Explanation

To find the wavelength of a wave with a period of 2 seconds and a speed of 2 cm/s, we can use the wave equation:

Wave speed = Wavelength x Frequency

Given information:

- Period = 2 seconds

- Speed = 2 cm/s

To find the frequency, we can use the equation:

Frequency = 1 / Period

Calculating the frequency:

Frequency = 1 / 2 seconds = 0.5 Hz

Now, we can rearrange the wave equation to solve for the wavelength:

Wavelength = Speed / Frequency

Substituting the given values:

Wavelength = 2 cm/s / 0.5 Hz

Simplifying the expression:

Wavelength = 4 cm