This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here are the steps for plotting the graph and determining the required values:
viii. Plot a graph of V on the vertical axis and I on the horizontal axis, starting both axes from the origin (0,0).
Step 1: Draw two perpendicular axes on graph paper. Label the vertical axis "V (Volts)" and the horizontal axis "I (Amperes)". Step 2: Choose a suitable scale for each axis such that the plotted points occupy at least half of the graph paper, ensuring both axes start from the origin (0,0). Step 3: Plot the experimental data points accurately on the graph. Step 4: Draw the best-fit straight line through the plotted points.
ix. Determine the slope S of the graph.
Step 1: Select two points and that lie on the best-fit line and are as far apart as possible. Step 2: Calculate the slope S using the formula: Step 3: Substitute the coordinates of the chosen points and calculate the value of S. For example, if and : The slope S is
x. Determine the intercept C on the vertical axis.
Step 1: Extend the best-fit line until it intersects the vertical (V) axis. Step 2: Read the value of V at the point where the line crosses the vertical axis. This value is the intercept C. For example, if the line crosses the V-axis at : The intercept C is
xi. Evaluate .
Step 1: Obtain the value of E (this value is not provided in the question and is assumed to be from a previous part of the experiment). Step 2: Substitute the value of E and the determined value of C into the formula for K. For example, if and : The value of K is
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This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.