Answer:
[tex]N = 8.1 \times 10^{10}[/tex]
Explanation:
Initial charge on the rod is
[tex]Q_i = 14 nC[/tex]
final charge on the rod is
[tex]Q_f = 1 nC[/tex]
now the charge transferred from to the sphere is given as
[tex]\Delta Q = Q_i - Q_f[/tex]
[tex]\Delta Q = 14 - 1 = 13 nC[/tex]
now we also know that
Q = Ne
so number of particles transferred is
[tex]N = \frac{\Delta Q}{e}[/tex]
[tex]N = \frac{13 \times 10^{-9}}{1.6 \times 10^{-19}}[/tex]
[tex]N = 8.1 \times 10^{10}[/tex]