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The attractive force between protons and neutrons in the nucleus is brought abou

ID: 2242369 • Letter: T

Question

                        The attractive force between protons and neutrons in the nucleus is brought about by the exchange of a virtual pi-meson(m_pi=140 MeV/c^2
                    

                        estimate the longest time a virtual pi^0 can exist, in accordance with the uncertainty principle (delta)E(delta)t=h. 1eV=1.6*10^-19J                     

                        1) 6.58283*10^-16 s                     

                        2) none of these
                    

                        3) 4.70202*10^-24 s
                    

                        4) 4.70202*10^-18 s                     

                        5) 4.70202*10^-26 s                     

                        6) 7.53264*10^-37 s
                    

                        7) 4.70202*10^-12 s                     

Explanation / Answer

delta E=mass*c^2=140 MeV=2.24*10^(-11) J


now delta E*delta t = h/(2*pi)


so delta t=4.70202*10^(-24) sec

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