Three rods of same dimensions are arranged as shown in the figure. They have thermal conductivities K1 ,K2 and K3 . The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ. Which of the following options is correct?
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a
K3=12K1+K2
b
K3=K1+K2
c
K3=K1K2K1+K2
d
K3=2K1+K2
answer is C.
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Detailed Solution
GivenQtPRQ=QtPQKsA(Δθ)2l=K3A(Δθ)l, here Ks=2K1K2K1+K2
Three rods of same dimensions are arranged as shown in the figure. They have thermal conductivities K1 ,K2 and K3 . The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ. Which of the following options is correct?