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A metallic sphere floats in an immiscible mixture of water (pw = 103 kg/m3 ) and a liquid (p1= 13.5 x 103 kg/m3 ) such that its 15th portion is in water and portion is in liquid. Density of the metal is:

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a

4.5×103 kg/m3

b

4.0×103 kg/m3

c

3.5×103 kg/m3

d

1.9×103 kg/m3

answer is C.

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Detailed Solution

In floating condition,weight of sphere = upthrust due to water+upthrust due to liquidVρBg=4Vgρwg+V5ρLg ⇒ρB=4×1035×1+13.5×1035=3.5×103 kg/m3

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A metallic sphere floats in an immiscible mixture of water (pw = 103 kg/m3 ) and a liquid (p1= 13.5 x 103 kg/m3 ) such that its 15th portion is in water and portion is in liquid. Density of the metal is: