Step 1: Understanding the Question:
The relationship here is between a result (extreme destruction) and its cause (a natural or physical force).
Step 2: Detailed Explanation:
Analyzing the First Pair: "Annihilation" refers to the state of being completely destroyed or obliterated. "Fire" is a common cause of such absolute destruction. So, the relationship is "Effect (Absolute State) : Cause".
Analyzing the Third Word: "Cataclysm" refers to a large-scale and violent event in the natural world. It is synonymous with sudden upheaval or disaster that causes great suffering or damage.
Finding the Cause for Cataclysm: We need a specific natural force that typically causes a cataclysmic event.
Evaluating Earthquake: An earthquake is a quintessential cause of a cataclysm. It represents a sudden, violent upheaval of the earth's surface that results in massive devastation.
Evaluating Other Options:
- Steam: Generally associated with power or minor burns, not usually a 'cataclysm'.
- Emergency: This is a state of affairs, not a physical cause like fire.
- Disaster: This is a synonym for cataclysm, not a cause.
- Radiation: While it can cause annihilation (e.g., nuclear), it is not typically paired with the word 'cataclysm' in common linguistic usage as strongly as 'earthquake' or 'flood'.
Step 3: Final Answer:
Annihilation is often caused by fire, and a cataclysm is often caused by an earthquake. Thus, option (B) is correct.