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Q.

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

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a

One-sixth the present year

b

Half the present year

c

One-eighth the present year

d

One-fourth the present year

answer is B.

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Detailed Solution

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Since $T^{2} \propto r^{3} ∴ {(\frac{T^{'}}{T})}^{2} = {(\frac{1}{4})}^{3} \Rightarrow T^{'} = \frac{1}{8} T$

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