Question

A wave has a frequency of 815 Hz has a wavelength of .24 m. What is the velocity of the wave?

Group of answer choices

343 m/s

95 m/s

112 m/s

196 m/s

Answer 1

To find the velocity of a wave, you can use the formula:

\[
v = f \times \lambda
\]

where:
- \( v \) is the velocity of the wave,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.

Given:
- Frequency (\( f \)) = 815 Hz
- Wavelength (\( \lambda \)) = 0.24 m

Now, substitute the values into the formula:

\[
v = 815 \, \text{Hz} \times 0.24 \, \text{m}
\]

Calculating this gives:

\[
v = 195.6 \, \text{m/s}
\]

Rounding to two decimal places, we have:

\[
v \approx 196 \, \text{m/s}
\]

Therefore, the correct answer is **196 m/s**.