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The question states:

**9. Electron in bound orbit about proton. Suppose that an electron moves in a circular orbit about a proton at a distance of 2 X l0^-8 cm. Consider the proton to be at rest. (a) Solve for the velocity of the electron by equating the centrifugal and electrostatic forces.**

Considering that the elementary charge (charge of the electron is e = 4.8 x 10^-10 statcoloumbs), working on the cgs system, I equated the centrifugal force Fc=v²/r and the eletrostatic force Fe= e²/r². My way of solving the problem was:

Fc=Fe,

v²/r = e²/r²

v²= e²/r

v= (e²/r)¹/²

v= (2.3x10^-19/2x10^-8)¹/²

v = 11.5x10^-6 cm/s.

Which is clearly a way down from the correct value. Could anyone please help me?

Thanks!