Find Temperature difference between B and C ? (All rods are identical)

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10-2.Transmission of Heat

normal

Find Temperature difference between $B$ and $C$ ? (All rods are identical)

A

$\frac{{600}}{{13}}\ ^oC$

B

$\frac{{500}}{{7}}\ ^oC$

C

$\frac{{400}}{{13}}\ ^oC$

D

$\frac{{700}}{{6}}\ ^oC$

Solution

Resistance of all rods $=\mathrm{R}$

$\Delta \mathrm{T}=100^\circ \mathrm{C}$

Expanding it on a plan

$\text { By symmetry } \quad \mathrm{T}_{\mathrm{H}}=\mathrm{T}_{\mathrm{B}}$

$\mathrm{T}_{\mathrm{C}}=\mathrm{T}_{\mathrm{E}}$

$\Rightarrow$ Points $\mathrm{B}$ and $\mathrm{H} \& \mathrm{E}$ and $\mathrm{C}$ coule

ai ned toget her.

olving it like normal current circuit

Temp. difference across $\mathrm{BC}$

$\frac{{{{100}^ \circ } – {0^ \circ }C}}{{\frac{{7R}}{2}}} \times \frac{{5R}}{2} = \frac{{100}}{7} \times 5 = \frac{{500}}{7}{\,^ \circ }C$

Standard 11

Physics

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