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If the earth is at one-fourth of its pre...

If the earth is at one-fourth of its present distance from the sun, the duration of the year will be

A

one-half the present year

B

one-fourth the present year

C

one-sidh the present year

D

one-eighth the present year

Text Solution

Verified by Experts

The correct Answer is:
D
By Kepler . law , `T^(2)propr^(3)`
`((T_(1))/(T_(2)))^(2)=((r_(1))/(r_(2)))^(3)=((1)/(4))^(3)=(1)/(64)=((1)/(8))^(2)`
`therefore(T_(1))/(T_(2))=(1)/(8)`
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