KVPY2012PhysicsNuclear Physics
In one model of the electron, the electron of mass m_ c is thought to be a uniformly charged shell of radius R and total charge e, whose electrostatic energy E is equivalent to its mass m_ c via Einstein's mass energy relation E= m _ e c ² . In this model, R is approximately ( m _ c =9.1 10⁻³¹ ~kg , c =3 10⁸ ~ms ⁻¹, 1 / 4 ₀=9 10⁹ . Farad m ⁻¹ , magnitude of the electron charge .=1.6 10⁻¹⁹ C )-
Options
- A1.4 10⁻¹⁵ ~m
- B5.3 10⁻¹¹ ~m
- C2 10⁻¹³ ~m
- D2.8 10⁻³⁵ ~m
Correct answer
A. 1.4 10⁻¹⁵ ~m
Step-by-step solution
e ² 8 ₀ R = m _ e c ² solving for R