Home
Class 11
PHYSICS
A cylinder of radius r made of a materia...

A cylinder of radius r made of a material of thermal conductivity `K_(1) = K` is surrounded bt cylendrical shell of inner radius R and outer radius 3R made of a material of thermal conductivity `K_(2) = 2K`. The two ends of the combined system are maintained at two different temperatures .
there is no loss of heat across the cylendrical surface and system is in steadt state . what is the effective thermal conductivity of the system ?

A

`K_(1)+K_(2)`

B

`(K_(1)K_(2))/(K_(1)+K_(2))`

C

`(K_(1)+3K_(2))/(4)`

D

`(3K_(1)+K_(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct Answer Type|2 Videos

  • TRANSMISSION OF HEAT

    CENGAGE PHYSICS ENGLISH|Exercise Comprehension type|4 Videos

  • THERMODYNAMICS

    CENGAGE PHYSICS ENGLISH|Exercise 24|1 Videos

  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 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 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. Show that the effective thermal conductivity of the system is (K_1 + 3K_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 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 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 is surrounded by a cylindrical shell of inner radius R and oputer radius 2R. The thermal conductivity of the material of the inner cylinder is 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 cylinder 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 hollow conducting sphere of inner radius r and outer radius 2R is given charge Q as shown in figure, then the

Three rods of same dimensions have thermal conductivity 3K,2K and K They are arranged as shown in Then the temperature of the junction in steady state is .

Five rods of same dimensions are arranged as shown in the figure. They have thermal conductivities K _(1) , K_(2) , K _(3) , K_( 4) and K_( 5) . When points A and B are maintained at different temperatures, no heat flows through the central rod if