Question

Average distance of the earth from the sun is $L_1$. If one year of earth = D days, one year of another planet whose average distance from the sun is $L_2$ will be

• A. $D\left[\frac{L_{2}}{L_{1}}\right]^{1 / 2}$
• B. $D \left[\frac{ L _{2}}{ L _{1}}\right]^{3 / 2}$
• C. $\frac{ GM _{ p } m }{ L _{2}^{2}} \cdot D$
• D. $\frac{G M_{p} m}{L_{2}^{2}} \frac{D}{L_{1}}$

Answer 1

Answer: (B)

$T ^{2} \propto R ^{3}$
$T=D\left[\frac{L_{2}}{L_{1}}\right]^{3 / 2}$