The correct answer is: A. They emit light of a constant intensity.
Planets are much larger than stars and emit their own light. The light from a planet is not scattered by the Earth’s atmosphere in the same way as the light from a star, so planets do not twinkle.
Option B is incorrect because the distance of a planet from the Earth does change with time. Planets orbit the Sun, and the Earth orbits the Sun. This means that the distance between the Earth and a planet changes constantly.
Option C is incorrect because the intensity of light from a planet does not decrease with distance. The intensity of light from a star decreases with distance, but the intensity of light from a planet does not. This is because planets are much larger than stars and emit their own light.
Option D is incorrect because planets are not necessarily nearer to the Earth than stars. The distance between the Earth and a planet can be greater than the distance between the Earth and a star.