Three copper wires of lengths and cross sectional areas are - A- 2 - A-2 and -2- 2A- Resistance is minimum in-

The correct option is C wire of #160;cross sectional area 2A R∝ℓ/A ;So, the resistance of the wire will be minimum when the area of cross section i ...

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Standard X

Physics

Resistance

Three copper ...

Question

Three copper wires of lengths and cross sectional areas are $(ℓ, A), (2 ℓ, A / 2)$ and $(ℓ / 2, 2 A)$ . Resistance is minimum in:

wire of cross-sectional area

A / 2

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wire of cross-sectional area A

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wire of cross-sectional area

2 A

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same in all the three cases

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Solution

The correct option is C wire of cross-sectional area $2 A$
$R \propto \frac{ℓ}{A}$ ;
So, the resistance of the wire will be minimum when the area of cross-section is maximum and length is minimum.
Hence, option C is correct.

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Three copper wires of lengths and cross sectional areas are (ℓ,A),(2ℓ,A/2) and (ℓ/2,2A). Resistance is minimum in:

The correct option is C wire of cross-sectional area 2AR∝ℓA;So, the resistance of the wire will be minimum when the area of cross-section is maximum and length is minimum.Hence, option C is correct.

Three copper wires of lengths and cross sectional areas are $(ℓ, A), (2 ℓ, A / 2)$ and $(ℓ / 2, 2 A)$ . Resistance is minimum in:

The correct option is C wire of cross-sectional area $2 A$
$R \propto \frac{ℓ}{A}$ ;
So, the resistance of the wire will be minimum when the area of cross-section is maximum and length is minimum.
Hence, option C is correct.