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The distance of Neptune and Saturn from ...

The distance of Neptune and Saturn from sun are nearly `10^(12) and 10^(12)` meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio

A

`sqrt(10)`

B

100

C

`10 sqrt(10)`

D

`1 // sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
Kepler.s third law `T^(2) prop R^(2) :. (T_("Neptune"))/( T_("Saturn")) = ((R_("Neptune"))/(R_("Saturn"))) ^(3//2) = ((10^(13))/(10^(12)))^(3//2) = 10 sqrt(10)`
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