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Q.

A glass beaker of mass 400 g floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm3. What is the density of the material of the beaker?

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a

1.52 g cm-3

b

2.67 g cm-3

c

3.01 g cm-3

d

3.87 g cm-3

answer is B.

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Detailed Solution

Mass of water in the beaker = 250 ×1 = 250 gMass of beaker + Mass of water  = 400 + 250 = 650gSo volume of water displaced = 650 cm3As the inner volume = 500 cm3So volume of the material of beaker = 650 - 500 = 150 cm3∴  Density = 400150 = 2.67 g/cm3
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A glass beaker of mass 400 g floats in water with the open end just touching the surface of water and half of the beaker filled with water. The inner volume of the beaker is 500 cm3. What is the density of the material of the beaker?