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Question

A solid sphere of radius  made of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. Amassless piston of area A floats on the surface of the liquid. When a mass M is placed on the pisten to compress the liquid, the fractional change in the radius of the sphere  fraction numerator delta R over denominator R end fraction is.....

  1. fraction numerator M g over denominator 3 K A end fraction
  2. fraction numerator M g over denominator K A end fraction
  3. fraction numerator M g over denominator 4 K A end fraction
  4. fraction numerator M g over denominator 2 K A end fraction

The correct answer is: fraction numerator M g over denominator 3 K A end fraction

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