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Q.

If the resistance of a wire is doubled, its resistivity, $ρ$ will

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a

decrease

b

increase

c

remain the same

d

None

answer is C.

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Detailed Solution

If the resistance of a wire is doubled, its resistivity,

ρ

will remain the same.
One of its fundamental properties is a material's electrical resistivity, which measures how effectively it resists electric current. A material that readily permits electric current has a low resistivity. The Greek letter

ρ

is used to represent resistivity. The ohm-metre is the metric unit for electrical resistivity. The resistivity is related to the resistance of material as,

ρ = Rl / A

Where;

R

is the resistance,

l

is the length of the conductor, and

A

is the area of the cross-section of the given conductor.

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If the resistance of a wire is doubled, its resistivity, ρ will