The adjoining diagram shows the spectral energy density distribution \(E_{\lambda}\) of a black body at two different temperatures. If the areas under the curves are in the ratio \(16:1,\) the value of temperature \(T\) is: 

   
1. \(32000~\text K\) 
2. \(16000~\text K\)
3. \(8000~\text K\)
4. \(4000~\text K\)