Properties of Solids and Liquids (Weightage 5%)  

Share

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere,

, is:

A small soap bubble of radius 4 cm is trapped inside another bubble of radius
6 cm without any contact. Let  be the pressure inside the inner bubble and ,
the pressure outside the outer bubble. Radius of another bubble with pressure
difference  between its inside and outside would be :

thin uniform tube is bent into a circle of
radius r in the vertical plane. Equal
volumes of two immiscible liquids, whose
densities are  and , fill half the
circle. The angle θ between the radius
vector passing through the common
interface and the vertical is :