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  • Wave Speed, Wavelength & Frequency: Understanding the Relationship
    The speed of a wave is directly related to its wavelength and frequency. Here's the breakdown:

    * Wavelength (λ): The distance between two consecutive crests (or troughs) of a wave.

    * Frequency (f): The number of waves that pass a fixed point in one second.

    * Wave Speed (v): How fast the wave travels through the medium.

    The relationship is expressed by the following equation:

    v = fλ

    In simpler words:

    * Higher frequency means a faster wave: If you increase the frequency (more waves passing per second), the wave has to travel faster to keep the same distance between the crests.

    * Longer wavelength means a faster wave: If you increase the wavelength (the distance between crests is bigger), the wave has to travel faster to keep the same number of waves passing a point per second.

    Examples:

    * Sound Waves: Higher frequency sound waves have a higher pitch, and longer wavelength sound waves have a lower pitch. The speed of sound is determined by the medium it travels through (air, water, etc.).

    * Light Waves: Different colors of light have different wavelengths and frequencies. Red light has a longer wavelength and lower frequency than blue light. The speed of light in a vacuum is constant, but it can change slightly in different mediums.

    Key Takeaway:

    The speed of a wave is directly proportional to its frequency and wavelength. If you know any two of these values, you can calculate the third.

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