Final answer:
The 1927 film where Maria and her robot twin are chased by mobs is 'Metropolis,' a groundbreaking German science-fiction movie that explores themes of class struggle and technology in a dystopian future.
Step-by-step explanation:
The movie you are referring to is Metropolis, a 1927 German expressionist science-fiction film directed by Fritz Lang. This iconic film features Maria and her robot twin, known as the Maschinenmensch, and takes place in a futuristic dystopian city where the stark divide between the working class and the city planners leads to chaos. As disaster unfolds, Maria and her mechanical doppelgänger are indeed chased by enraged mobs, culminating in a dramatic finale that highlights the film's underlying social commentary on class struggle and the human condition in the industrial, technologically advanced future.