A Glass Beaker Having Mass 390 g and An Interior Volume Of 500 Cm3 floats On Water When It Is Less Than Half Filled With Water. What Is The Density Of The Material Of The Beaker?

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A glass beaker having mass 390 g and an interior volume of 500 cm3 floats on water when it is less than half filled with water. What is the density of the material of the beaker?


Correct option is

2.79 g/cc


As the beaker floats in water when less than half filled with water, it will float just fully submerged when half filled. In this situation, mass of beaker + mass of water in it                



i.e., outer volume of beaker  


Now as inner volume of beaker is given to be 500 cc, so the volume of the material of beaker = 640 – 500 = 140 cc. But as mass of beaker is 390 g, so density of material of beaker    


                     = 2.79 g/cc 



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