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The earth is moving on an elliptical pat...

The earth is moving on an elliptical path, whose one focus sun is situated as shown in figure. If `AS = r_(min)` and `SB = r_(max)`, the sun and earth system obey the Kepler's law, the square of time-period is directly proportional to

A

`(r_(min))^(3)`

B

`(r_(max))^(3)`

C

`((r_(min) + r_(max))/(2))^(3)`

D

`((r_(min)r_(max))/(r_(min) + r_(max)))^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`T^(2) prop ("semi-major axis")^(3)`
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