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  • A solid sphere of radius  made of material of buck modulus <img alt="K" src="https://entrancecorner.oncodecogs.com/g

A solid sphere of radius R made of material of buck modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid when a mass m is placed on the piston to compress the liquid, the fractional change in the radius of the sphere \frac{\Delta R}{R} is _____
 

Option: 1

\frac{m g}{A K}


Option: 2

\frac{m g}{3 A K}


Option: 3

\frac{m g}{A}


Option: 4

\frac{3 m g}{A K}


Answers (1)

best_answer

\Delta P=\frac{m g}{A}

Volumetric strain is

\begin{aligned} \frac{\Delta V}{V}&=\frac{\Delta P}{K} \\ 3 \frac{\Delta R}{R}&=\frac{m g / A}{K} \\ \frac{\Delta R}{R}&=\frac{m g}{3 K A} \end{aligned}
 

Posted by

Rishi

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