A vessel contains oil (density =0.8gm/cm2) over mercury (density =13.6gm/cm2). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of material of tire sphere in gm/cm3 is
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a
3.3
b
6.4
c
7.2
d
2.8
answer is C.
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Detailed Solution
Weight of the floating body= Weight of liquid displaced Vρg=(V/2)13⋅6g+(V/2)0⋅8g ρ=(13⋅6+0⋅8)/2=7⋅2