A wave disturbance travelling in air enters a medium in which its velocity is less than that in air. Which of the following statements is true about the wave medium?
both the frequency of the wave and the wavelength are decreased
the frequency of the wave is decreased while the wavelength is increased
the frequency of the wave is unaltered while the wavelength is decreased
the frequency of the wave is decreased while the wavelength is unaltered
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When a wave travels from one medium to another, its speed changes due to the difference in properties between the two media. In this case, the wave is traveling from air to a medium where its velocity is less than that in air.
The relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) is given by the equation:
v=f×λ
When the wave enters the new medium, its speed decreases, but the frequency of the wave remains the same. This is because the frequency of a wave is determined by the source that generates the wave, and it does not change when the wave moves from one medium to another.
Since the frequency remains constant and the speed of the wave decreases in the new medium, the wavelength of the wave must also decrease in order to satisfy the wave equation. This can be seen from the equation above: if v decreases and f remains constant, then λ must decrease as well.
Therefore, the correct statement is that the frequency of the wave is unaltered while the wavelength is decreased (Option C).
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