A solid sphere of radius R made of a material of bulk modules B is surrounded by a liquid in a cylindrical container. A massless area A floats on the surface of the liquid . When a mas M is placed on the piston to compress the liquid, find fractional change in the radius of the sphere
@Lakhan
When mass M is placed on the piston, the excess pressure , P = Mg/A. As this pressure is equally applicable from all the direction on the sphere , hence there will be decrease in volume due to decrease in radius of sphere.
Volume of the sphere,
Differentiating it , we get
∴ ΔV/V = 3ΔR/ R
We know that,
or, ΔR/R = Mg/3BA