Question

Two solids a and b float in water. it is observedthata floats with half its volume immersed and b floats with 2/3 of its volume immersed. find the ratios of densities of a and b

Answer 1

Let the mass for a be m1
and let the mass for b be m2
let a density be v1
and let b density be v2
ATQ,
a=m1/1/2v1
a=2m1/v1

b=m2/2/3v2
b=3m2/2v2

so the ratio of density of a 2:1
and the ratio of density of b is 3:2

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