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

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

(a) 64.5

(b) 129

(c) 182.5

(d) 730

I have been asked this question by my college professor while I was bunking the class.

I'd like to ask this question from Gravitational Potential Field topic in portion Mechanical Properties of Solids of Engineering Physics I

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Best answer
The correct choice is (b) 129

Best explanation: According to Kepler’s law of periods

T^2 αR^3

(T2/T1)^2=(R2/R1)^3=((R1/2)/R1)^3=1/8

T1=1/(2√2)×T1=0.353×365days=129days.

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