Properties of Matter 1 Question 8
8. A solid sphere of radius made of a soft material of bulk modulus is surrounded by a liquid in a cylindrical container. A massless piston of area floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, is
(a)
(b)
(c)
(d)
(2018 Main)
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Answer:
Correct Answer: 8. (d)
Solution:
Bulk modulus,
Here,
and