The volume of a sealed packet is 1 litre and its mass is 800 g. The packet is first put inside water with density 1 g cm^-3 and then in another liquid B with density 1.5 g cm^-3. Then which one of the following statements holds true?
[amp_mcq option1=”The packet will float in both water and liquid B.” option2=”The packet will sink in both water and liquid B.” option3=”The packet will sink in water but will float in liquid B.” option4=”The packet will float in water and sink in liquid B.” correct=”option1″]
This question was previously asked in
UPSC NDA-2 – 2022
The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm³) and a mass of 800 g. Its density is mass/volume = 800 g / 1000 cm³ = 0.8 g/cm³. The density of water is 1 g/cm³. Since 0.8 g/cm³ < 1 g/cm³, the packet will float in water. The density of liquid B is 1.5 g/cm³. Since 0.8 g/cm³ < 1.5 g/cm³, the packet will also float in liquid B.