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

1 answer

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.