A particle of mass m and charge -q moves diametrically through a uniformly charged sphere of radius R with total charge Q. The angular frequency of the particle's simple harmonic motion, if its amplitude <R, is given by 

• A

  $\sqrt{\frac{1}{4\pi {\epsilon }_0}\frac{qQ}{mR}}$

• B

  $\sqrt{\frac{1}{4\pi {\epsilon }_0}\frac{qQ}{m{R}^2}}$

• C

  $\sqrt{\frac{1}{4\pi {\epsilon }_0}\frac{qQ}{m{R}^3}}$

• D

  $\sqrt{\frac{1}{4\pi {\epsilon }_0}\frac{m}{qQ}}$