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Option 1 states that the moon is not rotating about its own axis. This is incorrect because the moon does rotate on its axis, just at a rate that matches its orbital period around the Earth.
Option 2 states that the moon`s rotation and revolution are opposite. While this is true in a sense that the moon does rotate on its axis in the opposite direction of its revolution around the Earth, it does not explain why the moon always shows the same face to the Earth.
Option 3, which is the correct answer, states that the periods of rotation and revolution of the moon are the same. This means that it takes the same amount of time for the moon to rotate once on its axis as it does for it to complete one orbit around the Earth, resulting in the same face always facing Earth.
Option 4 states that the moon`s rotation is faster than its revolution. This is incorrect. The moon`s rotation period and its revolution period are the same, so neither is faster than the other.
In conclusion, the correct answer is option 3, as it accurately explains why the moon always shows the same face to the Earth.