Two spherical bodies of the same material having radii \(0.2~ \text m\) and \(0.8~ \text m\) are placed in the same atmosphere. The temperature of the smaller body is \(800 ~ K \) , and the temperature of the bigger body is \(400~ K\). If the energy radiated from the smaller body is \(E, \) the energy radiated from the bigger body is: (assume the effect of the surrounding temperature to be negligible).
1. \(256 ~E\)
2. \(16 ~E\)
3. \(64~ E\)
4. \(E\)