Final answer:
The pendulum with the greater charge, Pendulum A, will settle at a larger equilibrium angle than Pendulum B, making the correct answer θ₁ > θ₂. The difference in angles is due to the larger electrostatic repulsive force experienced by Pendulum A because of its higher charge.
Step-by-step explanation:
When considering two charged pendulums, Pendulum A and Pendulum B, both suspended from the same point and given a positive charge with Pendulum A having more charge than Pendulum B, the pendulums will diverge due to electrostatic repulsion and reach an equilibrium at different angles. The angle each pendulum makes with the vertical, θ₁ for Pendulum A and θ₂ for Pendulum B, depends on the balance of electrostatic repulsive force and the gravitational force acting on each pendulum's bob. Since Pendulum A has a higher charge, it will experience a greater repulsive force and thus will settle at a larger equilibrium angle compared to Pendulum B. Therefore, the correct answer is θ₁ > θ₂. The tension in both pendulums will adjust to counterbalance the net force on each bob due to gravity and electrostatic repulsion; this does not necessarily mean that the tension in Pendulum A is greater than that in Pendulum B, as the angles and the charges are different.