Final answer:
In a parallel circuit, a light bulb will stay lit after a wire breaks only if the bulb is connected to an unbroken path, as there are multiple paths for the current to travel in a parallel circuit.
Step-by-step explanation:
If the wire in a parallel circuit breaks after the battery, whether the light bulb will stay lit depends on the specific configuration of the circuit. In a typical parallel circuit, there are multiple paths for the current to travel to reach the various components. If one path is broken but others remain intact, the current will still flow through the unbroken paths, allowing components on those paths to function normally. In such a case, the bulb may stay lit if it's connected on a path that remains unbroken. However, if the light bulb is on the same path as the break, then it will not light up because the break has interrupted the current flow to that bulb.