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Properties of Matter question

2018 · Shift 0 · Q62
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Properties of Matter question

2018 · Shift 0 · Q62

JEE MainPhysicsProperties of MatterMCQ+4 / −1
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, (drr)\left( {{dr \over r}} \right)(rdr​) is:
  1. A
    mgKa{{mg} \over {Ka}}Kamg​
  2. B
    Kamg{{Ka} \over {mg}}mgKa​
  3. C
    Ka3mg{{Ka} \over {3mg}}3mgKa​
  4. D
    mg3Ka{{mg} \over {3Ka}}3Kamg​
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