Frequency: 2 Hz
Period: 0.5 seconds
Wavelength: 0.18 m
Speed: 0.36 m/s
To determine the frequency, period, wavelength, and speed of the waves produced by dipping your finger into the water of a pond, we can use the following formulas:
1. Frequency (f) is the number of waves produced per second. In this case, you dip your finger into the water twice a second, so the frequency is 2 Hz.
2. Period (T) is the time it takes for one complete wave to pass a point. It is the inverse of the frequency, so T = 1/f. In this case, T = 1/2 = 0.5 seconds.
3. Wavelength (λ) is the distance between two consecutive crests (or troughs) of a wave. Here, the crests are separated by 0.18 m, so the wavelength is 0.18 m.
4. Speed (v) of a wave is given by the formula v = λ * f. In this case, v = 0.18 m * 2 Hz = 0.36 m/s.
So, to summarize:
- Frequency: 2 Hz
- Period: 0.5 seconds
- Wavelength: 0.18 m
- Speed: 0.36 m/s
These values indicate that for each second, you dip your finger into the water twice, creating waves with a period of 0.5 seconds. The distance between consecutive crests (or troughs) is 0.18 m, and the speed of these waves is 0.36 m/s.