Home
Class 12
PHYSICS
Three cylindrical rods A, B and C of equ...


Three cylindrical rods A, B and C of equal lengths and equal diameters are joined in series as shown if Fig. Their thermal conductivities are 2K, K and 0.5K, respectively. Assume negligible loss by radiation through the curved surface. What will be the equivalent thermal conductivity?

A

`K_(eq)=(6/7)K`

B

`K_(eq)=(4/5)K`

C

`K_(eq)=(8/7)K`

D

`K_(eq)=(7/6)K`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Three cylindrical rods A, B and C of equal lengths and equal diameters are joined in series as shown if Fig. Their thermal conductivities are 2K, K and 0.5K, respectively. In steady state, if the free ends of rods A and C are at 100^@C and 0^@C , respectively, calculate the temperature at the two junction points. Assume negligible loss by radiaiotn through the curved surface. What will be the equivalent thermal conductivity?

Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K_(1) and K_(2) . The thermal conductivity of the composite rod will be

Three rods of same dimension are joined in series having thermal conductivity k_1 , k_2 and k_3 . The equivalent thermal conductivity is

Three rods each of same length and cross - section are joined in series. The thermal conductivity of the materials are K , 2K and 3K respectively. If one end is kept at 200^@C and the other at 100^@C . What would be the temperature of the junctions in the steady state? Assume that no heat is lost due to radiation from the sides of the rods.

Two metal rods 1 and 2 of the same length have same temperature difference between their ends. Their thermal conductivities are K_1 and K_2 and cross-section areas A_1 and A_2 respectively. What is the required condition for the same rate of heat conduction in them?

Three rods A, B and C of the same length and same cross-sectional area are joined as shown. Their thermal conductivities are in the ratio 1:2:3/2. If the open ends of A and C are at 200^@ C and 18^@ C, respectively, then the temperature at the junction of A at steady state is

Two rods of length d_(1) and d_(2) and coefficients of thermal conductivites K_(1) and K_(2) are kept touching each other. Both have the same area of cross-section. The equivalent thermal conductivity.

Two metal rods 1 and 2 of same lengths have same temperature difference between their ends. Their thermal conductivities are K_(1) and K_(2) and cross sectional areas A_(1) and A_(2) respectively. If the rate of heat conduction in 1 is four times that in 2, then

Two rods of equal length and diameter have thermal conductivite 3 and 4 units respectively. If they are joined in series, the thermal conductivity of the combination in the given units would be

Two rods of length l_(1) and l_(2) and coefficients of thermal conductivities k_(1) and K_(2) are kept touching each other. Both have the same area of cross-section. The equivalent of thermal conductivity is