Question

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

• A. Half the present year
• B. One-eighth the present year
• C. One-fourth the present year
• D. One-sixth the present year

Answer 1

The correct option is B

One-eighth the present year

Since $T^2\propto r^3\therefore (\frac{T^{\prime }}{T}{)}^2=(\frac{1}{4}{)}^3\Rightarrow T^{\prime }=\frac{1}{8}T$