Question

wavelength of a 300 hertz sound in air at STP

Answer 1

To calculate the wavelength of a sound wave, you can use the formula:

\[
\text{Wavelength} (\lambda) = \frac{v}{f}
\]

where:
- \( v \) is the speed of sound in the medium (in this case, air at STP), and
- \( f \) is the frequency of the sound wave.

At Standard Temperature and Pressure (STP), the speed of sound in air is approximately \( 343 \, \text{m/s} \).

Given that the frequency \( f \) is \( 300 \, \text{Hz} \), you can substitute these values into the equation:

\[
\lambda = \frac{343 \, \text{m/s}}{300 \, \text{Hz}} \approx 1.1433 \, \text{m}
\]

Thus, the wavelength of a 300 Hz sound in air at STP is approximately \( 1.14 \, \text{meters} \).