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If L is 0.48m, what is the wavelength on a stationary wave?

  1. 0.48m

  2. 0.96m

  3. 1.92m

  4. 1.00m

The correct answer is: 0.96m

In the context of stationary (or standing) waves, it is crucial to understand how the wavelength is related to the length of the medium in which the wave is established. The formula for calculating the wavelength (λ) in a stationary wave is influenced by the number of nodes (points of no displacement) and antinodes (points of maximum displacement). If the length of the medium is given as 0.48m, and we consider a fundamental frequency (first harmonic), the relationship between the length of the string (L) and the wavelength is such that the length is equal to half of the wavelength. This is because in the first harmonic on a fixed length medium, there are two nodes (one at each end) and one antinode in the center. Therefore, the wavelength of the wave would be double the length of the stationary wave established in that medium. So, using this principle: Wavelength (λ) = 2 × Length (L) Substituting the provided length: λ = 2 × 0.48m = 0.96m This aligns precisely with the selection that indicates a wavelength of 0.96m. Understanding this relationship is key in addressing similar problems regarding stationary waves and reson