The correct option is (c).
Explanation
The changing visibility of the Moon is determined by its position relative to the Earth and the Sun. This cycle of phases, known as the lunar month or synodic month, lasts approximately 29.5 days.Statement-wise Analysis:
- Statement 1 is Correct: The Full Moon (Purnima) occurs when the Earth is positioned between the Sun and the Moon, allowing the entire illuminated side of the Moon to be visible from Earth. This phenomenon occurs once in a lunar cycle, which is roughly one month.
- Statement 2 is Incorrect: A fortnight represents a period of approximately 14 to 15 days. A fortnight after the Full Moon, the Moon completes half of its cycle and reaches the New Moon phase (Amavasya), where it is not visible from Earth. It does not appear as a Full Moon again until the cycle completes (approx. 29.5 days).
- Statement 3 is Correct: On a New Moon night, the Moon is not visible in the sky, resulting in the absence of moonlight. This lack of natural light pollution makes it the optimal time to observe stars and other celestial objects, provided the sky is clear.
Key Takeaway: The lunar cycle transitions from Full Moon to New Moon over a fortnight; the absence of moonlight during the New Moon provides the darkest background for astronomical observations.