, from low-energy radio waves to high-energy gamma rays.

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What is the relationship between wavelength and the type of electromagnetic radiation?

Different wavelengths of electromagnetic radiation correspond to different types of radiation, such as radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.

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How are frequency and energy related for electromagnetic radiation?

Frequency and energy are directly proportional. Higher frequency electromagnetic radiation has higher energy.

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What is a crest?

The highest point of a wave.

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What is a trough?

The lowest point of a wave.

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What is the rest position of a wave?

The equilibrium position of the medium before the wave passes through.

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How do you calculate the speed of light?

The speed of light (c) is a constant value of approximately 3.00 x 10^8 m/s. You can use the equation c = fλ, where f is the frequency and λ is the wavelength, to calculate the speed of light.

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Why is the speed of light constant?

The speed of light is constant because it is a fundamental property of the universe, not affected by the motion of the source or observer.

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What is the relationship between the speed of light and the medium it travels through?

The speed of light is slightly slower in mediums other than a vacuum, such as air or water.

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What is the relationship between the speed of a wave and its medium?

The speed of a wave depends on the properties of the medium it travels through.

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Study Notes

Wave Calculations

  • Waves originate from vibrations, transferring energy from one point to another without transferring matter.
  • Key parts of a wave include:
    • Crest (peak): Highest point.
    • Trough (valley): Lowest point.
    • Amplitude: Height from rest position to crest/trough. Base unit: meters (m).
    • Wavelength (λ): Length of one full wave. Base unit: meters (m).
    • Frequency (f): Number of waves per second. Base unit: Hertz (Hz).
    • Period (T): Time to complete one full wave. Base unit: Seconds (s).
  • Formulas:
    • Speed (v) = frequency (f) × wavelength (λ) (v = fλ)
    • Frequency (f) = 1 / period (T) (f = 1/T)
    • Period (T) = 1 / frequency (f) (T = 1/f)
  • Relationship between frequency and wavelength:
    • Inversely proportional; as one increases, the other decreases.
  • Speed of light (c) is a constant 3.00 × 10⁸ m/s in a vacuum.
  • The electromagnetic spectrum categorizes waves based on frequency and wavelength, including radio, microwave, infrared, visible, ultraviolet, X-ray, and gamma rays.

Practice Questions - Multiple Choice

  • Wave properties: Energy transfer, not matter transfer.
  • Frequency increase leads to wavelength decrease (inverse relationship).
  • Light colour identification based on wavelength.

Practice Questions - Short Answer

  • Calculation of period and frequency for given conditions.
  • Speed calculation using frequency & wavelength.
  • Wave properties analysis (labeling crest, trough, rest, wavelength, and amplitude, calculation of period, and frequency) .
  • Calculation of wave speed using given values.
  • Determination of electromagnetic radiation type based on frequency.

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Wave Calculations PDF

Description

Test your understanding of wave properties and calculations in this engaging quiz. Topics include amplitude, wavelength, frequency, and the relationships between these key concepts. Dive into the electromagnetic spectrum and explore how waves transfer energy without transferring matter.

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