Why the answer is B, and why the others tempt you.
**The reasoning**
Resistivity (ρ) measures how strongly a material opposes current flow, *independent of its shape or size*. It's a property of the material itself.
Start with Ohm's Law: R = V/I, so resistance R is measured in ohms (Ω).
But resistance depends on the object's dimensions:
**R = ρL/A**
Where:
- R = resistance (Ω)
- L = length (m)
- A = cross-sectional area (m²)
Rearranging: **ρ = RA/L**
Substituting units: ρ = (Ω × m²)/m = **Ω·m**
That's why resistivity has units of ohm-meters!
**Why the wrong options tempt you**
**A) Ω** — This is just resistance, not resistivity. The trap: confusing the two related concepts.
**C) V/m** — This looks scientific (it's actually electric field strength), so students might guess it relates to "voltage in materials."
**D) A/m** — This is magnetic field intensity. The "per meter" makes it seem dimensional, but it's the wrong quantity entirely.
**Quick takeaway**
Resistivity isn't just resistance — it's resistance *adjusted for size*: multiply Ω by area, divide by length, and you get **Ω·m**.
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