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What would be the average duration of ye...

What would be the average duration of year if the distance between the Sun and the Earth becomes twice the present distance.

Text Solution

Verified by Experts

If `r_2 = 2r_1`
`(T_2^2)/(T_1^2) = (r_2^3)/(r_1^3)`
`(T_2^2)/(T_1^2) = ((2r_1)/(r_1))^(3//2)`
` therefore T_2/T_1 = sqrt8`
` T_2 = T_1 sqrt8`
`= 365 sqrt8`
= 1032 days.
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