What is the velocity of a wave that has a frequency of 100Hz and a wavelength of 2.0m?
Understand the Problem
The question asks to calculate the velocity of a wave, given its frequency (100 Hz) and wavelength (2.0 m). This can be solved by using the formula: wave velocity = frequency * wavelength.
Answer
The velocity of the wave is $200 \, \text{m/s}$.
Answer for screen readers
The velocity of the wave is $200 , \text{m/s}$.
Steps to Solve
- Identify the given values
We are given: Frequency $f = 100 , \text{Hz}$ Wavelength $\lambda = 2.0 , \text{m}$
- Apply the formula for wave velocity
The formula for the velocity ($v$) of a wave is: $v = f \lambda$
- Substitute the given values into the formula
Substitute $f = 100 , \text{Hz}$ and $\lambda = 2.0 , \text{m}$ into the formula: $v = (100 , \text{Hz}) \cdot (2.0 , \text{m})$
- Calculate the wave velocity
$v = 200 , \text{m/s}$
The velocity of the wave is $200 , \text{m/s}$.
More Information
The unit for velocity is meters per second (m/s) because we multiplied frequency (Hz, which is cycles per second or 1/s) by wavelength (m).
Tips
A common mistake is forgetting the formula. Another common mistake is to use the wrong units or not include them in the final answer. A third mistake could be multiplying the frequency by the inverse of the wavelength.
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