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Mean lifetime of the nucleus,$t_{avg}={10}^{-22}s$

The uncertainty principle given by Heinsberg states that an electron's position and velocity can be measured. At the same time, not even in theory.

A compound nucleus is an unstable nucleus formed by the coalescence of an atomic nucleus with a captured particle.

Formula:

The energy-time uncertainty relation,$鈭�E路鈭�t=\sout{h}or鈭�E路鈭�t=h/2\mathrm{蟺}........\left(1\right)$

where, h is the Planck鈥檚 constant.

Using the given data in equation (1), we can get the uncertainty in energy for an intermediate nucleus as follows:

$$\begin{gathered} 鈭�E鈮�\frac{h/2\mathrm{蟺}}{t_{avg}} \\ =\frac{\left(6.626脳{10}^{-34}\mathrm{J}.\mathrm{s}\right)/2\mathrm{蟺}}{\left(1.6脳{10}^{-19}\mathrm{J}.\mathrm{eV}\right)\left(1.0脳{10}^{-22}\mathrm{s}\right)} \\ 鈮�6.6脳{10}^6\mathrm{eV} \\ =6.6\mathrm{MeV} \end{gathered}$$

Hence, the uncertainty in energy is $6.6\mathrm{MeV}$.

In order to fully distribute the energy in a fairly large nucleus, and create a compound nucleus鈥� equilibrium configuration, about ${10}^{-15}$sis typically required. A reaction state that exists no more than about ${10}^{-22}$sdoes not qualify as a compound nucleus.