Question

Earth is revolving around the Sun. If the distance of the Earth from the Sun is reduced to $\frac{1}{4}$th of the present distance, then the present length of the day is reduced by

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $\frac{1}{8}$
• D. $\frac{1}{6}$

Answer 1

The correct option is C $\frac{1}{8}$

Using the relationship
$T^2\propto r^3$
we get
$\frac{T_1}{T_2}={\left(\frac{r/4}{r}\right)}^{3/2}=\frac{1}{8}$