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Q.

A vessel contains oil (density= 0.8gm/cm3) over mercury (density =13.6gm/cm3). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere in gm/cm3 is 

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a

3.3

b

6.4

c

7.2

d

12.8

answer is C.

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Detailed Solution

Weight of sphere =43πR3pg________(1)

Upthrust due to oil and mercury =23πR3×ρoilg+23πR3ρHgg_____(2)

By equating (1) and (2) to get ρ = 7.2

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