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The rectangular surface of area \( 4 \mathrm{~cm} \times 2 \mathrm{~cm} \) of a black
\( \mathrm{P} \) body at a temperature of \( 127^{\circ} \mathrm{C} \) emits energy at the

W rate of \( E \). If the length and breadth of the surface are each reduced to half of the initial value and the temperature is raised to \( 327^{\circ} \mathrm{C} \), the rate of emission of energy will become:
(1) \( \frac{3}{8} E \)
(2) \( \frac{81}{16} E \)
(3) \( \frac{9}{16} E \)
(4) \( \frac{81}{64} E \)
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