Question

The wavelength of a wave on a string is 1.2 meters. If the speed of the wave is 60 meters/second, what is its frequency?
A.
0.20 hertz
B.
2.0 hertz
C.
50 hertz
D.
10 hertz
E.
15 hertz

Answer 1

To find the frequency of a wave, we can use the wave equation:

\[
v = f \lambda
\]

Where:
- \(v\) is the speed of the wave (60 m/s),
- \(f\) is the frequency (which we want to find),
- \(\lambda\) is the wavelength (1.2 m).

We can rearrange the equation to solve for frequency (\(f\)):

\[
f = \frac{v}{\lambda}
\]

Now, plugging in the values:

\[
f = \frac{60 \, \text{m/s}}{1.2 \, \text{m}} = 50 \, \text{hertz}
\]

Thus, the frequency of the wave is:

**C. 50 hertz**.