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Question

Physics Question on thermal properties of matter

Consider two rods of the same length and different specific heats (S1, S2), conductivities (K1, K2), and area of cross-sections (A1, A2) and both having temperature T1 and T2 at their ends. If the rate of loss of heat due to conduction is equal, then

A

K1A1 = K2A2

B

K1A1S1\frac{K_1A_1}{S_1} = K2A2S2\frac{K_2A_2}{S_2}

C

K2A1 = K1A2

D

K2A1S2\frac{K_2A_1}{S_2} = K1A2S1\frac{K_1A_2}{S_1}

Answer

K1A1 = K2A2

Explanation

Solution

The correct option is (A) : K1A1 = K2A2

Use dQdt=KAL(T1T2)\frac{dQ}{dt}=\frac{KA}{L}(T_1-T_2)