(i) Determine the balance length X and record it in Table 1. (ii) Repeat part e (i) for other values of length l of wire N shown in Table 1 and complete Table 1. Table 1 l (cm) 25 30 35 40 45 50 X (cm) 1/l (cm^-1) 1/x (cm^-1)See answer
i Determine the balance length X and record it in Table 1 ii Repeat part e i for other values of length l of wire N shown in Table 1 and complete Table 1 Table 1 l cm 25 30 35 40 45 50 X cm 1 l cm 1 1…
Question
Basic Answer
Problem Analysis：
- The core requirement is to determine the relationship between the length (l) of a wire and a balance length (X) using experimental measurements. This suggests an investigation into the properties of the wire, possibly its resistance or some other length-dependent characteristic.
- The experimental purpose is to establish a quantitative relationship between l and X, likely to be represented graphically or through a derived equation. The reciprocal values (1/l and 1/X) suggest a possible inverse relationship is being investigated.
Experimental Steps：
Step 1: Setup the apparatus. This will involve a setup where the length l of wire N can be precisely adjusted and measured, and a method for determining the balance length X. The specific apparatus will depend on the context of the experiment (e.g., a Wheatstone bridge for measuring resistance, a balance for measuring forces, etc.). A detailed diagram of the setup should be included in a lab notebook.
Step 2: Measure the length l. Using a ruler or other appropriate measuring device, accurately measure the length l of wire N as specified in Table 1 (25 cm, 30 cm, 35 cm, 40 cm, 45 cm, 50 cm). Record the value in Table 1.
Step 3: Determine the balance length X. Adjust the length of wire N to the measured value of l. Manipulate the apparatus (the specific method depends on the experimental setup) to achieve a balance condition. Carefully measure the balance length X and record it in Table 1. Repeat this step for each value of l.
Step 4: Calculate reciprocals. Calculate the reciprocals of l (1/l) and X (1/X) for each data point and record them in Table 1.
Step 5: Plot the data. Plot 1/l on the x-axis and 1/X on the y-axis. If a linear relationship is observed, this suggests an inverse relationship between l and X. The slope and intercept of the line can provide further insights into the relationship.
Data Recording：
Table 1:
l (cm) X (cm) 1/l (cm⁻¹) 1/X (cm⁻¹) 25 0.04 30 0.0333 35 0.0286 40 0.025 45 0.0222 50 0.02 Observation records: Include notes on the experimental setup, any observed anomalies, and any difficulties encountered during the experiment.
Measurement data: The completed Table 1 constitutes the measurement data.
Phenomenon description: Describe the observed relationship between l and X. For example, “As the length l of wire N increased, the balance length X decreased, suggesting an inverse relationship.”
Result Analysis：
Specific observation results: The completed Table 1 shows the measured values of l and X, and their reciprocals. The graph of 1/l versus 1/X will show the relationship between the two variables.
Data interpretation: If the graph of 1/l versus 1/X is linear, the relationship can be expressed as 1/X = m(1/l) + c, where m is the slope and c is the y-intercept. The slope and intercept can be used to interpret the physical meaning of the relationship between l and X in the context of the experiment.
Experimental conclusion: Based on the graph and the equation derived from the data, a conclusion about the relationship between the length of wire N (l) and the balance length (X) can be drawn. This conclusion should be supported by the experimental data and any relevant theoretical background.
Final Answer
The final answer will be a statement summarizing the relationship between l and X based on the experimental results and analysis. For example: “The experiment demonstrated an inverse relationship between the length of wire N (l) and the balance length (X), which can be expressed by the equation 1/X = m(1/l) + c, where m and c are constants determined from the