The length of a conductor is halved, its conductivity will be

Options

A. halved
B. doubled
C. quadrupled
D. unchanged

Explanation

To solve the question regarding the effect of halving the length of a conductor on its conductivity, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Conductivity**:
- Conductivity (σ) is a measure of a material's ability to conduct electric current. It is defined as the reciprocal of resistivity (ρ), which is an intrinsic property of the material.

2. **Identify the Relationship Between Conductivity and Resistance**:
- The relationship between conductivity and resistance can be expressed as:
\[ \sigma = \frac{1}{\rho} \]
- Where σ is the conductivity and ρ is the resistivity of the material.

3. **Recognize that Conductivity is Intrinsic**:
- Conductivity is considered an intrinsic property of the material, meaning it depends solely on the type of material and not on its dimensions (length, cross-sectional area).

4. **Consider the Effect of Halving the Length**:
- When the length of the conductor is halved, it affects the resistance (R) of the conductor, but not its conductivity. The resistance of a conductor is given by:
\[ R = \frac{\rho L}{A} \]
- Here, L is the length and A is the cross-sectional area. Halving L will reduce the resistance, but the resistivity (ρ) and thus the conductivity (σ) remain unchanged.

5. **Conclusion**:
- Since conductivity is independent of the dimensions of the conductor, halving the length of the conductor does not affect its conductivity. Therefore, the conductivity remains the same.

### Final Answer:
The conductivity of the conductor will remain unchanged when its length is halved.

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