Need help on how to find distance between electron and proton

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To find the distance between an electron and a proton in a single ionized Helium atom, the diameter of the atom is given as 0.95 x 10^-10 m, which indicates the distance from the center to the electron. Using Coulomb's law, the force between the electron and protons can be equated to the centripetal force required for circular motion. The equations provided, Fe = K*q1*q2/d^2 and F = mv^2/R, can be used to derive the electron's speed in its orbit. The challenge lies in calculating the speed without direct values for distance or time, but understanding the definitions of atomic radius and centripetal force is crucial. This approach will allow for the determination of the electron's velocity in relation to the protons at the center of the atom.
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1. According to the "Solar model" of a single ionized Helium atom has one electron revolving in a circular orbit around a stationary nucleus made of two protons and two newtrons. The diameter of this atom is .95*10^-10m. Use Coulomb's law and calculate the speed of the electron (m/s) in its orbit.

2. Homework Equations
Fe=K*q1*q2/d2 where k=8.99*10^9 Nm^2/s^2.
v=d/t

3. The Attempt at a Solution .
How do I go about solving this question when either of distance or time is given? Any help is appreciated.
 
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consider the protons as in the center of the atom.
the definition of atomic radius is the distance from the center of the atom to its farther electron.
so use the definition of centripetal force and you will get the velocity of the electron.
[;F=\frac{mv^2}{R};]
and [;F=\frac{K.Q_1.Q_2}{R^2};]
 

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