Find the ratio of radii of gyration about a diameter for a solid sphere and a thin hollow sphere of equal mass and radius.
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Question

Find the ratio of radii of gyration about a diameter for a solid sphere and a thin hollow sphere of equal mass and radius.

G1 Physics · Accepted Answer

Step 1: For a solid sphere, kₛ=R√(2/5). Step 2: For a thin spherical shell, kₕ=R√(2/3). Step 3: Hence kₛ:kₕ=√(3/5)=√3:√5. Final answer: C — √3:√5.