Question

The velocity of sound on a particular day outside is 331 meters/second. What is the frequency of a tone if it has a wavelength of 0.6 meters?
5.52 × 102 hertz
2.56 × 102 hertz
459 × 102 hertz
675 × 102 hertz
990 × 102 hertz

Answer 1

Answer:

$5.52 \cdot 10^2$ Hz

Explanation:

For a wave, the relationship between velocity, wavelength and frequency is given by the wave equation:

$v=f\lambda$

where

v is the velocity

f is the frequency

$\lambda$ is the wavelength

For the sound wave in this problem, we have:

v = 331 m/s

$\lambda=0.6 m$

Solving the equation for f, we find the frequency:

$f=\frac{v}{\lambda}=\frac{331}{0.6}=5.52\cdot 10^2 Hz$