Planets A and B are uniform spheres made of the same material

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Planets A and B are uniform spheres made of the same material, so they have the same average density. Planet B’s radius is twice that of Planet A. Which of the following correctly states the ratio of their escape speeds vesc,B/vesc,Av_{\text{esc,B}}/v_{\text{esc,A}} ? (a) 2\sqrt{2} (b) 22 (c) 11 (d) 12\dfrac{1}{\sqrt{2}}

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