Heat and Thermodynamics 3 Question 27

27. Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures T1=300K and T2=100K, as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are K1 and K2, respectively. If the temperature at the junction of the cylinders in the steady state is 200K, then K1/K2=..

(2018 Adv.)

Integer Answer Type Questions

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Solution:

  1. (d) Rate of heat flow will be same,

300200R1=200100R2( as H=dQdt=TDR)

R1=R2L1K1A1=L2K2A2K1K2=A2A1=4



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