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Question

A glass flask having mass 390 g and an interior volume of 500 cm3 floats completely inside water, when it is half filled with water. The density of the material of the flask is

A
0.8 g/cc
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B
2.8 g/cc
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C
1.8 g/cc
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D
0.8 g/cc
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Solution

The correct option is B 2.8 g/cc
According to Archimedes' principle,
mgg+mwg=FB
390×g+250×ρw×g=vρwg
Using ρw=1 g/cc, we get v=640 cm3
Volume of glass =640500=140 cm3
Density of material of flask ρ=390140
=2.8 g/cc

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