Sound waves travel at 350 m/s through a warm air and at 3500 m/s through brass. Which of the following is correct about the wavelength of a 700 Hz accoustic wave as it enters brass from warm air?

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TestHub · Accepted Answer

When a sound wave travels from one medium to another, its frequency $f$ remains constant.

The wavelength $λ$ is given by the relation $v = f λ$ , which implies $λ \propto v$ .

Given the speed of sound in warm air $v_{1} = 350$ m/s and in brass $v_{2} = 3500$ m/s.

The ratio of the wavelengths in the two media is:

$\frac{λ _{2}}{λ _{1}} = \frac{v _{2}}{v _{1}} = \frac{3500}{350} = 10$

Thus, the wavelength increases by a factor of $10$ .

Answer: It increase by a factor $10$

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