The equation describing wavelength in terms of velocity and frequency is:

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Multiple Choice

The equation describing wavelength in terms of velocity and frequency is:

Explanation:
Understanding how a wave’s speed, frequency, and wavelength relate is key. For any traveling wave, the speed is the product of frequency and wavelength: v = f λ. Here the wavelength is what you solve for, so rearranging gives λ = v / f. This form aligns with units (meters per second divided by cycles per second, yielding meters) and with physical behavior: if the speed stays the same and frequency increases, the wavelength decreases; if speed increases with frequency fixed, the wavelength increases. Expressions that multiply velocity and frequency or add them don’t produce a length and don’t match the fundamental wave relationship.

Understanding how a wave’s speed, frequency, and wavelength relate is key. For any traveling wave, the speed is the product of frequency and wavelength: v = f λ. Here the wavelength is what you solve for, so rearranging gives λ = v / f. This form aligns with units (meters per second divided by cycles per second, yielding meters) and with physical behavior: if the speed stays the same and frequency increases, the wavelength decreases; if speed increases with frequency fixed, the wavelength increases. Expressions that multiply velocity and frequency or add them don’t produce a length and don’t match the fundamental wave relationship.

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