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A rectangular parallelopiped is measured as 1 cm×1 cm×100 cm. If its specific resistance is 3×10⁻⁷ Ω m, then the resistance between its two opposite rectangular faces will be ______ ×10⁻⁷ Ω.

Asked in JEE Main 10th April 2nd Shift 2023 · Resistance of a wire and stretching

Answer: 3

Step-by-step solution

The rectangular faces measure 1 cm×100 cm, so A=10⁻²×1=10⁻² m² and the separation is l=1 cm=10⁻² m.

R=(ρ l)/A=(3×10⁻⁷×10⁻²)/(10⁻²).

R=3×10⁻⁷ Ω.

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