Three bodies A, B and C have equal surface area and thermal emissivities in the ratio `e_(A):e_(B):e_(C)=1:(1)/(2):(1)/(4)`. All the three bodies are radiating at same rate. Their wavelengths corresponding to maximum intensity are `l_(A),l_(B)` and `l_(C)` respectively and their temperature are `T_(A),T_(B)` and `T_(C)` on kelvin scale, then select the incorrect statement.

Options

A. `sqrt(T_(A)T_(C))=T_(B)`
B. `sqrt(lambda_(A)lambda_(C))=lambda_(B)`
C. `sqrt(e_(A)T_(A))sqrt(e_(C)T_(C))=e_(B)T_(B)`
D. `sqrt(e_(A)lambda_(A)T_(A).e_(B)lambda_(B)T_(B))=e_(C)lambda_(C)T_(C)`

Answer

D