Question

Two planets A and B have same density. The radius of A is twice that of B. The ratio of escape speeds VA: Vg is
O 2:1
02:1
O 1:2
o 1:2​

Answer 1

Answer:

2:1

Step-by-step explanation:

as, formula for escape velocity gives

u(escape velocity)=√2GM/R

the mass of planet A=density (p)×volume(4πR^3÷3)=

p×4π(2r)^3÷3 (as radius of planet A is twice of planet B,R=2r)=p×32πr^3÷3

mass of planet B=p×4πr^3÷3

ratio of escape velocity=√M/R÷√m/r=√M/R×√r/m

√p×32πr^3×r×3/p×4πr^3×3×2r=√4:1=2:1