The volume of a sealed packet is 1 litre and its mass is 800 g. The pa

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?

The packet will float in both water and liquid B.
The packet will sink in both water and liquid B.
The packet will sink in water but will float in liquid B.
The packet will float in water and sink in liquid B.
This question was previously asked in
UPSC NDA-2 – 2022
The correct option is A, stating that the packet will float in both water and liquid B.
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.
When an object floats, the buoyant force exerted by the fluid is equal to the weight of the object. The buoyant force is also equal to the weight of the fluid displaced by the object. If the object sinks, the buoyant force is less than the weight of the object. The proportion of the object submerged when floating is equal to the ratio of the object’s density to the fluid’s density. In water, 0.8/1 = 80% of the packet’s volume will be submerged. In liquid B, 0.8/1.5 ≈ 53.3% of the packet’s volume will be submerged.