Home
Class 12
PHYSICS
A metallic prong consists of 4 rods made...

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

A

`25^(@)C`

B

`50^(@)C`

C

`60^(@)C`

D

`75^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
D

` 3(kA)/(l) [100 - T]=(kA)/(l)[T-0]`
` 3 w - 3T = T`
` T =75^(@)C`
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    KVPY PREVIOUS YEAR|Exercise PART-I ( PHYSICS)|20 Videos

  • MOCK TEST 9

    KVPY PREVIOUS YEAR|Exercise EXERCISE|19 Videos

  • QUESTION PAPER 2020

    KVPY PREVIOUS YEAR|Exercise PART-I : PHYSICS |50 Videos

Similar Questions

Explore conceptually related problems

Seven identical rods of matrical of thermal conductivity k are connected as shown in All the rod are of identical length l and cross sectional area A if the one end b is kept at 100^(@)C and the other end is kept at 0^(@)C The temperatures of the junctions C,D and E(theta_(D)andtheta_(E)) be in the steady state .

Three rods of the same dimensions have thermal conductivities 3 k , 2 k and k . They are arranged as shown, with their ends at 100^(@)C, 50^(@)C and 0^(@)C . The temperature of their junction is :-

Figure shows a copper rod joined to a steel rod. The rods have equal length and and the equal cross sectional area. The free end of the copper rod is kept at 0^(@)C and that of the steel rod is kept at 100^(@)C . Find the temperature at the junction of the rods. conductivity of copper =390WM^(-1) ^(@)C^(-1) and that of steel =46Wm^(-1) (@)C^(-1) .

Three rods are made from the same material and having the same cross-sectional area and length have been joined as shown in the figure. The left end and right end are kept 0^@C and 100^@C , respectively . The temperature of the junction of three rods will be

The thermal conductivity of copper is four times that of brass. Two rods of copper and brass of same length and cross-section are joined end to end. The free end of copper rod is at 0^(@)C and that of brass rod at 100^(@)C . Calculate the temperature of junction at equilibrium. neglect radiation losses.

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

Three rods of the same dimension have thermal conductivities 3K, 2K and K. They are arranged as shown in fig. Given below, with their ends at 100^(@)C, 50^(@)C and 20^(@)C . The temperature of their junction is :-

Figure shows a copper rod joined to a steel rod. The rods have equal length and equal cross-sectional area. The free end of the copper rod is kept at 0^@C and that of the steel rod is kept at 100^@C . Find the temperature theta at the junction of the rods. Conductivity of copper =390 W//m-^@C and that of steel = 46 W//m-^@C . .