MHT CET202312 May 2023Morning ShiftPhysicsThermal Properties of MatterActual
A composite slab consists of two materials having coefficient of thermal conductivity K and 2 ~K , thickness x and 4 x respectively. The temperature of the two outer surfaces of a composite slab are T ₂ and T ₁ ( ~T ₂> T ₁ ) . The rate of heat transfer through the slab in a steady state is [ A ( T ₂- T ₁ ) K x ] f where ' f ' is equal to
Options
- A1
- B2 3
- C1 2
- D1 3
Correct answer
D. 1 3
Step-by-step solution
array ll & R _ eq = R ₁+ R ₂ & R ₁= x KA , R ₂= 4 x 2 KA & R _ eq = x KA + 2 x KA = 3 x KA array Rate of heat transfer of composite slab is given by, aligned & dQ dt = T ₂- T ₁ R _ e q = KA ( T ₂- T ₁ ) 3 x & f = 1 3 aligned