select the correct answer.\nthe velocity of sound on a particular day outside is 331 meters/second. what is…

select the correct answer.\nthe 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?\na. 5.52×10² hertz\nb. 2.56×10² hertz\nc. 459×10² hertz\nd. 675×10² hertz\ne. 990×10² hertz

select the correct answer.\nthe 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?\na. 5.52×10² hertz\nb. 2.56×10² hertz\nc. 459×10² hertz\nd. 675×10² hertz\ne. 990×10² hertz

Answer

Explanation:

Step1: Recall the wave - speed formula

The wave - speed formula is $v = f\lambda$, where $v$ is the velocity of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$, so we can rewrite the formula as $f=\frac{v}{\lambda}$.

Step2: Substitute the given values

We are given that $v = 331$ m/s and $\lambda=0.6$ m. Substituting these values into the formula $f=\frac{v}{\lambda}$, we get $f=\frac{331}{0.6}$.

Step3: Calculate the frequency

$f=\frac{331}{0.6}\approx551.67$. In scientific notation, $f = 5.52\times10^{2}$ Hz (rounded to two decimal places).

Answer:

A. $5.52\times 10^{2}$ hertz