Bohr radius of 1^(st) orbital of hyddrogen atom is 0529A.Assuming that the position of an electron in this orbit is determined with the accuracy of 0.5% of the radius,calculate the uncertainty in the velocity of the electron in hydrogen atom.

Bohr radius of 1^(st) orbital of hyddrogen atom is 0529A.Assuming that

1.	Bohr radius of 1^(st) orbital of hyddrogen atom is 0529A.Assuming that the position of an electron in this orbit is determined with the accuracy of 0.5% of the radius,calculate the uncertainty in the velocity of the electron in hydrogen atom.
Answer» Solution :UNCERTAINTY in POSITION`=/_\x` `=(0.5%)/(100%)xx05.29A` `=(0.5)/(100)xx10^(-10)xx0.529m` `/_\x=2.645xx10^(13)m` From Heisenberg.s uncertainty principle, `/_\x./_\.+h/(4pi)` `/_\x.m./_\V.+h/(4pi)` `/_\vgt=h/(/_\x.m.4pi)` `/_\v=(6.626xx10^(-34)Khm^(2)s^(-1))/(2.645xx10^(13)mxx9.11xx10^(-31)kGxx4xx3.14)` `/_\v=2.189xx10^(8)m`