In the Gold foil experiment of Geiger and Marsden,which paved the way for Rutherford's model of an atom,$\sim 1.00\%$ of the $\alpha$-particles were found to deflect at angles $> 50^o$. If one mole of $\alpha$-particles were bombarded on the gold foil,compute the number of $\alpha$-particles that would deflect at angles less than $50^o$.

• A
  $7.73 \times 10^{23}$
• B
  $5.51 \times 10^{23}$
• C
  $5.96 \times 10^{23}$
• D
  $4.95 \times 10^{23}$