Question

The distances of two planets from the Sun are 10^13 m and 10^12 m respectively. Find the ratio of time periods of the two planets.​

Answer 1

Answer:

10× root of 10

Explanation:

According to Kepler's Third Law, the square of the period of the orbit of a planet about the Sun is proportional to the cube of the semi-major axis of the orbit.

T² is directly proportional to r³

Where T is the time period and r is the distance

This can be written as:

T1÷T2 = (r1÷r2)^3÷2

T1÷T2 = 10^13 ÷ 10^12

Therfore T1÷T2 = 10× root of 10