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