Home
Class 11
PHYSICS
A vessel contains oil (density =13.6 gm/...

A vessel contains oil (density `=13.6 gm//cm^3`). A uniform sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of sphere in `gm//cm^3` is:

A

3.3

B

6.4

C

7.2

D

`12.8`

Text Solution

Verified by Experts

The correct Answer is:
C
weight =Buoyant force
`Vrho_(m)g=V/2 rho_(Hg) g+V/2 rho_(oil)`
`r_(m)=(rho_(Hg)+rho_(oil))/2=(13.6+0.8)/2=14.4/2=7.2`
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    RESONANCE|Exercise Examples|22 Videos

  • FLUID MECHANICS

    RESONANCE|Exercise Board Level Exercise|18 Videos

  • ELECTROSTATICS

    RESONANCE|Exercise Exercise|52 Videos

  • FULL TEST 1

    RESONANCE|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

A vessel contains oil (density =0.8gm//cm^3 ) over mercury (density =13.6gm cm^3 ). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in gm//cm^3 is

A vessel contains oil (density "=0.3g/cm^(3)) over mercury (density "=13.6g/cm^(3)). A homogenous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in "g/cm^(3)" is

Vessel contains oil (density 0.8 g//c c) over mercury (density 13.6 g//c c) A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the sphere in g/c c is

A vessel contains oil (density 0.9" g "c c^(-1) ) over mercury (density 13.6 g c c^(-1) ). A homogenous sphere floates with one-third of its volume immersed in mercury and the rest immersed in oil. The density of the material of the sphere in g c c^(-1) is-

A vessel contains (density d ) over mercury (density D ). A homogenous solid sphere floats with half of its volume in mercury and the other half in the oil . The density of the material of the sphere is

A vessel contains oil over mercury.A homogeneous sphere floats with half volume immersed in mercury and the other half in oil.If density of oil is 0.8g/(cm)^(3) and that of mercury is 13.6g/(cm)^(3) .What is the density of material of sphere.

Oil of density 0.5 g/cm ""^(3) is contained over mercury of density 13.6 g/cm ""^(3) in a vessel. A homogeneous body is floating with its half of volume immersed inside mercury and half inside oil. The density of homogeneous material will be

If an object floats in water such that half of its volume is immersed in it, then the density of the object is ___________ kg m^(-3) .

A hollow sphere of external and internal diameter 4 cm and 2 cm, respectively, floats in a liquid of density 3.5 g cm^(-3) . The level of the liquid coincides with the center of the sphere. Calculate the density of the material of the sphere.