go to this link and watch the video:
https://www.youtube.com/watch?v=1b5xyg5wnhw
\p1: properties of waves (revision)\
then answer these questions:
1. what is the difference between a transverse and longitudinal wave? list examples of each.
2. explain the oscillations, or motion, of both types of waves.
3. the equation $v = f \times \lambda$ is used to calculate the speed of a wave. what do the symbols $f$ and $\lambda$ represent, and what unit are they measured in?

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Accepted Answer

### Question 1
# Brief Explanations:
A transverse wave has oscillations perpendicular to the wave's direction of travel (e.g., light, water waves). A longitudinal wave has oscillations parallel to the wave's direction (e.g., sound, slinky compressions).
# Answer:
- **Difference**: In a transverse wave, the particles oscillate perpendicular to the wave's direction of propagation. In a longitudinal wave, particles oscillate parallel to the wave's direction.
- **Examples**: Transverse - electromagnetic waves (light), water waves; Longitudinal - sound waves, waves in a slinky (compression - rarefaction waves).

### Question 2
# Brief Explanations:
For transverse waves, particles move up - down (perpendicular to wave direction), like a rope wave. For longitudinal waves, particles move back - forth (parallel), like pushing a slinky (compressions/rarefactions).
# Answer:
- **Transverse Wave Oscillations**: The particles of the medium (or field, for EM waves) oscillate in a direction that is perpendicular to the direction in which the wave is traveling. For example, in a wave on a string, the string segments move up and down while the wave travels horizontally.
- **Longitudinal Wave Oscillations**: The particles of the medium oscillate in a direction that is parallel to the direction of the wave's travel. In a sound wave in air, air molecules move back and forth, creating regions of compression (where molecules are close together) and rarefaction (where molecules are spread out) as the wave propagates.

### Question 3
# Brief Explanations:
In $ V = f\times\lambda $, $ f $ is frequency (number of cycles per second, unit: hertz, Hz), $ \lambda $ is wavelength (distance per cycle, unit: meter, m).
# Answer:
- **Symbol $ f $**: Represents the frequency of the wave. Frequency is the number of complete oscillations (or cycles) of the wave per unit time. The unit of frequency is the hertz (Hz), where $ 1\,\text{Hz} = 1\,\text{cycle per second} $.
- **Symbol $ \lambda $**: Represents the wavelength of the wave. Wavelength is the distance between two consecutive points in phase on the wave (e.g., two consecutive crests in a transverse wave or two consecutive compressions in a longitudinal wave). The unit of wavelength is the meter (m), although other length units (like millimeters, kilometers) can be used depending on the wave type and scale.

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