Important Guidelines:Show all the major solution stepsAlways end your answers with the proper unitsSolve and submit the following problems:4.(I) If an electrons position can be measured to an accuracy of 2.0 xhow accurately can its speed be known?6.(I) Theboson discovered in 1985 is the mediator of the weak nuclear force and it typically decays very quickly. Its average rest energy is 91.19 GeV but its short lifetime shows up as an intrinsic width of 2.5 GeV (rest energy uncertainty). What is the lifetime of this particle?8. (II) A free neutron (m = 1.67 xkg) has a mean life of 900 s. What is the uncertainty in its mass (in kg)?14. (I) Forn = 5 I = 3what are the possible values ofandm1andm3 ?18. (I) List the quantum numbers for each electron in the ground state of nitrogen(Z = 7)20. (I) Calculate the magnitude of the angular momentum of an electron in then = 4 I = 3state of hydrogen.