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Q.

Two cubical blocks identical in dimension float in water in such a way that 1st block floats with half part immersed in water and second block floats with 34th  of its volume inside the water the ratio of densities of blocks is

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a

2:3

b

3:4

c

1:3

d

1:4

answer is A.

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Detailed Solution

Given Weight of block in water =Weight of block in airv2ρ2g=v1ρ1g (∵w=mg∵m=ρv) Given v2=34v  , v1=12v  ⇒34v×ρ2×g=12v×ρ1×g ⇒ρ2ρ1=23
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