ThermodynamicsHard
Question
A cylinder of radius R made of a material of material of thermal conductivity K2 is surrounded by cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K2. The two ends of the combined system are maintained at two different temperatures. There is no loss of heat across the cylindrical surface and the system is in steady state. The effective conductivity of the system is
Options
A.K1 + K2
B.K1K2 / (K1 + K2)
C.(K1 + 3K2) / 4
D.(3K1 + K2) / 4
Solution
Let R1 and R2 be the thermal resistance of inner and outer portions. Since, temperature difference at both ends is same, the resistances are in parallel. Hence,
∴
∴
∴ Correct option is (c).
Create a free account to view solution
View Solution FreeMore Thermodynamics Questions
When you make ice cubes, the entropy of water...The work done in the expansion of a gas from a volume 10 cm3 to 20 cm3 in an isobaric process at one atmospheric pressur...A gas at 50 N/m2 pressure is compressed from 10m3 to 4m3 under constant pressure. subsequently it is given 100 J of heat...In an adiabatic change, the pressure and temperature of a monoatomic gas are related with relation as P ∝ TC, wher...Heat is released by the gas in the process CD. n moles of a monoatomic gas undergoes a cyclic process ABCDA as shown. Pr...