In one model of the electron, the electron of mass me is thought to be a uniformly charged shell of radius R and total charge e, whose electrostatic energy E is equivalent to its mass me via Einstein's mass energy relation `E = m_(e)c^(2)`. In this model, R is approximately (`m_(e) = 9.1 xx 10^(-31) kg, c = 3 xx 10^(8), 1//4 pi epsilon_(0) = 9 xx 10^(9) "Farad" m^(-1)` , magnitude of the electron charge `= 1.6 xx 10^(-19)C`) –

Options

A. `1.4 xx 10^(-15)m`
B. `5.3 xx 10^(-11) m`
C. `2 xx 10^(-13) m`
D. `2.8 xx 10^(-35) m`

Answer

A