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Questions and Answers
Which of the following statements about waves is true?
Which of the following statements about waves is true?
- Waves require a medium to propagate both energy and matter.
- Waves transmit disturbances without transporting the medium. (correct)
- Waves transport matter from one point to another.
- Waves can only transport energy, not information.
What distinguishes longitudinal waves from transverse waves?
What distinguishes longitudinal waves from transverse waves?
- Longitudinal waves require a solid medium for propagation.
- Longitudinal waves can only be produced in liquids or gases.
- Longitudinal waves have particles vibrating at right angles to the wave direction.
- Longitudinal waves involve particles vibrating parallel to the direction of wave motion. (correct)
What is the wavelength of a wave if the distance between two consecutive crests is 4.0 m?
What is the wavelength of a wave if the distance between two consecutive crests is 4.0 m?
- 4.0 m (correct)
- 1.0 m
- 8.0 m
- 2.0 m
Calculate the frequency of a wave with a period of 4.0 seconds.
Calculate the frequency of a wave with a period of 4.0 seconds.
Which of the following correctly defines amplitude in the context of wave properties?
Which of the following correctly defines amplitude in the context of wave properties?
How far from the end of the pool is the wave machine if it takes 8.0 seconds for a wave to return and travels at 4.5 m/s?
How far from the end of the pool is the wave machine if it takes 8.0 seconds for a wave to return and travels at 4.5 m/s?
Which of the following waves is an example of a transverse wave?
Which of the following waves is an example of a transverse wave?
What is the relationship between frequency and period in wave motion?
What is the relationship between frequency and period in wave motion?
What is the amplitude of a wave if its maximum displacement from rest is 1.0 cm?
What is the amplitude of a wave if its maximum displacement from rest is 1.0 cm?
If a transverse wave has a frequency of 10 Hz, what is its period?
If a transverse wave has a frequency of 10 Hz, what is its period?
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Study Notes
Wave Properties
- Wave motion is a disturbance transmitted through a medium without the medium itself being transported.
- There are two types of waves:
- Transverse waves: particles vibrate perpendicular to the direction of wave motion. Examples include electromagnetic radiation and seismic S-waves.
- Longitudinal waves: particles vibrate parallel to the direction of wave motion. Examples include sound waves and seismic P-waves.
Wave Characteristics
- Displacement: The distance of an oscillating particle from its equilibrium position.
- Amplitude (A): The maximum distance of the particle from its equilibrium position.
- Wavelength (λ): The distance between two successive identical points on a wave, like the distance from one crest to the next.
- Period (T): The time taken for one complete cycle of oscillation, which is also the time taken for the wave to move forward one wavelength.
- Frequency (f): The number of complete cycles performed per unit time. It is the reciprocal of the period (f = 1/T).
- Wavefront: Imaginary lines drawn through identical points on waves, like through each crest. They are perpendicular to the direction of wave motion.
Wave Speed
- Wave speed (v): The distance the wave travels per unit time. It can be calculated using the formula v = λf, where λ is the wavelength and f is the frequency.
Example Applications & Problems
- Finding Wavelength and Amplitude: Graphs can be used to identify wavelength and amplitude in different waves using the definitions of these characteristics provided above.
- Calculating Frequency, Period, and Wave Speed: The formulas T = 1/f, f = 1/T, and v = λf can be used to find the frequency, period, and wave speed given information about the wave.
- Wave Reflections: Wave reflections occur when waves bounce off a barrier, which can be used to determine the distance between the wave source and the barrier.
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