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InterviewSolution
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(c) centre of mass15. The masses of two planets are in the ratio 1:2. Their radii are in the ratio 1:2. The acceleration dgravity on the planets are in the ratioThs(d)-5:3(c) 3:5odius of earth is1 s u |
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Answer» We know that the acceleration due to gravity can be described asg = GM/R^2Mass of the planets: M1 = density*volume = d*(4/3*pi*r1^3)M2 = d*(4/3*pi*r2^3)Now, g1 = 4(G*d*pi*r1^3)/(3r1^2) = 4/3*G*d*r1And g2 = 4(G*d*pi*r2^3)/(3r2^2) = 4/3*G*d*r2Now the ratio of acceleration due to gravityWe get, g1/g2 = 4/3*G*d*r1/4/3*G*d*r2 = r1/r2=1/2 hence, acceleration due to gravity on the planet are in the ratio of 1:2 option (a) |
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