JEE MAIN - Physics (2022 - 24th June Morning Shift - No. 18)

Two metallic blocks M1 and M2 of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M2 is K then the thermal conductivity of M1 will be :

[Assume steady state heat conduction]

JEE Main 2022 (Online) 24th June Morning Shift Physics - Heat and Thermodynamics Question 152 English

10 K
8 K
12.5 K
2 K

Explanation

Thermal current is same so

$${{dQ} \over {dt}} = {{\Delta {T_1}} \over {{{{I_1}} \over {{K_1}A}}}} = {{\Delta {T_2}} \over {{{{I_2}} \over {{K_2}A}}}}$$

or $${{20} \over {16}} \times K' = {{80} \over 8} \times K$$

$$ \Rightarrow K' = 8\,K$$

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