The Thomson coefficient of a conductor is $10 \mu V/K$. The two ends of the conductor are maintained at $50^{\circ}C$ and $60^{\circ}C$,respectively. The amount of heat absorbed by the conductor when a charge of $10 C$ flows through it is:
- A$1000 \text{ } J$
- B$100 \text{ } J$
- C$100 \text{ } mJ$
- D$1 \text{ } mJ$
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