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the bohr model for the hydrogen atom says that the electron orbits the single pr

ID: 1268472 • Letter: T

Question

the bohr model for the hydrogen atom says that the electron orbits the single proton nucleus because of electrostatic attraction. If a particular excited state has the electron orbiting at a distance of 3.2 x 10^-10m then find the electrons speed presuming a circular orbitthe bohr model for the hydrogen atom says that the electron orbits the single proton nucleus because of electrostatic attraction. If a particular excited state has the electron orbiting at a distance of 3.2 x 10^-10m then find the electrons speed presuming a circular orbit

Explanation / Answer

F_centripedal = m^v^2 / r
That's one force. The other one is the electrostatic force.

F_e = k * q1 * q2 / r^2
F_e = 9*10^9 * 1.6 * 10^-19 * 1.6*10^-19 / (3.2 * 10^-10)^2
F_e = 2.25 * 10 ^ - 9

F_c = mv^2/r
2.25 * 10^-9 = 9.1 * 10^-31 v^2 / 3.2* 10^-10
v^2 = 7.912 * 10^11
v = sqrt(7.912*10^11)
v = 889499= 8.89 *10^5