The cycle of the moon through its phases or the synodic month

of 29.5 Days

Explanation:

As the Moon goes around the Earth, it shows different shapes as seen from the Earth which are called phases. These phases repeat in a particular interval of time which is called as Synodic month. It is basically the period between two consecutive Full Moons or New Moons. Synodic month for the Moon is 29.5 Earth days.

Sidereal Month for the Moon differs from synodic month. Sidereal month is the orbital period of the Moon around the Earth relative to fixed stars at infinity. This period is of 27.3 days.

the first, second, and fifth options