What happens to wavelength when frequency doubles?

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Multiple Choice

What happens to wavelength when frequency doubles?

Explanation:
The main idea is that wavelength and frequency are inversely related when the wave speed is fixed. The wave speed is the product of frequency and wavelength (v = f λ). If the wave travels at the same speed and the frequency doubles, solving for wavelength gives λ = v / f, so doubling f makes λ half as long. In other words, more cycles pass every second, so fewer cycles fit in a given distance. If the wave’s speed changed due to moving into a different medium, the wavelength would adjust accordingly, but with the same speed, doubling frequency halves the wavelength.

The main idea is that wavelength and frequency are inversely related when the wave speed is fixed. The wave speed is the product of frequency and wavelength (v = f λ). If the wave travels at the same speed and the frequency doubles, solving for wavelength gives λ = v / f, so doubling f makes λ half as long. In other words, more cycles pass every second, so fewer cycles fit in a given distance. If the wave’s speed changed due to moving into a different medium, the wavelength would adjust accordingly, but with the same speed, doubling frequency halves the wavelength.

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