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Question

A rod of 40 cm in length and temperature difference of 80 C between its two ends. Another rod B of length 60 cm and of temperature difference 90 C, have the same area of cross-section. If the rate of flow of heat is the same, then the ratio of their thermal conductivities will be

A
3 : 4
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B
4 : 3
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C
1 : 2
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D
2 : 1
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Solution

The correct option is A 3 : 4
dQdt=KA(θ1θ2)d
K1Δθ1l1=K2Δθ2l2 (dQdt and A are same)
K1×8040=K2×9060K1K2=34

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