The formula vw=f⋅λ

𝑣
𝑤
=
𝑓
⋅
𝜆
describes the relationship between the speed of a wave (vw
𝑣
𝑤
), and its frequency (f
𝑓
) and wavelength (Îť
𝜆
).

For example, if a wave has a frequency of 120 Hz and a wavelength of 5m, it would have a speed of 600 m/s.

In one or two sentences, describe what would happen to the frequency of this wave if the wavelength is increased to 10m but the speed stays the same at 600 m/s.

(2 points)
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write in one paragraph

1 answer

If the wavelength of the wave is increased to 10 meters while maintaining a constant speed of 600 m/s, the frequency would decrease. This is because the relationship defined by the formula \( v_w = f \cdot \lambda \) indicates that if the speed remains unchanged and the wavelength increases, the frequency must decrease to satisfy the equation.