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A hollow sphere of negligible mass and radius R is completely filled with a gas so that its density is p. You now enlarge the sphere so its radius is 2R and completely fill it with the same gas. What is the density of the enlarged sphere?
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density = mass/volume
= mass /(4pi*r^3)

so,
density 2 /density 1 = volume1/volume 2
density 2 /density 1 = r1^3/r2^3
density 2/p = R^3/(2R)^3
density 2/p=1/8
density 2 =p/8

Ans: p/8
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