A sphere of radius R has a concentric cavity o{ radius r. The relative density of the material of the sphere is o. It just floats when placed in a tank full of water. The ratio R/r is
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a
[σ/(σ−1)]1/3
b
[(σ−1)/σ]1/3
c
[σ/(σ−1)]1/2
d
[(σ−1)/σ]1/2
answer is A.
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Detailed Solution
Volume of the sphere =43πR3−r3Now 43πR3−r3σ=43πR3×1or (R/r)=[σ/(σ−1)]1/3