Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Discover detailed solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Table 1 shows the results of the investigation.

\begin{tabular}{|c|c|c|c|c|c|}
\hline
Solar Panel & Area of Solar Panel ([tex]$cm^2$[/tex]) & \multicolumn{3}{|c|}{Output Potential Difference (Volts)} & Mean \\
\cline{3-5} & & Test 1 & Test 2 & Test 3 \\
\hline
A & 10 & 2.5 & 2.4 & 2.6 & 2.5 \\
\hline
B & 20 & 5.0 & 5.0 & 4.9 & 5.0 \\
\hline
C & 30 & 7.5 & 9.99 & 12.4 & 12.9 & 12.5 & 0.2 & 7.5 \\
\hline
D & 40 & 50 & 12.5 & 12.5 \\
\hline
\end{tabular}

Which solar panel shows an anomalous result?
Tick (✔) one box.

A ☐ B ☐ C ☐ D ☐

The student did not have a solar panel with an area of 40 [tex]$cm^2$[/tex]. Determine the most likely value for the mean output potential difference of a 40 [tex]$cm^2$[/tex] solar cell.

Mean output potential difference = ______

Sagot :

GinnyAnswer
Let's analyze and solve the problem step-by-step based on the provided data and results.

### 1. Identifying Anomalous Results

We have the following data for the solar panels:

- Panel A:
- Area: [tex]\(10 \, \text{cm}^2\)[/tex]
- Potential differences: 2.5, 2.4, 2.6
- Mean: 2.5

- Panel B:
- Area: [tex]\(20 \, \text{cm}^2\)[/tex]
- Potential differences: 5.0, 5.0, 4.9
- Mean: 5.0

- Panel C:
- Area: [tex]\(30 \, \text{cm}^2\)[/tex]
- Potential differences: 7.5, 9.99, 12.4, 12.9, 12.5, 0.2, 0.5, 10
- Mean: 8.25 (approximately)

- Panel D:
- Area: [tex]\(40 \, \text{cm}^2\)[/tex]
- Potential differences: 12.5, 12.5
- Mean: 12.5

Reviewing the data:

- Panel A results are consistent.
- Panel B results are consistent.
- Panel D results, although incomplete, are consistent.

Panel C, however, shows a wide range of potential differences from 0.2 to 12.9 volts, which indicates significant variance and inconsistency in the values. This variability suggests that it has anomalous results.

### Conclusion:

- The readings for Panel C show anomalous results.
- Therefore, the correct tick box for anomalous results is Panel C.

### 2. Determining the Most Likely Mean Output Potential Difference for Panel D

To find the most likely mean output potential difference for a solar panel with an area of [tex]\(40 \, \text{cm}^2\)[/tex], we can observe the given results. We know:

- The mean output potential difference for Panel B (20 [tex]\( \text{cm}^2 \)[/tex]) is 5.0 volts.
- Doubling the area (to 40 [tex]\( \text{cm}^2 \)[/tex]) typically doubles the potential difference (if we consider the pattern observed in the data).

Following this reasoning, we would expect the mean output potential difference for Panel D (40 [tex]\( \text{cm}^2 \)[/tex]) to be double that of Panel B.

Thus, the calculated mean from the data is:

[tex]\[ \text{Mean Output Potential Difference for Panel D} = 2 \times \text{Mean Output Potential Difference for Panel B} = 2 \times 5.0 = 10.0 \text{ volts} \][/tex]

### Conclusion:

- The mean output potential difference for a 40 [tex]\( \text{cm}^2 \)[/tex] solar panel is approximately [tex]\(10.0 \)[/tex] volts.

By analyzing the given data appropriately, we have concluded the anomalous results and determined the mean potential difference for the larger solar panel.
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.