Question

Human fingers are very sensitive, detecting vibrations with amplitudes as low as 2.0x10^-5m. Consider a sound wave with a wavelength exactly 1000 times greater than the lowest amplitude detectable by fingers. What is this waves frequency​

Answer 1

Answer:

18,850 Hz

Explanation:

We need to figure out the wavelength of the sound wave.

Thus,

Wavelength = 1000 * Lowest Amplitude Wave

Wavelength = 1000 * 2.0 * 10^(-5)

Wavelength = 0.02

Or,

$\lambda=0.02$

Now, we need the frequency of this wave. It goes by the formula:

$f=\frac{v}{\lambda}$

Where

f is the frequency in Hz

v is the speed of sound in air (to be 377 m/s)

$\lambda$ is the wavelength (we found to be 0.02)

Substituting, we find the frequency:

$f=\frac{v}{\lambda}\\f=\frac{377}{0.02}\\f=18850$

The wave has frequency of 18,850 Hz