To measure the temperature coefficient of resistivity $\alpha$ of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at $25^{\circ} \mathrm{C}$ and resistance of the semiconductor arm is $3 \mathrm{~m} \Omega$. Arm BC is cooled at a constant rate of $2^{\circ} \mathrm{C} / \mathrm{s}$. If the galvanometer $\mathrm{G}$ shows no deflection after $10 \mathrm{~s}$, then $\alpha$ is :
  • A$-2 \times 10^{-2} \ { }^{\circ} \mathrm{C}^{-1}$
  • B$-1.5 \times 10^2 \ { }^{\circ} \mathrm{C}^{-1}$
  • C$-1 \times 10^{-2} \ { }^{\circ} \mathrm{C}^{-1}$
  • D$-2.5 \times 10^{-2} \ { }^{\circ} \mathrm{C}^{-1}$
JEE MAIN 2024, Diffcult
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