Final answer:
The amplitude, period, frequency, and wavelength of a wave are fundamental characteristics that can be calculated from a wave's equation or given values. Amplitude represents maximum displacement, the period is the reciprocal of frequency, and the wavelength is inversely related to the wave number. Velocity is the product of wavelength and frequency.
Step-by-step explanation:
Calculating Wave Parameters
To find the amplitude of a wave, you would look at the maximum displacement from its rest position. If you have an equation for the wave, the amplitude is represented by the variable 'A' in the equation. In the provided information, the amplitude is given as 30 V/m.
The period of a wave is the time it takes for one complete cycle of the wave to occur. It is related to the frequency, f, of the wave through the equation T = 1/f. Given a frequency of 2.0 MHz, which is 2.0 x 106 Hz, we can calculate the period by taking the reciprocal of the frequency. T = 1/(2.0 x 106 Hz) = 5.0 x 10-7 seconds
The frequency of a wave is the number of cycles that pass a point per second. It can be derived from the period as f = 1/T. If the period is already known, you simply take its reciprocal to find the frequency.
The wavelength (λ) of a wave can be found if you know the wave number, with λ = 2π/k, where k is the wave number.
Lastly, the velocity (v) of a wave can be calculated using the formula v = λf, which is the product of wavelength and frequency.
For a real-life example, consider a plucked banjo string. As the sound decreases in volume, the amplitude of the sound waves diminishes, but the frequency and period remain essentially unchanged.