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

Answer: (B)

One-eighth the present year

Answer 2

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