Question

1) What is the length of a box in which the minimum energy of an electron is 1.6×10−18 J ? L= ____________nm

2) A proton is confined within an atomic nucleus of diameter 4.3 fm (1fm=10−15m). Estimate the smallest range of speeds −v0<vp<+v0 you might find for a proton in the nucleus. Express your answer with the appropriate units.

Answer 1

The ground state energy of the electron in a box is The length of a box is (6.626×10-34 J's 18(9.11×10-31 kg)(1.60x10-B J) =1.94 × 10-10 m=0. 194 nm 8m1E,