1. When an object is completely or partially immersed in a liquid, the apparent reduction in its weight is equal to the weight of the fluid displaced by that object. This principle is known as Archimedes' principle [option B]. It states that the buoyant force exerted on an object submerged in a fluid iRead more

    When an object is completely or partially immersed in a liquid, the apparent reduction in its weight is equal to the weight of the fluid displaced by that object. This principle is known as Archimedes’ principle [option B]. It states that the buoyant force exerted on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. This principle, formulated by the ancient Greek mathematician and scientist Archimedes, is fundamental in understanding buoyancy and the behavior of objects in fluids. It explains why objects float or sink in a fluid and provides insights into designing ships, submarines, and other vessels to achieve proper buoyancy and stability. Archimedes’ principle is widely applied in various fields, including naval architecture, engineering, and fluid mechanics, where the interaction between objects and fluids is crucial.

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  2. Archimedes' law is related to the Law of flotation (option A). It states that when an object is partially or wholly submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle, formulated by the ancient Greek mathematician andRead more

    Archimedes’ law is related to the Law of flotation (option A). It states that when an object is partially or wholly submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle, formulated by the ancient Greek mathematician and scientist Archimedes, explains why objects float or sink in a fluid. It is fundamental in naval architecture, engineering, and various other fields where buoyancy plays a crucial role. The Law of flotation provides insights into designing ships, submarines, and other vessels to ensure they achieve proper buoyancy and stability. Understanding this principle also helps in predicting the behavior of submerged objects and determining their equilibrium positions in fluids, making it an essential concept in fluid mechanics and hydrodynamics. Therefore, Archimedes’ law is closely associated with the Law of flotation.

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  3. The iron needle sinks in water while the ship remains floating based on Archimedes' principle; option [B]. This principle states that the buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. The ship's shape allows it to displace a volumRead more

    The iron needle sinks in water while the ship remains floating based on Archimedes’ principle; option [B]. This principle states that the buoyant force exerted on an object immersed in a fluid is equal to the weight of the fluid displaced by the object. The ship’s shape allows it to displace a volume of water greater than its own weight, resulting in a net upward force that keeps it afloat. However, the density of iron is greater than that of water, causing the iron needle to displace less water than its own weight, resulting in a net downward force that causes it to sink. Therefore, it is Archimedes’ principle that explains why the ship floats while the iron needle sinks in water. Pascal’s principle relates to pressure in fluids, Kepler’s principle pertains to planetary motion, and the law of gravitation explains the attraction between masses.

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  4. The oil rises in the lamp wick due to capillary phenomenon; option [B]. The wick's fibers act as tiny tubes, creating capillary action. This action draws the oil upwards against gravity, allowing it to reach the flame, where it vaporizes and burns. This process sustains the lamp's flame by providingRead more

    The oil rises in the lamp wick due to capillary phenomenon; option [B]. The wick’s fibers act as tiny tubes, creating capillary action. This action draws the oil upwards against gravity, allowing it to reach the flame, where it vaporizes and burns. This process sustains the lamp’s flame by providing a continuous supply of fuel.

    While pressure difference and low viscosity of oil are factors influencing fluid movement, they are not the primary reasons for oil rising in the lamp wick. Similarly, the presence of carboxylic groups in the oil does not directly contribute to its capillary rise. Instead, it’s the capillary action resulting from the wick’s structure and the cohesive and adhesive forces between the oil and the wick fibers that enable the oil to travel upward, facilitating the lamp’s functionality.

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  5. When two capillaries of different diameters are immersed vertically in a liquid, the height of the rising liquid will be higher in the smaller diameter capillary; option [C]. This phenomenon is governed by the capillary action, which depends on the balance between cohesive forces within the liquid aRead more

    When two capillaries of different diameters are immersed vertically in a liquid, the height of the rising liquid will be higher in the smaller diameter capillary; option [C]. This phenomenon is governed by the capillary action, which depends on the balance between cohesive forces within the liquid and adhesive forces between the liquid and the capillary walls. In narrower capillaries, the cohesive forces dominate, leading to greater rise of the liquid. Conversely, in wider capillaries, the adhesive forces are less effective in pulling the liquid upward, resulting in a lower rise. Therefore, the height of the rising liquid differs between capillaries of different diameters, with the smaller diameter capillary exhibiting a greater rise due to stronger capillary action. This principle is essential in various fields, including biology, chemistry, and materials science, where capillary phenomena play a significant role in processes such as fluid transport, plant biology, and surface science.

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