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the time period of earth is taken as T and its distance from sum as Rn. what will be the distance of a certain planet from sum whose time period is 64 times than that of earth?

the time period of earth is taken as T and its distance from sum as Rn. what will be the distance of a certain planet from sum whose time period is 64 times than that of earth?

Grade:11

3 Answers

Ashish Kumar
askIITians Faculty 32 Points
7 years ago
By keplers law T^2 is directly proportional to R^3. therefore,
(R/Rn)^3 = (64 T / T )^2
R = 16 Rn


169-1267_signature1.GIF
Pratibha Rani
39 Points
7 years ago
same as above
karunya
16 Points
2 years ago
T2 is directly proportional to R3 -------1
I taken R0 as an distance from the sun ------2
Divide both2 and 1
T2/64T=R3/R03
R03=64T×R3
R03=(4cube)3Ro3
R0=16
 

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