Question

certain subtance are placed beaker in given picture if the following item are placed in a water field breaker then state in what condition it remind
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Answer 1

It is given that when the beaker is half full, it will float, that means weight of water and beaker is supported by upthrust. Lets say V is total volume of water displaced in the sink.

Mass of water in half filled beaker =250cm

3

×1gm/cm

3

=250gm

So applying the law of floatation, we have

weight of water and beaker = weight of water displaced in the sink

⇒(

1000

390+250

)×9.8=V×1000×9.8

⇒V=640×10

−6

m

3

=640cm

3

So volume of solid mass of beaker =640cm

3

−500cm

3

=140cm

3

And we know the mass of the beaker =390gm

⇒Density of beaker =

140cm

3

390gm

=2.7857gm/cm

3

≈2.79gm/cm

3