Three planets of same density and with radii R1,R2 and R3, such that R1=2R2=3R3, have gravitation fields on the surfaces E1,E2,E3 and escape velocities v1,v2,v3 respectively, Then
E=GMR2=G(43πR3ρ)R2
⇒E∝R
⇒E1E2=R1R2=2
⇒(A) is not true
E1E3=R1R3=3
⇒(B) is true
v=√gR⇒vαR
v1v2=R1R2=2
⇒(C) is true
v1v3=R1R3=3
⇒(D) is not true