Question

The radii of two planets are respectively R1 and R2 and
their densities are respectively p1 and p2. The ratio of
the accelerations due to gravity at their surfaces is......​

Answer 1

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​ divyanshuverma164

Secondary School Physics 8+4 pts

The radii of two planets are R and 2R respectively and their densities P and P/2 respectively. What is the ratio of acceleration due to gravity at their surfaces ?

Report by H6wKavanjamhasiv 16.12.2016

Answers

SharinkhanExpert

acc due to gravity at the surface of planet = g = (4/3) GRλp

Planet 1; R = R

p = P

so,

g1 = (4/3) GRλP

planet 2 ; R = 2R

p = P/2

so,

g2 = (4/3) G2RλP/2

or

g2 = (4/3) GRλP

thus g1 = g2

ratio will be 1:1