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10-1.Thermometry, Thermal Expansion and Calorimetry
normal
Six identical conducting rods are joined as shown. The ends $A$ and $D$ are maintained at $200\,^oC$ and $20\,^oC$ respectively. No heat is lost to surroundings. The temperature of the junction $C$ will be ........ $^oC$
A
$60$
B
$80$
C
$100$
D
$120$
Solution
Let us assume that each rod has a resistance of
$R$ then the equivalent circuit will be
The resistance of each $\mathrm{AB} . \mathrm{BC}$ and $\mathrm{CD}$ is $\mathrm{R}$
Thus the temperature will be equally distributed
along the three parts. So tempeature difference
between $\mathrm{AB}$ is $60^{\circ} \mathrm{C}$ between $\mathrm{B} \& \mathrm{C}$ is $60^{\circ} \mathrm{C}$
so total drop is $120^{\circ} \mathrm{C}$. So the temp of $\mathrm{C}$ is $80^{\circ} \mathrm{C}$
Standard 11
Physics
