Question

A solod sphere of radius r made of a material of bulk modulis k

Answer 1

Answer:

Hi

Here is your answer,

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 become in volume due to decrease in radius of sphere. 

Volume of the sphere, V = 4/3 πR³ 

Differentiating it, we get 

 

                     Δt = 4/3 π(3 R²)ΔR = 4πR² ΔR

 

∴                   ΔV/V = 4/3R² ΔR/4/3 πR³   = 3ΔR/ R 

 

   We know that, B = P/dV/V = Mg/A/3ΔR/R 

or,                     ΔR/R = Mg/3BA

Hope it helps you !