If the distance between the earth and the sun were half its present value, the number of days in a year would have been

Options

A. `64.5`
B. `129`
C. `182.5`
D. `730`

Answer

B

Explanation

`T prop r^(3//2), T' prop (r//2)^(3//2)`
`(T')/T=(1/2)^(3//2)=1/(2sqrt(2))`
`T'=T/(2sqrt(2))=365/(2sqrt(2))=365/(2xx1.4)=365/2.8=130 days`