Question
A wave has a frequency of 336 Hz has a wavelength of .33 m. What is the velocity of the wave?
Group of answer choices
156 m/s
111 m/s
330 m/s
343 m/s
Group of answer choices
156 m/s
111 m/s
330 m/s
343 m/s
Answers
GPT-4o mini
The velocity of a wave can be calculated using the formula:
\[
v = f \times \lambda
\]
where:
- \( v \) is the velocity of the wave,
- \( f \) is the frequency of the wave,
- \( \lambda \) is the wavelength.
Given:
- Frequency (\( f \)) = 336 Hz
- Wavelength (\( \lambda \)) = 0.33 m
Now, substitute the values into the formula:
\[
v = 336 \, \text{Hz} \times 0.33 \, \text{m}
\]
Calculating this gives:
\[
v = 110.88 \, \text{m/s}
\]
Rounding to two decimal places, the velocity of the wave is approximately 111 m/s.
So the correct answer is:
**111 m/s**
\[
v = f \times \lambda
\]
where:
- \( v \) is the velocity of the wave,
- \( f \) is the frequency of the wave,
- \( \lambda \) is the wavelength.
Given:
- Frequency (\( f \)) = 336 Hz
- Wavelength (\( \lambda \)) = 0.33 m
Now, substitute the values into the formula:
\[
v = 336 \, \text{Hz} \times 0.33 \, \text{m}
\]
Calculating this gives:
\[
v = 110.88 \, \text{m/s}
\]
Rounding to two decimal places, the velocity of the wave is approximately 111 m/s.
So the correct answer is:
**111 m/s**