Final answer:
The charge of the ion is -3.08×10-19 C.
Step-by-step explanation:
When an ion accelerates through a potential difference, its electric potential energy decreases. The electric potential energy change can be calculated using the formula ∆PE = qV, where ∆PE is the change in potential energy, q is the charge of the ion, and V is the potential difference. In this case, ∆PE = 6.02×10-16 J and V = -1950 V. Rearranging the formula, we can solve for q:
∆PE = qV
6.02×10-16 J = q(-1950 V)
q = 6.02×10-16 J / (-1950 V)
q = -3.08×10-19 C
The charge of the ion is -3.08×10-19 C.