Question

a wave with a frequency of 82 hz is traveling at a speed of 107 m/s. what is the wavelength?
answer:
check
question 14
what are the units for this answer?
select one:
hz
m
m/s
check

Explanation:

Step1: Recall the wave speed formula

The formula relating wave speed (\(v\)), frequency (\(f\)), and wavelength (\(\lambda\)) is \(v = f\lambda\). We need to solve for \(\lambda\), so rearrange the formula to \(\lambda=\frac{v}{f}\).

Step2: Substitute the given values

We know \(v = 107\space m/s\) and \(f = 82\space Hz\). Substitute these into the formula: \(\lambda=\frac{107}{82}\).

Step3: Calculate the value

\(\frac{107}{82}\approx1.305\space m\) (rounded to three decimal places).

Wavelength is a measure of distance, and from the formula \(\lambda=\frac{v}{f}\), \(v\) has units of \(m/s\) and \(f\) has units of \(Hz\) (or \(1/s\)). So \(\frac{m/s}{1/s}=m\), so the unit of wavelength is meters (\(m\)).

Answer:

Approximately \(1.31\space m\) (or more precisely \(\frac{107}{82}\space m\approx1.305\space m\))

For the units question (Question 14):