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.
ScanSolve AI Answer
Another one Josey — let's solve it. a) Complete the table including values of (1)/(l) and (1)/(I). Step 1: Calculate (1)/(l) for each value of l. Step 2: Calculate (1)/(I) for each value of I. Round values to two decimal places for the table. | l(m) | I(A) | (1)/(l) (m^-1) | (1)/(I) (A^-1) | | :------------ | :------------ | :-------------------- | :-------------------- | | 0.700 | 0.40 | 1.43 | 2.50 | | 0.600 | 0.44 | 1.67 | 2.27 | | 0.500 | 0.50 | 2.00 | 2.00 | | 0.400 | 0.58 | 2.50 | 1.72 | | 0.300 | 0.70 | 3.33 | 1.43 | | 0.200 | 0.86 | 5.00 | 1.16 | b) Plot a graph of (1)/(I) against (1)/(l). To plot the graph: • Draw a set of axes. Label the y-axis as (1)/(I) (A^-1) and the x-axis as (1)/(l) (m^-1). • Choose appropriate scales for both axes to accommodate the range of values from the completed table. • Plot the points from the table: (1.43, 2.50), (1.67, 2.27), (2.00, 2.00), (2.50, 1.72), (3.33, 1.43), and (5.00, 1.16). • Draw the best-fit straight line through the plotted points. c) Find the slope, S of the graph. Step 1: Choose two points from the best-fit line. For calculation purposes, we will use the first and last data points from the table for maximum accuracy. Point 1: ((1)/(l)_1, (1)/(I)_1) = ((1)/(0.700), (1)/(0.40)) = (1.42857, 2.50) Point 2: ((1)/(l)_2, (1)/(I)_2) = ((1)/(0.200), (1)/(0.86)) = (5.00, 1.16279) Step 2: Calculate the slope using the formula S = ( (1)/(I)) ((1)/(l)). S = (1)/(I)_2 - (1)/(I)_1(1)/(l)_2 -