Step 1: Understanding the Concept:
Recording (automatic) rain gauges continuously record precipitation data over time, unlike non-recording manual gauges.
Step 3: Detailed Explanation:
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Statement I evaluation: A tipping bucket rain gauge uses two balanced buckets. When one bucket fills with a calibrated depth (e.g., \(0.25 \text{ mm}\)), it tips, closing an electrical circuit. By recording the frequency of these tips, we directly obtain high-resolution rainfall intensity data. Thus, Statement I is correct.
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Statement II evaluation: A natural siphon-type (float-type) rain gauge collects water in a chamber containing a float. A pen attached to the float draws a continuous line on a moving chart drum. This line represents the cumulative rainfall depth over time, which is the definition of a rainfall mass curve. Thus, Statement II is correct.
Step 4: Final Answer:
Both Statement (I) and Statement (II) are correct.