Question
A wave is traveling through a medium. The velocity can be calculated using the equation v = f x λ. What is the velocity of a wave that has a frequency of 3,500 Hz and wavelength of 15.0 m?
52,500 Hz
52,500 m/s
7,000 Hz
233 m/s
Answers
GPT-4o mini
To find the velocity of the wave using the equation \( v = f \times \lambda \), where:
- \( v \) is the velocity,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
Given:
- Frequency \( f = 3,500 \, \text{Hz} \)
- Wavelength \( \lambda = 15.0 \, \text{m} \)
Now, substitute the values into the equation:
\[
v = 3,500 \, \text{Hz} \times 15.0 \, \text{m}
\]
\[
v = 52,500 \, \text{m/s}
\]
So, the velocity of the wave is **52,500 m/s**. Therefore, the correct answer is **52,500 m/s**.
- \( v \) is the velocity,
- \( f \) is the frequency,
- \( \lambda \) is the wavelength.
Given:
- Frequency \( f = 3,500 \, \text{Hz} \)
- Wavelength \( \lambda = 15.0 \, \text{m} \)
Now, substitute the values into the equation:
\[
v = 3,500 \, \text{Hz} \times 15.0 \, \text{m}
\]
\[
v = 52,500 \, \text{m/s}
\]
So, the velocity of the wave is **52,500 m/s**. Therefore, the correct answer is **52,500 m/s**.