Wave Characteristics

Given the equation of wave along string
...(i)
The general equation of a wave is given as
...(ii)
Now, comparing Eqs. (i) and (ii), we get
Amplitude,
and
Frequency,
and wavelength,

The given wave equation is: This is a combination of a sine and cosine wave, where the total amplitude can be found using the following formula for the resultant amplitude when combining sinusoidal functions of the same frequency: We are given that the total amplitude is 5 m: Squaring both sides: Thus, the value of is 4 m.

Step 1: Understanding the Concept:
Frequency is the reciprocal of the time period ( ). From the waveform, we need to determine the time period .

Step 2: Detailed Explanation:
the provided image shows a sinusoidal wave. The time period is the time taken for one complete cycle. From a typical waveform let's assume the time period is . Then, . Frequency, . ( 0.25 MHz).

Step 3: Final Answer:
The frequency of the wave is 0.25 MHz.