AP EAMCET201822 Apr 2018Morning ShiftPhysicsThermal Properties of MatterActual
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. First and third plates are maintained at absolute temperatures 2 T and 3 T respectively. Temperature of the middle plate in steady state is
Options
- A( 65 2 )^ 1 4 ~T
- B( 97 4 )^ 1 4 ~T
- C( 97 2 )^ 1 4 ~T
- D(97)^ 1 4 ~T
Correct answer
C. ( 97 2 )^ 1 4 ~T
Step-by-step solution
Let assume temperature of middle plate is T₀ . As temperatures are constant, Heat gained by middle surface = Heat lost by middle surface. So, A [(3 T)^4-T₀^4 ]= A [T₀^4-(2 T)^4 ] T₀^4= 97 2 T^4 T₀= ( 97 2 )^ 1 / 4 T