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The distance of two planets from the Sun...

The distance of two planets from the Sun are `10^(13)and10^(12)` metres respectively. The ratio of time periods of these two planets is:

A

100

B

`(1)/(sqrt(10))`

C

`sqrt(10)`

D

`10sqrt(10)`

Text Solution

Verified by Experts

`(T_(1))/(T_(2)) = sqrt((R_(1)^(3))/(R_(2)^(3))) = sqrt((10^(13))^(3)/(10^(12))^(3)) = sqrt((10^(39))/(10^(36))) = 10sqrt(10)`
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