A rectangular parallelepiped has dimensions 1 cm × 1 cm × 100 cm. Its resistivity is 3 × 10⁻⁷ Ω m. The resistance between the two opposite rectangular faces of area 1 cm × 100 cm is ______ × 10⁻⁷ Ω.
Physics · Circular Motion
JEE Mains 10 April 2023 Shift 2 Evening Shift

Question

A rectangular parallelepiped has dimensions 1 cm × 1 cm × 100 cm. Its resistivity is 3 × 10⁻⁷ Ω m. The resistance between the two opposite rectangular faces of area 1 cm × 100 cm is ______ × 10⁻⁷ Ω.

Physics · Circular Motion

JEE Mains 10 April 2023 Shift 2 Evening Shift

G1 Physics · Accepted Answer

For current between the two opposite 1 cm × 100 cm faces: length of current path: l = 1 cm = 10⁻² m cross-sectional area: A = 1 cm × 100 cm = 100 cm² = 10⁻² m² Resistance: R = ρl/A = (3×10⁻⁷)(10⁻²)/(10⁻²) = 3×10⁻⁷ Ω Final value: 3