Average distance of the earth from the sun is L1. If one year of earth = D days, one year of another planet whose average distance from the sun is L2 will be

Question

Average distance of the earth from the sun is L1. If one year of earth = D days, one year of another planet whose average distance from the sun is L2 will be (A) D[(L2/L1)]1 / 2 (B) D [( L 2/ L 1)]3 / 2 (C) ( GM p m / L 22) ⋅ D (D) (G Mp m/L22) (D/L1)

Tardigrade Admin · Accepted Answer

T 2 propto R 3 T=D[(L2/L1)]3 / 2

Q. 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

$D [\frac{L _{2}}{L _{1}}]^{1/2}$

$D [\frac{L _{2}}{L _{1}}]^{3/2}$

$\frac{G M _{p} m}{L _{2}^{2}} \cdot D$

$\frac{G M _{p} m}{L _{2}^{2}} \frac{D}{L _{1}}$

$T^{2} \propto R^{3}$
$T = D [\frac{L _{2}}{L _{1}}]^{3/2}$

Q. Average distance of the earth from the sun is L1​. If one year of earth = D days, one year of another planet whose average distance from the sun is L2​ will be

D[L1​L2​​]1/2

D[L1​L2​​]3/2

L22​GMp​m​⋅D

L22​GMp​m​L1​D​