The correct option is A Bulb's filament is broken.
If an electric bulb does not glow even when it is connected to the cell, it could be due to one of the following reasons:
1. The bulb is fused. The part of a bulb that completes the circuit is its filament. A bulb that has a broken filament is termed as a 'fused bulb'.
2. Circuit may be broken. This may be because switch is off, a blown fuse, burnt wires, etc.
3. Connecting wires are made of an insulator. Usually copper, being a good conductor, is used to make connecting wires.
So, the circuit was not complete and hence the bulb did not glow.