STANDARDPhysics-Current Electricity
STANDARD Physics Conductivity MCQ Question
Type: MCQ-conceptual-Medium-Class 12
Two metal wires of identical dimensions are connected in series. If σ₁ and σ₂ are the conductivities of the metals respectively, the effective conductivity of the combination is
A
1 + σ₂
B
σ₁ + σ₂ / 2
C
√(σ₁σ₂)
D
2σ₁σ₂ / (σ₁ + σ₂)
Correct Answer
Option D
Detailed Explanation
Resistance of a wire in terms of conductivity (σ) is given by R = l / σA. As the wires are connected in series, the effective conductivity is given by 2σ₁σ₂ / (σ₁ + σ₂).
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