Question

4. What is the best estimate of the frequency of the wave shown below?

O A. 0.40 Hz

OB. 0.85 Hz

O C. 1.25 Hz

O D. 2.50 Hz

Answer 1

The best estimate of the frequency of the wave shown below is **C. 1.25 Hz**.

Eplanation:

In wave mechanics, frequency refers to the number of complete cycles of a wave that occur in one second. To estimate the frequency from the given wave, we can count the number of complete cycles within a specific time frame. By visually inspecting the provided wave, it appears to complete approximately 1.25 cycles within a one-second interval. Thus, the estimated frequency is 1.25 Hz, aligning with option C.

The frequency of a wave is calculated using the formula:
`\(f = (1)/(T)\),`where \(f\) represents frequency and
`\(T\)`is the period of the wave. The period of a wave is the time taken for one complete cycle. In this case, by observing the wave, it seems to complete approximately 0.8 seconds for one full cycle (T ≈ 0.8 s).

Applying the formula for frequency,
`\(f = (1)/(0.8)\),` the calculated frequency is approximately 1.25 Hz, which is consistent with the visual estimation and aligns with option C in the provided choices.

Therefore, considering the visual inspection of the wave and the calculation based on the wave's period, the best estimate for the frequency aligns with option C, which is 1.25 Hz.

Answer 2

The answer is "Option D"

Step-by-step explanation:

Please find the graph file in the attached file.

Using formula:

`\to v= \rho \lambda \\\\\ \to \lambda= 130 \cm \\\\ \to v= 335 (cm)/(s)\\\\ \to \rho= (v)/(\lambda) \\\\`

`=(335)/(130) \\\\ = 2.57 \approx 2.50 \ Hz`