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The distance of two planets from the sun are 10¹³ and 10¹² meters respectively. The ratio of time periods of these two planets is

1. 1/√10
2. 100
3. 10√10
4. √10

Correct answer: √10

Solution

Using Kepler's third law, the square of the time period is proportional to the cube of the distance from the sun. Taking the ratio of the time periods and simplifying, we get the ratio as √10.

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