A cube of mass m and density D is suspended form the point P by a spring of stiffness k…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

A cube of mass m and density D is suspended form the point P by a spring of stiffness k. The system is kept inside a beaker filled with a liquid of density d. The elongation in the spring, assuming D > d, is
  1. \(\frac{1 \mathrm{~m}}{\mathrm{k}}\left(1-\frac{\mathrm{d}}{\mathrm{D}}\right)\)
  2. \(\frac{1 \mathrm{~m}}{\mathrm{k}}\left(1-\frac{\mathrm{D}}{\mathrm{~d}}\right)\)
  3. \(\frac{1 \mathrm{~m}}{\mathrm{k}}\left(1+\frac{\mathrm{d}}{\mathrm{D}}\right)\)
  4. none of these

Answer

(A) 1 ~m k (1- d D )

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