The rectangular surface of area 8 cm \[\times \] 4cm of a black body at a temperature of \[{{127}^{o}}C\] emits energy at the rate of E per second. If the length and breadth of the surface are each reduced to half of the initial value and the temperature is raised to \[{{327}^{o}}C\], the rate of emission of energy will become [MP PET 2000]

• A.            \[\frac{3}{8}E\]                   
• B.            \[\frac{81}{16}E\]
• C.            \[\frac{9}{16}E\]                 
• D.            \[\frac{81}{64}E\]