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CBSE Class 9 Science Question 22 of 33

Gravitation — Question 22

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Question 22

The volume of a 500 g sealed packet is 350 cm3. Will the packet float or sink in water if the density of water is 1 g cm-3? What will be the mass of the water displaced by this packet?

Answer

Given,

Volume of sealed packet = 350 cm3

Mass of sealed packet = 500 g

Density of water = 1 gcm-3

Density of the sealed packet = ?

Density = MassVolume\dfrac{\text{Mass}}{\text{Volume}} = 500350\dfrac{500}{350} = 1.42 gcm-3

As density of the packet is greater than density of water. Hence, the sealed packet will sink.

According to Archimedes Principle,

Displaced water volume = Volume of packet

Volume of water displaced = 350 cm3

Mass of water displaced = ρ x V = 1 × 350 = 350 g

Hence, mass of displaced water = 350 g