Repeatedly checking to see if your stove is turned off is to compulsion as repeatedly thinking you might try to set your own house on fire is to obsession. So the correct option is (b).
Obsessions: Recurrent thoughts, visions, or urges that a person feels they have no control over. The individual does not wish to think these things. He or she typically recognizes their absurdity and finds them uncomfortable and undesired. They are accompanied with uneasy emotions of anxiety, contempt, and mistrust, as well as a sense that everything must be done "exactly perfectly." They consume a great deal of time and interfere with vital pursuits that the individual cherishes. Compulsion: Repetitive actions or ideas a person takes to squelch, combat, or eliminate their obsessions.
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