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Physics · 2018

JEE Main 2018 · 2018-04-08 Offline · Q9

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 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, $\displaystyle \left(\frac{\mathrm{dr}}{\mathrm{r}}\right)$, is :
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JEE Main 2018 Physics question, with the answer from NTA’s final answer key. Where our answers come from.