Question

If the wavelength is increased to 10m while the speed remains at 600 m/s, the frequency of the wave would decrease to 60 Hz. This is because frequency and wavelength are inversely proportional to each other when speed is held constant.

Answer 1

The formula for the relationship between frequency, wavelength, and speed is:

\(v = f \times \lambda\)

Where:
\(v\) = speed of the wave
\(f\) = frequency of the wave
\(\lambda\) = wavelength of the wave

If the speed remains constant at 600 m/s and the wavelength is increased to 10m, we can rearrange the formula to solve for the new frequency:

\(f = v / \lambda\)

Plugging in the values, we get:

\(f = 600 / 10\)
\(f = 60\)

Therefore, the frequency of the wave would decrease to 60 Hz if the wavelength is increased to 10m while the speed remains at 600 m/s.