Two planets A and B are at distances of `10^(9)` m and `10^(11) m` from the sun respectively. Calculate the ration of speeds of the two planets.

Explanation

To solve the problem of finding the ratio of speeds of two planets A and B at distances \(10^9\) m and \(10^{11}\) m from the sun, we can use Kepler's Third Law of planetary motion. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand Kepler's Third Law
Kepler's Third Law states that the square of the time period \(T\) of a planet is directly proportional to the cube of the semi-major axis \(s\) of its orbit:
\[ T^2 \propto s^3 \]
For circular orbits, the semi-major axis \(s\) is equivalent to the radius \(R\) of the orbit.
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