Problema Solution
Electron in the hydrogen atom moves at a constant speed of 2.2 x 106 m/s in a circle around the nucleus of the atom. The centripetal acceleration of the electron is 9.13 x 1022 m/s2. Find the a. radius of the electron orbit. b. number of revolutions per second made by the electron.
Answer provided by our tutors
acceleration = v^2/r
v=2.2*106 m/s
so acceleration = 9.13 x 1022 m/s2
so radius = 9.13 x 1022/(2.2*106)^2
= 0.1716 metres
circumference= 2*3.14 *.1716=1.0783 metres
so number of revolutions = 2.2 * 106/1.0783 = 216.27 revolutions made per second by the electron