Two sirens A and B are sounding so that the frequency from A is twice the frequency from B. Compared with the speed of sound from A, which of the following statements is true?

You have not provided the "following statements"

the speed of sound from B is one-fourth as fast

Half as fast

To compare the speeds of sound from two sources, we need to understand the relationship between frequency and speed of sound. The speed of sound in a medium is determined by the properties of that medium and does not change with the frequency of the sound wave.

However, the frequency of a sound wave refers to the number of oscillations or cycles of the wave that occur in one second. It is directly related to the pitch or perceived highness or lowness of the sound.

In this case, the frequency from siren A is stated to be twice the frequency from siren B. Let's examine the statements to determine which one is true:

Statement 1: The speed of sound from A is twice the speed of sound from B.
This statement is NOT true. The speed of sound is determined by the medium and does not change with the frequency. Therefore, the speed of sound from A will be the same as the speed of sound from B.

Statement 2: The wavelength of the sound from A is half the wavelength of the sound from B.
This statement is TRUE. The wavelength of a sound wave is inversely proportional to its frequency. Since the frequency from A is twice that of B, the wavelength of A will be half that of B.

So, the correct statement is:
Statement 2: The wavelength of the sound from A is half the wavelength of the sound from B.