To determine the potential difference (V) between two points, we can use the following formula from physics:
[tex]\[ V = \frac{W}{Q} \][/tex]
Where:
- [tex]\( W \)[/tex] is the work done (in joules)
- [tex]\( Q \)[/tex] is the charge (in coulombs)
Given that:
- [tex]\( W = 4.7 \times 10^{-12} \)[/tex] joules
- [tex]\( Q = 5.2 \times 10^{-13} \)[/tex] coulombs
We substitute these values into the formula:
[tex]\[ V = \frac{4.7 \times 10^{-12}}{5.2 \times 10^{-13}} \][/tex]
By evaluating this expression, we find:
[tex]\[ V = 9.038461538461538 \][/tex]
Therefore, the potential difference is approximately 9.0 volts. Hence, the correct answer is:
C. 9.0 volts