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Heating and Chemical Effect of Current — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsHeating and Chemical Effect of Current1 Mark
MCQ
According to Joule's law, if the potential difference across a conductor having a material of specific resistance remains constant, then the heat produced in the conductor is directly proportional to
  • A
    $\rho$
  • B
    $\rho^2$
  • C
    $\frac{1}{\sqrt{\rho}}$
  • ✓
    $\frac{1}{\rho}$
✓

Answer

Correct option: D.
$\frac{1}{\rho}$
(d) $P=\frac{V^2}{R}$ but $R=\frac{\rho l}{A} \Rightarrow P=\frac{V^2}{\rho l / A}=\frac{A V^2}{\rho l}$. Since $\frac{A V^2}{l}$ is constant as per given conditions so $P \propto \frac{1}{\rho}$.

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