1.

Two solids P and Q float in water. It is observed that P floats with half of its volume immersed and Q floats with (2^(rd))/3 of its volume immersed. The ratio of densities of P andQ is:

Answer»

`4//3`
`3//4`
`2//3`
`3//2`

Solution :ACCORDING to law of floatation
wt. of body = wt of water displaced for body P.
`v_(p)p_(p).G=(V_(P))/2p_(w).grArrp_(P)=(p_(w))/2`
For body Q.
`V_(Q)p_(Q).g=2/3V_(Q).p_(w)grArrp_(Q)=2/3p_(w)`
`therefore(p_(P))/(p_(Q))=((p_(w))/2)(2/3p_(w))=3/4`
So CORRECT choice is (B).


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