Thomson coefficient of a conductor is $10 \mu \mathrm{VK}$. The two ends of it are kept at $50^{\circ}…

Thomson coefficient of a conductor is $10 \mu \mathrm{VK}$. The two ends of it are kept at $50^{\circ} \mathrm{C}$ and $60^{\circ} \mathrm{C}$, respectively. Amount of heat absorbed by the conductor when a charge of $10 \mathrm{C}$ flows through it, is
  1. $1000 \mathrm{~J}$
  2. $100 \mathrm{~J}$
  3. $100 \mathrm{~mJ}$
  4. $1 \mathrm{~mJ}$

Solution

Amount of heat absorbed $H=\sigma q \Delta t$ $\begin{aligned} & =10 \times 10^{-6} \times 10 \times(60-50) \\ & =10 \times 10^{-6} \times 10 \times 10 \\ & =10^{-3} \mathrm{~J} \\ & =1 \mathrm{~mJ}\end{aligned}$

Asked in: AP EAMCET 2001

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