Question

As a wave travels from one spring to another spring with a different mass, its wavelength decreases by 25%. Which statement describes the change in the speed of the wave?
a. The speed decreases by 25% because speed and wavelength are inversely proportional.

b. The speed increases by 25% because speed and wavelength are inversely proportional.

c. The speed increases by 25% because speed and wavelength are directly proportional.

d. The speed decreases by 25% because speed and wavelength are directly proportional.

Answer 1

The statement describes the change in the speed of the wave is d. The speed decreases by 25% because speed and wavelength are directly proportional.

Since the speed of the wave v = fλ where f = frequency of wave and λ = wavelength

Since f is constant for the wave, v ∝ λ.

So, if the wavelength decreases by 25%, the speed also decreases by 25% since the speed is directly proportional to the wavelength.

So, The statement describes the change in the speed of the wave is d. The speed decreases by 25% because speed and wavelength are directly proportional.

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