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Q.

State whether the following statements are true or false:

The resistance of a conductor depends upon the resistivity, length and cross-sectional area of the conductor.

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a

True

b

False

answer is A.

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Detailed Solution

The given statement is true.
Concept: Resistance (R) ∝ Resistivity(ρ)
Resistance (R) ∝ Length(l) of resistance wire
Resistance (R) ∝

\frac{1}{A}

, where A is area of cross-section of wire
⇒R=

\frac{ρ l}{A}

A feature known as resistivity measures how strongly a particular substance resists the passage of electricity. It depends upon the dimension of the material. It is also known as specific electrical resistance. It is inverse to conductivity. Its unit is

Ωm

⇒Resistivity(ρ) =

\frac{1}{Conductivity (σ)}

Hence, the given statement is true .

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