question_answer

If the radius of Earth's orbit is made\[\text{1}/{{\text{4}}^{\text{th}}}\], then duration of a year will become (a) 8 times                           (b) 4 times (c) 1/8 times                       (d) 1/4 times

Answer:

\[{{T}_{2}}={{T}_{1}}{{\left( \frac{{{r}_{2}}}{{{r}_{1}}} \right)}^{3/2}}={{T}_{1}}{{\left( \frac{1}{4} \right)}^{3/2}}=\frac{1}{8}\]times