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A metallic prong consists of 4 rods made of the same material, cross-section and same lengths as shown. The three forked ends are kept at $100^{\circ} \mathrm{C}$ and the handle end is at $0^{\circ} \mathrm{C}$. The temperature of the junction is
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$75^{\circ} \mathrm{C}$
$3 \frac{\mathrm{kA}}{\ell}[100-\mathrm{T}]=\frac{\mathrm{kA}}{\ell}[\mathrm{T}-0]$
$3 \mathrm{~W}-3 \mathrm{~T}=\mathrm{T}$
$\mathrm{T}=75^{\circ} \mathrm{C}$
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