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The mean distance of two planet a and b from the sun is 2 and 4 times the distance of earth from the sun respectively. Find the ratio of the time taken by the two planets to make one revolution around the sun.

The mean distance of two planet a and b from the sun is 2 and 4 times the distance of earth from the sun respectively. Find the ratio of the time taken by the two planets to make one revolution around the sun. 

Grade:9

2 Answers

Arun
25757 Points
4 years ago
 
As we know,
From kepler law,
T^2= k* r^3
 
Hence
(T1/T2)^2 = (r1/r2)^3
(T1/T2)^2  = (2r/4r)^3
T1/T2 = \sqrt(1/8)
T1/T2 = 1/2\sqrt2
Sayantan Garai
117 Points
4 years ago
From Kepler's law,
T²αR³
Hence,
(T1/T2)²=(R1/R2)³
=> T1/T2=√(1/2)³
                 =√(1/8)
=1 / 2√2
=√2 / 4
Hence answer is 1:2√2 or √2:4.

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