KCET2011PhysicsThermal Properties of Matter
Three identical rods A, B and C are placed end to end. A temperature difference is maintained between the free ends of A and C . The thermal conductivity of B is thrice that of C and half of that of A . The effective thermal conductivity of the system will be (K_ A . is the thermal conductivity of . rod A )
Options
- A1 3 K_ A
- B3 K_ A
- C2 K_ A
- D2 3 K_ A
Correct answer
A. 1 3 K_ A
Step-by-step solution
array ll Given, & K_ B =K_ A / 2, and & K_ B =3 K_ C & K_ C =K_ A / 6 array Rods are in series form so gathered L K = l₁ K_ A + l₂ K_ B + l₃ K_ C 3 l K = l K_ A + l K_ A / 2 + l K_ A / 6 3 l K = 9 l K_ A K= K_ A 3 gathered