Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 9 of 10 what is the frequency of a wave that has a wavelength …

Question

question 9 of 10
what is the frequency of a wave that has a wavelength of 0.39 m and a speed of 86 m/s?
a. 220 hz
b. 0.004 hz
c. 34 hz
d. 0.03 hz

Explanation:

Step1: Recall the wave - speed formula

The wave - speed formula is $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $f$.

Step2: Rearrange the formula for frequency

Rearranging $v = f\lambda$ for $f$ gives $f=\frac{v}{\lambda}$.

Step3: Substitute the given values

Given $v = 86$ m/s and $\lambda=0.39$ m. Then $f=\frac{86}{0.39}\approx220.51$ Hz. Rounding to the nearest ten gives 220 Hz.

Answer:

A. 220 Hz