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If the distance between the earth and th...

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

A

`64.5`

B

`129`

C

`182.5`

D

`730`

Text Solution

Verified by Experts

The correct Answer is:
B
According to Kepler's law,
`(T_(1)^(2))/(T_(2)^(2))=(R_(1)^(2))/(R_(2)^(2)), T_(1) =365` days, `T_(2)=?, R_(1)=R, R_(2)=R/2`
`implies T_(2)=T_(1)((R_(2))/(R_(1))^(3//2))=365[(R//2)/R]^(3//2)=129` days
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