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Statement-1 : The temperature dependence of resistance is usually given as $

Question:

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

Statement $-2: R=R_{0}(1+\alpha \Delta t)$ is valid only when the change in the temperature $\Delta \mathrm{T}$ is small and $\Delta \mathrm{R}=\left(\mathrm{R}-\mathrm{R}_{0}\right) \ll \mathrm{R}_{0}$.

  1. Statement $-1$ is true, Statement $-2$ is true; Statement $-2$ is not the correct explanation of Statement $-1$

  2. Statement-1 is false, Statement $-2$ is true

  3. Statement-1 is true, Statement-2 is false

  4. Statement $-1$ is true, Statement $-2$ is true; Statement $-2$ is the correct explanation of Statement $-1$


Correct Option: 1

Solution:

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