Home
Class 12
PHYSICS
Three very large plates of same area are...

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal black surfaces and have very high thermal conductivity. The first and third plates are maintained at temperature 2T and 3T respectively. The temperature of the middle (i.e. second) plate under steady state condition is

A

`(65/2)^(1//4)T`

B

`(97/4)^(1//4)T`

C

`(97/2)^(1//4)T`

D

`97^(1//4)T`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Three very large plates of same area are kept parrallel and close to each other. They are considered as ideal black surfaces and have high thermal conductivity. The first and third plates are maintained at temperatures 2T and 3T respectively. The temperature of the middle (i.e., second) plate under steady state condition is

Three rods AB, BC and BD having thermal conductivities in the ratio 1:2:3 and lengths in the ratio 2:1:1 are joined as shown in Fig. The ends A, C and D are at temperature T_1 , T_2 and T_3 respectively Find the temperature of the junction B. Assume steady state.

Two plates of same area are placed in contact. Their thickness as well as thermal conductivities are in the ratio 2:3 . The outer surface of one plate is maintained at 10^(@) C and that of the other at 0^(@) C. What is the temperature at the common surface?

Eleven identical rods are arranged as shown in Fig. Each rod has length l , cross sectional area A and thermal conductivity of material k. Ends A and F are maintained at temperatures T_1 and T_2(ltT_1) , respectively. If lateral surface of each rod is thermally insulated, the rate of heat transfer ((dQ)/(dt)) in each rod is

Two ends of a rod of uniform cross sectional area are kept at temperature 3T_(0) and T_(0) as shown. Thermal conductivity of rod varies as k=alphaT , (where alpha is a constant and T is absolute temperature). In steady state, the temperature of the middle section of the rod is

Three rods of identical area of cross-section and made from the same metal from the sides of an isosceles triangle. ABC, right angled at B. The points A and B are maintained at temperatures T and sqrt 2T RESPECTIVELY. In the steady state the temperature of the point C is T_(C) . Assuming that only heat conduction takes place , T_(C) / T is equal to

Three rods of identical cross-sectional area and made from the same metal form the sides of an equilateral triangle ABC The points A and B are maintained at temperature sqrt3 T and T respectively In the steady state, the temperature of the point C is T_(C) Assuming that only heat conduction takes place, the value of T_(C)//T is equal to .

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

A circular ring (centre O) of radius a, and of uniform cross section is made up of three different metallic rods AB, BC and CA (joined together at the points A, B and C in pairs) of thermal conductivityies alpha_1 , alpha_2 and alpha_3 respectively (see diagram). The junction A, B and C are maintained at the temperatures 100^@C , 50^@C and 0^@C , respectively. All the rods are of equal lengths and cross sections. Under steady state conditions, assume that no heat is lost from the sides of the rods. Let Q_1 , Q_2 and Q_3 be the rates of transmission of heat along the three rods AB, BC and CA. Then

A circular ring (centre O) of radius a, and of uniform cross section is made up of three different metallic rods AB, BC and CA (joined together at the points A, B and C in pairs) of thermal conductivityies alpha_1 , alpha_2 and alpha_3 respectively (see diagram). The junction A, B and C are maintained at the temperatures 100^@C , 50^@C and 0^@C , respectively. All the rods are of equal lengths and cross sections. Under steady state conditions, assume that no heat is lost from the sides of the rods. Let Q_1 , Q_2 and Q_3 be the rates of transmission of heat along the three rods AB, BC and CA. Then