Electrical resistivity of a given metallic wire depends uponA its length. B its thickness. C nature of the material. D its shape.

The electrical resistivity of a given metallic wire depends on the nature of the material (Option C).

Here's why:

1. Length (Option A): The resistivity of a material is a fundamental property and does not depend on its length. However, the resistance of a wire does depend on its length. The longer the wire, the greater the resistance.

2. Thickness (Option B): Similar to length, the resistivity of a material does not depend on its thickness. However, the resistance of a wire does depend on its thickness. The thicker the wire, the lower the resistance.

3. Nature of the Material (Option C): The resistivity of a material is a fundamental property and does depend on the nature of the material. Different materials have different resistivities. For example, copper has a lower resistivity than iron, which means that a copper wire will have less resistance than an iron wire of the same size and shape.

4. Shape (Option D): The resistivity of a material does not depend on its shape. However, the resistance of a wire can change if its shape is altered, even though the resistivity of the material remains the same. For example, if a wire is bent into a coil, its resistance will increase due to the additional length of wire that the current has to pass through.

So, the correct answer is Option C - the nature of the material.