Practice question
Question
A conductor has a resistivity of 1.2 × 10⁻⁷Ω m and α = 4 × 10⁻³°C^{-1 at 20° C . What is its resistivity at 80° C ?
Explanation
Given:
A conductor has a resistivity of 1.2 × 10⁻⁷Ω m and α = 4 × 10⁻³°C^{-1 at 20° C . What is its resistivity at 80° C ?
These values define the system as per NCERT data.
Formula:
Use: rho_t = rho_0 [1 + α (T - T_0)].
This is standard NCERT relation.
Substitution & Calculation:
Substitute: rho_t = 1.2 × 10⁻⁷[1 + 4 × 10⁻³(80 - 20)] . Calculate: rho_t = 1.2 × 10⁻⁷[1 + 0.24] = 1.2 × 10⁻⁷ × 1.24 = 1.488 × 10⁻⁷Ω m .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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