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This question contains statement$-1$ and statement$-2$. Of the four choices given after the statements, choose the one that best describes the two statements.

statement$-1$ : The temperature dependence of resistance is usually given as $R=R_{0}(1+\alpha \Delta t)$. The resistance of a wire changes from $100\; \Omega$ to $150\; \Omega$ when its temperature is increased from $27^{\circ} C$ to $227^{\circ} C$. This implies that $\alpha=2.5$ $\times 10^{-3} /{ }^{\circ} C$

statement$-2\;: R=R_{0}(1+\alpha \Delta t)$ is valid only when the change in the temperature $\Delta T$ is small and $\Delta R=\left(R-R_{0}\right) < < R_{0}$

  • AStatement $-1$ is true, statement $-2$ is false
  • BStatement $-1$ is true, statement $-2$ is true; statement $-2$ is the correct explanation of Statement $-1$
  • CStatement $-1$ is true, statement $-2$ is true; statement $-2$ is not the correct explanation of Statement $-1$
  • DStatement $-1$ is false, statement $-2$ is true
AIEEE 2009, Diffcult
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