A solid sphere of radius R, made up of a material of bulk modulus K is surrounded by a…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

A solid sphere of radius R, made up of a 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. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is
  1. \(\frac{\mathrm{Mg}}{\mathrm{AK}}\)
  2. \(\frac{\mathrm{Mg}}{3 \mathrm{AK}}\)
  3. \(\frac{3 \mathrm{Mg}}{\mathrm{AK}}\)
  4. \(\frac{\mathrm{Mg}}{2 \mathrm{AK}}\)

Answer

(B) Mg 3 AK

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