Final answer:
The change in potential energy of the system can be calculated using the formula ΔPE = qΔV, where ΔPE is the change in potential energy, q is the charge of the electron, and ΔV is the change in potential difference. In this case, the change in potential energy of the system is -50eV.
Step-by-step explanation:
The change in potential energy of the system can be calculated using the formula:
ΔPE = qΔV
where ΔPE is the change in potential energy, q is the charge of the electron, and ΔV is the change in potential difference.
In this case, the charge of the electron is e = -1.60 × 10-19 C and the change in potential difference is ΔV = -30 V - 20 V = -50 V.
Substituting these values into the formula, we get:
ΔPE = (-1.60 × 10-19 C)(-50 V) = 8.00 × 10-18 J = 8.00 × 10-18 eV
Therefore, the change in potential energy of the system is 8.00 × 10-18 eV, which is equivalent to -50eV (option A).