Home
Class 12
PHYSICS
Three identical rods have been joined at...

Three identical rods have been joined at a junction to make it a Y shape structure .If two free ends are maintained at `60"^(@)C` and the thired end is at `0"^(@)C` then what is the juction temperature `theta`?

Text Solution

Verified by Experts

Rods are in steady state
So, `H=H_1+H_2`
`implies(KA(theta-0))/(L)=(KA(60-0))/(L)+kA((60-theta))/(L)`
`impliestheta=60-theta+60-0`
`implies` 30=120
`implies0=40"^(@)C`
Promotional Banner

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE|Exercise Try Youself|16 Videos
  • THERMAL PROPERTIES OF MATTER

    AAKASH INSTITUTE|Exercise Assignment (Section-A) Objective Type questions (one option is correct)|50 Videos
  • TEST 9

    AAKASH INSTITUTE|Exercise EXAMPLE|61 Videos
  • THERMODYNAMICS

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION -D) (Assertion - Reason Type Questions)|10 Videos

Similar Questions

Explore conceptually related problems

Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at 60^(@)C and the third end is at 0^(@)C , then what is the junction temperature theta ? ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_PHY_R03_E09_001_Q01.png" width="80%"gt

Three identical rods have been joined at a junction to make it a Y shape structure. If two free ends are maintained at 45^(@)C and the end is at 0^(@)C , then what is the junction temperature T?

A rod AB is 1m long. The temperature of its one end A is maintained at 100^(@) C and other end B at 10^(@) C, the temperature at a distance of 60 cm from point B is

Two rods of same dimensions, but made of different materials are joined end to end to end with their free end being maintained at 100^(@)C and 0^(@)C respectively. The temperature of the junction is 70^(@)C . Then the temperature of the junction if the rods are inerchanged will be equal to T^(@)C Find T :

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) .

A metallic prong consists of 4 rods made of the same material, cross-section and same lengths as shown. The three forked ends are kept at 100^(@) C and the handle end is at 0^(@)C . The temperature of the junction is

Two rods having thermal conductivity in the ratio of 5 : 3 having equal lengths and equal cross-sectional area are joined by face to face. If the temperature of the free end of the first rod is 100^(@)C and free end of the second rod is 20^(@)C . Then temperature of the junction is

Two rods of material, x and two of y are connected as shown in the figure. All the rods are indentical in length and cross-sectional area. If the end A is maintained at 80^(@)C and the end D is maintained at 10^(@)C , calculate the temperature of the junctions B and C in the steady state. Thermal conductivity of x is double that of y .

In the steady state the two ends of a meter rod are at 30^(@)C and 20^(@)C the temperature at the 40^(th) cm from the end at higher temperature is .

Metal rods X and Y of identical cross-sectional area, have lengths 60 cm and 30 cm respectively. They are made of metals of thermal conductivities lambda_(x) and lambda_(y) . They are well-lagged and joined end-to-end as shown in the figure-4.43. One end of X is maintained at 100^(@)C and the opposite end of Y is maintained at 0^(@)C . When steady conditions have been .reached, the temperature of the junction is found to be 25^(@)C . What is the value of (lambda_(x))/(lambda_(y)) ?