1. (a) Probably not. Private nuisance covers a wide variety of cases. It involves one person interfering with another person's recognised rights in their property - for example, the use or enjoyment of their land.
When people live close to others, the law cannot protect a person's use and enjoyment of their property from every sort of interference. Interference is only actionable as a nuisance if it is unreasonable and substantial - a greater interference than a plaintiff should be expected to put up with in the circumstances. In deciding this question, a court would take account of factors such as the type of interference; its timing, duration, seriousness and extent; and the nature of the locality where it occurs. For example, more traffic noise must be tolerated in industrial and urban areas, or during daylight hours or when it is caused by public transport, such as trains.
In A's case, because the area is industrial and the noise is the result of manufacturing activity, and because the noise is only audible during daylight hours, it is unlikely to be an actionable nuisance.