JEE Main 2019PhysicsThermal Properties of MatterMediumMCQ

JEE Main 2019Thermal Properties of Matter Question with Solution

JEE Main 2019 (12 Jan Shift 1)

Question

A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductivity of the material of the inner cylinder is K1 and that of the outer cylinder is K2. Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder is:

Choose an option

Show full solutionCorrect option: D
Correct answer
DK1+3K24

Step-by-step explanation

Let q1 and q2 be the rate of flow of heat through inner part from outer part respecting net flow of heat


q=q1+q2

=K1πR2l.ΔT+K2.π2R2-R2l.ΔT

=πR2lΔTK1+3K2

If the cylinder is replaced by a single material of thermal conductivity K then

q=K.2R2l.ΔT

On comparison,

K=K1+3K24.

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About this question

This is a previous-year question from JEE Main 2019, covering the Thermal Properties of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.