Three rods of the same dimensions have thermal conductivities $3k, 2k$ and $k$. They are arranged as shown, with their ends at $100\,^oC, 50\,^oC$ and $0\,^oC$. The temperature of their junction is
Three rods of the same dimensions have thermal conductivities $3k, 2k$ and $k$. They are arranged as shown, with their ends at $100\,^oC, 50\,^oC$ and $0\,^oC$. The temperature of their junction is
- A
$75\,^oC$
- B
$\frac{{200}}{3}\,^oC$
- C
$40\,^oC$
- D
$\frac{{100}}{3}\,^oC$
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- [KVPY 2011]
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