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Question

# A body of density d and volume V floats with volume V1 of it immersed in a liquid of density d1 and rest of the volume V2 immersed in another liquid of density d2(<d1) then V1 is

A
(dd2d1d2)V
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B
(d+d2d1+d2)V
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C
(d1d2dd2)V
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D
(d1+d2d+d2)V
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Solution

## The correct option is A (d−d2d1−d2)VAs the body is floating the weight of boy must be equal to weight water displaced,Vd=V1d1+V2d2 -------------(1)and V1+V2=V [given]⇒V2=(V−V1) -------------(2)Substituting (2) in (1),⇒Vd=V1d1+Vd2−V1d⇒V1(d1−d2)=Vd−Vd2⇒V1=V(d−d2)d1−d2=(d−d2d1−d2)V

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