The distance of neptune and saturn from the sun is nearly 1013 and 1012 meter respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio
Practice this Gravitation question from Engineering Entrance Exam.
Question Details
Physics
Gravitation
Engineering Entrance Exam
Question
The distance of neptune and saturn from the sun is nearly 1013 and 1012 meter respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio
Solution
\({T^2} \propto {R^3}\) (According to Kepler’s law)
\(\therefore \frac{{{T_1}^2}}{{{T_2}^2}} = {\left( {\frac{{{{10}^{13}}}}{{{{10}^{12}}}}} \right)^3}\) or \(\frac{{{T_1}}}{{{T_2}}} = 10\sqrt {10} \)