A black body radiates energy at the rate of $E watt/m^2$ at a high temperature T K. When the temperature is reduced to $\bigg(\large\frac{T}{2}\bigg)$K, the radiant energy is

Question

$$\begin {array} {1 1} (a)\;\frac{E}{2} & \quad (b)\;2E \\ (c)\;\frac{E}{4} & \quad (d)\;\frac{E}{16}\end {array}$$