The rate of First order reaction is $$0.04 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$$ at 10 minutes and $$0.03 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~s}^{-1}$$ at 20 minutes after initiation. Half life of the reaction is _______ minutes.

(Given $$\log 2=0.3010, \log 3=0.4771$$)

On a thin layer chromatographic plate, an organic compound moved by $$3.5 \mathrm{~cm}$$, while the solvent moved by $$5 \mathrm{~cm}$$. The retardation factor of the organic compound is ________ $$\times 10^{-1}$$.

If IUPAC name of an element is "Unununnium" then the element belongs to n^th group of Periodic table. The value of n is ________.

Let $$g: \mathbf{R} \rightarrow \mathbf{R}$$ be a non constant twice differentiable function such that $$\mathrm{g}^{\prime}\left(\frac{1}{2}\right)=\mathrm{g}^{\prime}\left(\frac{3}{2}\right)$$. If a real valued function $$f$$ is defined as $$f(x)=\frac{1}{2}[g(x)+g(2-x)]$$, then