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

Respuesta :

Answer:

[tex]5.52 \cdot 10^2[/tex] Hz

Explanation:

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

[tex]v=f\lambda[/tex]

where

v is the velocity

f is the frequency

[tex]\lambda[/tex] is the wavelength

For the sound wave in this problem, we have:

v = 331 m/s

[tex]\lambda=0.6 m[/tex]

Solving the equation for f, we find the frequency:

[tex]f=\frac{v}{\lambda}=\frac{331}{0.6}=5.52\cdot 10^2 Hz[/tex]