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SI unit of resistivity is
  • a)
    ohm/metre
  • b)
    ohm-metre
  • c)
    ohm/(metre)3
  • d)
    ohm/(metre)2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
SI unit of resistivity isa)ohm/metreb)ohm-metrec)ohm/(metre)3d)ohm/(me...
As resistivity of the material of a resistor of length l, cross-section area A and resistance R is given by :ρ = R.A/I, hence SI unit of resistivity is ohm -metre (Ω m).
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SI unit of resistivity isa)ohm/metreb)ohm-metrec)ohm/(metre)3d)ohm/(me...
The SI unit of electrical resistivity is the ohm⋅metre (Ω⋅m). It is commonly represented by the Greek letter ρ, rho
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SI unit of resistivity isa)ohm/metreb)ohm-metrec)ohm/(metre)3d)ohm/(me...
**SI unit of resistivity is ohm-metre.**

**Explanation:**

Resistivity is a property of a material that quantifies how strongly it resists the flow of electric current. It is denoted by the symbol ρ (rho).

The formula for resistivity is:

ρ = R × A / L

Where:
- ρ is the resistivity of the material,
- R is the resistance of the material,
- A is the cross-sectional area of the material,
- L is the length of the material.

The SI unit of resistance is the ohm (Ω), which is equal to V/A (volt per ampere).

The SI unit of cross-sectional area is square metre (m^2).

The SI unit of length is metre (m).

By substituting the units into the resistivity formula, we have:

[ρ] = [R] × [A] / [L]
= Ω × m^2 / m
= Ω × m
= ohm-metre

Therefore, the SI unit of resistivity is ohm-metre (Ω·m).
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SI unit of resistivity isa)ohm/metreb)ohm-metrec)ohm/(metre)3d)ohm/(metre)2Correct answer is option 'B'. Can you explain this answer?
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