Saved Bookmarks
| 1. |
It is found expertimentally that 13.6eV energy is required to separated a hydrogen atom into a proton and an electron. Compute the orbital radius and velocity of electron in a hydrogen atom. |
|
Answer» Here, total energy of electron `E=-13.6eV=-13.6xx1.6xx10^(-19)J` `=-2.2xx10^(-18)J` form `E=(-e^2)/(8pi in_0r)` `r=(-e^2)/(2(4pi in_0r)E)=(-9xx10^(-19)xx(1.6xx10^(-19))^2)/(2(-2.2xx10^(-18)))` `=5.3xx10^(-11)m` velocity, `v=e/(sqrt(4pi in_0 mr))` Where `m=9.1xx10^(-31)kg` `:. v=(1.6xx10^(-19))/(sqrt((9.1xx10^(-31)xx5.3xx10^(-11))/(9xx10^9)))` `=2.2xx10^6m//s` |
|