MHT CET202014 Oct 2020Evening ShiftPhysicsThermal Properties of MatterActual
A black rectangular surface of area A emits energy E per second at 27^ C . If length and breadth is reduced to ( 1 3 )^ rd of initial value and temperature is raised to 327^ C then energy emitted per second becomes
Options
- A2 E / 9
- BE / 9
- C16 E / 9
- D4 E / 9
Correct answer
C. 16 E / 9
Step-by-step solution
E = AT ⁴ E ₂ E ₁ = A ₂ ~A ₁ ( T ₂ ~T ₁ )⁴ ~A ₂= A ₁ 9 A ₂ ~A ₁ = 1 9 ~T ₁=27+273=300 k T ₂=327+273=600 k T ₂ ~T ₁ = 600 300 =2 E ₂ E ₁ = 1 9 (2)⁴= 16 9 E ₂= 16 9 E ₁= 16 9 E