Home
Class 12
PHYSICS
Three rods of equal length, area of cros...

Three rods of equal length, area of cross section and thermal conductivity are connected as shown in the figure.

There is no heat loss through lateral surface of the rods and temperature of ends are `T_(A)=100^(@)C, T_(B)=70^(@)C` and `T_(C)=50^(@)C`. Find the temperature of junction.

Text Solution

Verified by Experts

The correct Answer is:
`73.3^(@)C`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two similar rods are joined as shown in figure. Then temperature of junction is (assume no heat loss through lateral surface of rod and temperatures at the ends are shown in steady state )

Two bars of same length and same cross-sectional area but of different thermal conductivites K_(1) and K_(2) are joined end to end as shown in the figure. One end of the compound bar it is at temperature T_(1) and the opposite end at temperature T_(2) (where T_(1) gt T_(2) ). The temperature of the junction is

Three bars of equal lengths and equal area of cross-section are connected in series fig. their thermal conducitives are in the ratio 2:3:4 . If at the steady state the open ends of the first and the last bars are at temperature 200^(@)C and 20^(@)C respectively, find the temperature of both the junctions. .

Two bodies of masses m_(1) and m_(2) and specific heat capacities S_(1) and S_(2) are connected by a rod of length l , cross-section area A , thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the first body is T_(1) and the temperature of the second body is T_(2)(T_(2)gtT_(1)) . Find the temperature difference between the two bodies at time t .

Two bodies of masses m_(1) and m_(2) and specific heat capacities S_(1) and S_(2) are connected by a rod of length l, cross-section area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t=0 , the temperature of the first body is T_(1) and the temperature of the second body is T_(2)(T_(2)gtT_(1)) . Find the temperature difference between the two bodies at time t.

Three bars of equal lengths and equal areas of cross-section are connected in series. Their thermal conductivities are in the ratio of 2:4:3. If the open ends of the first and last bars are at temperatures 20^(@)C and 18^(@)C respectively in the steady state calculate the temperature of both the junctions.

Two rods of similar area of cross section and length are joined as shown in the figure. The ratio of their thermal conductivity is 2:3. The free ends are maintained at 100^(@)C and 0^(@)C respectivley. THE temperature at junction in steady state is

Three rods of material X and three rods of material Y are connected as shown in the figure. All the rods are of identical length and cross-sectional area. If the end A is maintained at 60^@C and the junction E at 10^@C . Calculate the temperature of the junction B, C and D. The thermal conductivity of X is 0.92cal//sec-cm^@C and that of Y is 0.46cal//sec-cm-^@C .

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross sectional area. If the end A is maintained at 60^(@)C and the junction E at 10^(@)C , calculate the temperature of the junction B. The thermal conductivity of x is 800Wm^(-1)C^(-1) and that of y is 400Wm^(-1)C^(-1) .

Three rods of material x and three of material y are connected as shown in figure. All the rods are identical in length and cross sectional area. If the end A is maintained at 60^(@)C and the junction E at 10^(@)C , calculate the temperature of the junction B . The thermal conductivity of x is 800Wm^(-1).^(@)C^(-1) and that of y is 400Wm^(-1).^(@)C^(-1) .