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 \text{ g cm}^{-3} and then in another liquid B with density 1.5 \text{ g cm}^{-3}. Then which one of the following statements holds true?
- A. The packet will float in both water and liquid B. ✓
- B. The packet will sink in both water and liquid B.
- C. The packet will sink in water but will float in liquid B.
- D. The packet will float in water and sink in liquid B.
Correct Answer: A. The packet will float in both water and liquid B.
Explanation
Density of the packet \rho = \frac{\text{mass}}{\text{volume}} = \frac{800 \text{ g}}{1000 \text{ cm}^{3}} = 0.8 \text{ g cm}^{-3}. Since 0.8 \lt 1 and 0.8 \lt 1.5, it will float in both liquids.
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