- #1
psy
- 13
- 1
Hey guys,
The following thing got me a little bit messed up.
I want to calculate the orbital radii of an Hydrogen atom if the angular velocity of the electron is 10^16 * s^-1.
At first i set the centripetal force and the electrostatic force as equals.
( m * v^2 )/ r =k * (e^2) / r^2
v = ω * r
( m * ω^2 * r^2) / r = k * (e^2) / r^2
r ^3 = k * (e^2) / ( m * ω^2 )
r^3 = 8,99 * 10^9 Nm^2 / C * (1,60 * 10^-19 C )^2 / 9.11 10^-31 Kg * (10^16 s^-1 )^2
r^3 = (23,015 * 10^-29 Nm^2 C ) / 91,1 Kg/s^2
r =13,61 * 10^-11
While the Hydrogen radii is 0,52 * 10^-10 , I am checking it over and over again and can't find where i messed up.
Can someone tell me where i was wrong with the calculation?
Kind Regards
The following thing got me a little bit messed up.
I want to calculate the orbital radii of an Hydrogen atom if the angular velocity of the electron is 10^16 * s^-1.
At first i set the centripetal force and the electrostatic force as equals.
( m * v^2 )/ r =k * (e^2) / r^2
v = ω * r
( m * ω^2 * r^2) / r = k * (e^2) / r^2
r ^3 = k * (e^2) / ( m * ω^2 )
r^3 = 8,99 * 10^9 Nm^2 / C * (1,60 * 10^-19 C )^2 / 9.11 10^-31 Kg * (10^16 s^-1 )^2
r^3 = (23,015 * 10^-29 Nm^2 C ) / 91,1 Kg/s^2
r =13,61 * 10^-11
While the Hydrogen radii is 0,52 * 10^-10 , I am checking it over and over again and can't find where i messed up.
Can someone tell me where i was wrong with the calculation?
Kind Regards