Question

Which of the following takes maximum time to complete one revolution around the sun?
A. Mercury
B. Jupiter
C. Saturn
D. Neptune

Answer 1

Hint: Revolution basically defines the movement and here we are talking about the revolution of planets around the sun along its orbit. The amount of time it takes for a single trip around the sun defines the period of revolution. On the basis of studies, the sun also rotates on its axis which is once in every $27days$.

Complete answer:
The revolution of any planet around the sun depends on the following factors:
-Radius of the orbit $R$
-Mass of sun $M$
-Gravitational constant $G$
As we all know Neptune is the farthest planet from the sun. Hence, Neptune will have a maximum radius of orbit. While mass and gravitational constant are the same for all the planets. Hence, we conclude that Neptune will take maximum time to complete one revolution around the sun.

Let us calculate the revolution of Jupiter by Kepler’s third law or law of harmonics. According to the law, the ratio of orbital period to orbital distance is one.
Mathematically, $1 = \dfrac{{{T^2}}}{{{R^3}}}$
Where $T$ is the orbital period and $R$ is the orbital distance.

Note: Newton realized that the reason the orbit of the sun is related to why objects fall to Earth when we drop them. The sun’s gravity pulls on the planets, just as Earth’s gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.And far planets experience less gravity as compared to the nearer planets.