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If the tension remains constant and the frequency increases, what happens to the wavelength? (2 points).

Is there any pattern in the last two columns of the table (speed and Frequency X wavelength)? (2 points).

What is the relationship between frequency, wavelength and speed of a wave? (3 points).

1 answer

  1. If the tension remains constant and the frequency increases, what happens to the wavelength?
    When tension in a medium remains constant and frequency increases, the wavelength decreases. This is because the speed of the wave (which depends on tension and other factors) remains constant; as frequency increases, the wavelength must decrease to maintain the constant relationship described by the wave equation.

  2. Is there any pattern in the last two columns of the table (speed and Frequency x wavelength)?
    Yes, there is a clear pattern. The relationship between speed (v), frequency (f), and wavelength (λ) of a wave can be represented by the equation \( v = f \times \lambda \). This means that the product of frequency and wavelength (Frequency x Wavelength) will always equal the wave speed. If the speed is constant, as the frequency increases, the product (Frequency x Wavelength) must also remain constant, indicating that a change in one variable will result in a change in the other to keep the equation balanced.

  3. What is the relationship between frequency, wavelength, and speed of a wave?
    The relationship between frequency (f), wavelength (λ), and speed (v) of a wave is described by the equation:
    \[ v = f \times \lambda \]

    • Frequency (f) is the number of cycles or oscillations that occur per unit time, usually measured in Hertz (Hz).
    • Wavelength (λ) is the distance between successive crests (or troughs) of a wave and is typically measured in meters.
    • Wave Speed (v) is the speed at which the wave travels through the medium and is measured in meters per second (m/s).
      This equation indicates that if the speed of the wave is constant, an increase in frequency will result in a decrease in wavelength, and vice versa. Conversely, if the wavelength increases while frequency remains constant, the speed of the wave will also increase. This illustrates the inverse relationship between frequency and wavelength when the speed is held constant.