If one doubles the amplitude of a wave, what necessarily MUST happen to the wave

Question

If one doubles the amplitude of a wave, what necessarily MUST happen to the wavelength? Select one: 0 a. The wavelength must get larger by a factor of 2. O b. The wavelength must get smaller by a factor of 2. O c. The wavelength would get larger, but one would need to know the speed of the wave in order to know by how much. O d. The wavelength would get smaller, but one would need to know the speed of the wave in order to know by how much O e. The wavelength is not related to the amplitude and so need not change.

Explanation / Answer

The sound waves in gas(air) propagate by forming successive condensations and rarefactions.

The distance between two consecutive condensations or two consecutive rarefactions is called wave length.

Now, the maximum value of pressure at condensation is called the amplitude .

The intensity of the wave is proportional to the square of amplitude .

As wave goes further and further away from the source, the intensity decreases but wave length(=v/f) does not change.

So, for a wave amplitude and wave length are independent of each other.

option e is correct.

Hope it will help you.

please thums up!

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