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Q.

Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are K1 and K2 and cross sectional areas A1 and A2, respectively. If the rate of heat conduction in 1 is four times that in 2 , then

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a

K1A1=4K2A2

b

K1A1=2K2A2

c

4K1A1=K2A2

d

K1A1=K2A2

answer is A.

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Detailed Solution

Let L be length of each rod. Rate of heat flow in rod 1 for the temperature difference ΔT isH1=K1A1ΔTLRate of heat flow in rod 2 for the same difference } ΔT is H2=K2A2ΔTLAs per questionH1=4H2 K1A1ΔTL=4K2A2ΔTL K1A1=4K2A2

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