Home
Class 12
PHYSICS
A cylinder of radius R, made up of a mat...

A cylinder of radius R, made up of a material (thermal conductivity `k_1`) is surrounded by a cylindrical sheet of inner radius R and outer radius 2R (thermal conductivity `k_2`). 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. Calculate the effective thermal conductivity of the system.

Text Solution

Verified by Experts

The correct Answer is:
`K_1+3K_2`
Promotional Banner

Topper's Solved these Questions

  • PHYSICS PART2

    FIITJEE|Exercise Section (II) : MCQ|27 Videos

  • PHYSICS PART2

    FIITJEE|Exercise MCQ|21 Videos

  • PHYSICS PART2

    FIITJEE|Exercise Numerical Based Question Decimal Type|6 Videos

  • PHYSICS PART-III

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS DECIMAL TYPE|11 Videos

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise COMPREHENSION - IV|2 Videos

Similar Questions

Explore conceptually related problems

A cylinder of radius R made of a material of thermal conductivity K_1 is surrounded by a cylinderical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K_2 . 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 effictive thermal conductivity of the system is

A cylinder of radius R made of a material of thermal conductivity K_1 is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity K_2 . 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 thermal conductivity of the system is (a) K_1 + K_2 (b) K_1K_2//(K_1+K_2) (c ) (K_1 + 3K_2)//4 (d) (3K_1 + K_2)//4 .

A cylinder of radius R made of a material of thermal conductivity K_(1) is surrounded by cylindrical shell of inner radius R and outer radius 2R made of a material of thermal con-ductivity K_(2) The two ends of the combined system are maintained at two differnet tem-peratures There is no loss of heat across the cylindrical surface and system is in steady state What is the effective thermal conductivity of the system .

A cylinder of radius R made of material of thermal conductivity K_(1) is surrounded by a cylindrical shell of inner radius R and outer radius 3R made of a material of thermal conductivity K_(2) . The two ends of the combined system are maintained at two different temperatures. What is the effective thermal conductivity of the system ?

A cylinder A of a material of thermal conductivity K_(1) is surrounded by a cylindrical shell of inner radius equal to the cylinder. The shell is made of a material of thermal conductivity K_(2) . The two ends of the combined system are maintained at two different temperature. if the effective thermal conductivity of the system is (4K_(1) + 5K_(2))/(9) , find the rate of outer radius of the shell to the radius of the cylinder.

A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and oputer radius 2R. The thermal conductivity of the material of the inner cylinder si k_(1) and that of the outer cylinder is K_(2) ,Assumming no loss of heat , the effective thermal conductivity of the system for heat flowing along the length of the cylionder is :

Calculated thermal conductance for radial flow of a spherical sheel of inner and outer radius r_(1) and r_(2) . Assume that thermal conductivity of the material is K

Thermal conductivity of inner core of radius r is K and of the outer one of radius 2r is 2K. Find equivalent value of thermal conductivity between its two ends.

A metallic cylindrical shell of length 50 cm has inner radius of 3 cm and outer radius of 6 cm. If the inner and outer surfaces of the cylinder are maintained at 0^@C and 80^@C , respectively, then find the rate of flow of heat from the outer surface to the inner surface. Take, thermal conductivity of metal = 69.3 Wm^(-1) k^(-1)