Two identical Solid pieces, one of gold and the other of silver, when immersed completely in water exhibit equal weights. When weighed in air (given that the density of gold is greater than that of silver).
(a) the gold piece will weigh more.
(b) the silver piece will weigh more.
(c) Both silver and gold pieces weigh equally.
(d) weighing will depend on their masses.
Explanation: When two Solid objects are fully immersed in a Fluid like water, the reading of their weight changes due to an upward force called buoyancy, which depends on the volume of Fluid displaced. If two objects have identical size and shape, they displace the same amount of water, so the upward force acting on both becomes identical in magnitude. However, when comparing their true weights in air, the actual Mass of each object becomes the deciding factor, which is influenced by density and volume. Since the materials differ in density, the relationship between Mass and volume becomes important in determining how heavy each object is in air. The comparison in such situations is based on how density affects Mass for identical volumes and how buoyant force interacts with that volume when submerged in a Fluid medium.
Option c – Both silver and gold pieces weigh equally
If ice floating on water in a vessel melts, the water level in the vessel …….
(a) increases
(b) does not change
(c) first increases before decreasing
(d) decreases
Explanation: When a Solid lighter than liquid floats, it displaces a certain amount of liquid equal in weight to itself. As melting occurs, the Solid turns into liquid form and contributes to the surrounding liquid in a different way. The key idea involves comparing the displaced liquid volume before and after the change of state. During this transformation, the relationship between displaced volume and resulting liquid volume plays a crucial role in understanding whether the surface level changes, remains stable, or varies temporarily. The phenomenon is governed by the principle of buoyancy and equilibrium between weight and displaced Fluid, which ensures balance in floating systems.
Option c – first increases before decreasing
According to ….., pressure is equal to the force divided by the area on which it acts.
(a) Pascal’s Law
(b) Hooke’s Law
(c) Stefan-Boltzmann Law
(d) Newton’s Law
Explanation: Pressure is a physical quantity that describes how a force is distributed over a given surface area. It becomes important when the same force acts on different-sized areas, producing different effects depending on how concentrated it is. The concept helps explain everyday phenomena such as why sharp objects penetrate more easily than blunt ones and why large surfaces experience less intense effects under the same force. The relationship between force and area shows that reducing the area increases the intensity of interaction, while increasing the area reduces it. This principle is widely used in Fluid mechanics, engineering design, and atmospheric studies to understand how forces behave when spread over surfaces. It also forms the basis for analyzing systems where fluids or gases exert influence on container walls or immersed bodies, making it a fundamental idea in classical mechanics and pressure-related calculations.
Option a – Pascal’s Law
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