A solid sphere of radius r made of a soft 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, covering entire cross section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere,
, is:
As we learnt that
Bulk Modulus -
Ratio of normal stress to volumetric strain.
v = Original volume
= Change in volume
P = Increase in pressure
-ve(sign) shows volume decrease.
- wherein
Option 1)
This is incorrect
Option 2)
This is incorrect
Option 3)
This is incorrect
Option 4)
This is correct
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