Скачать или смотреть [JEE] Advanced Fluid Mechanics | Melting of Ice | Buoyancy | Pathfinder

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Together, we will dissect a carefully curated selection of challenging problems that have appeared in recent JEE examinations, allowing you to gain a thorough understanding of the Laws of Physics and how they are applied in real-world scenarios.

1. An object of volume 0.5m3 and density 500kg/m3 is glued to the flat bottom of a vessel containing water. The flat base of the object glued to the bottom has an area 100cm2 and density of water is 1.0g/cm3
. If the maximum force that the glue can withstand is 2000N, to what maximum height above the base can water be filled in the vessel so that the object is not torn apart from the base?

2. A piece of ice tied with the help of a thread to bottom of a cylindrical container having some amount of water. Length of the thread is so adjusted that the ice is not fully submerged. Tension force in the thread is 1.0 N. How much and in what way will the water level in the container shift, when all the ice melts? Area of the bottom of the vessel is 400 cm2, density of water is 1.0 g/cm3 and density of ice is 0.9 g/cm3

3.A semicircular glass tube filled with water containing an air bubble is sealed at its ends. If the tube is held with its plane vertical and made to move in its plane with a constant acceleration, the bubble stays aside of the highest point as shown in the figure. What can you conclude about acceleration vector of the tube?

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