The slope of the graph showing the variation of potential difference V on X-axis and current Y-axis gives conductor

Options

A. resistance
B. resistivity
C. reciprocal of resistance
D. conductivity

Answer

To solve the question regarding the slope of the graph showing the variation of potential difference (V) on the X-axis and current (I) on the Y-axis, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Graph**:
- We are given a graph where the potential difference (V) is plotted on the X-axis and the current (I) is plotted on the Y-axis.

2. **Using Ohm's Law**:
- According to Ohm's Law, the relationship between voltage (V), current (I), and resistance (R) is given by the equation:
\[ V = I \cdot R \]
- Rearranging this gives us:
\[ I = \frac{V}{R} \]

3. **Identifying the Slope**:
- From the equation \(I = \frac{V}{R}\), we can see that if we plot I (Y-axis) against V (X-axis), the slope of the graph will be:
\[ \text{slope} = \frac{1}{R} \]
- This means that the slope of the graph represents the reciprocal of the resistance.

4. **Conclusion**:
- Therefore, the slope of the graph showing the variation of potential difference (V) on the X-axis and current (I) on the Y-axis gives us the value of \(\frac{1}{R}\), where R is the resistance of the conductor.

### Final Answer:
The slope of the graph gives the reciprocal of the resistance of the conductor, \( \frac{1}{R} \).

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