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Use the table to Plot graph of l/l against R

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Step-by-step solution

5 steps

To plot the graph of 1I\frac{1}{I} against RR, follow these steps:

  1. Identify Axes and Data Points

    The independent variable is RR (Resistance), which will be plotted on the x-axis. The dependent variable is 1I\frac{1}{I} (Inverse of Current), which will be plotted on the y-axis.
    The data points are:

    • (R,1I)(R, \frac{1}{I})
    • (2 Ω,5.00 A−1)(2 \, \Omega, 5.00 \, \text{A}^{-1})
    • (4 Ω,5.60 A−1)(4 \, \Omega, 5.60 \, \text{A}^{-1})
    • (6 Ω,10.00 A−1)(6 \, \Omega, 10.00 \, \text{A}^{-1})
    • (7 Ω,12.50 A−1)(7 \, \Omega, 12.50 \, \text{A}^{-1})
    • (9 Ω,16.70 A−1)(9 \, \Omega, 16.70 \, \text{A}^{-1})
  2. Choose Appropriate Scales for Axes

    For the x-axis (RR): The values range from 2 Ω2 \, \Omega to 9 Ω9 \, \Omega. A suitable scale would be from 0 Ω0 \, \Omega to 10 Ω10 \, \Omega, with increments of 1 Ω1 \, \Omega or 2 Ω2 \, \Omega.
    For the y-axis (1I\frac{1}{I}): The values range from 5.00 A−15.00 \, \text{A}^{-1} to 16.70 A−116.70 \, \text{A}^{-1}. A suitable scale would be from 0 A−10 \, \text{A}^{-1} to 20 A−120 \, \text{A}^{-1}, with increments of 2 A−12 \, \text{A}^{-1} or 5 A−15 \, \text{A}^{-1}.

  3. Label Axes

    Label the x-axis as "R (Ω)R \, (\Omega)" and the y-axis as "1I (A−1)\frac{1}{I} \, (\text{A}^{-1})". Include the units.

  4. Plot the Data Points

    Carefully mark each of the five data points on your graph paper according to their (R,1I)(R, \frac{1}{I}) coordinates.

  5. Draw the Line of Best Fit

    Since the relationship between 1I\frac{1}{I} and RR for a cell with internal resistance is linear (1I=1ER+rE\frac{1}{I} = \frac{1}{E}R + \frac{r}{E} where EE is EMF and rr is internal resistance), draw a straight line that best fits through the plotted points. This line should pass as close as possible to all points, with roughly an equal number of points above and below the line. Extend the line to intersect both axes if possible.

    The resulting graph will be a straight line with a positive slope.

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