JEE Main | 2018Center of MassHard
Question
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 :
Options
A.
B.
C.
D.
Solution
[Bulk Modulus =
...(i)
volume of sphere V =
Fractional change in volume ...(ii)
U sing eq. (i) & (2)
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