Marks 1
For a floating body, buoyant force acts at the
For a completely submerged body with centre of gravity $$‘G’$$ and centre of buoyancy $$‘B’,$$ the condition of stability will be
For a completely submerged body with center of gravity $$'G'$$ and center of buoyancy $$'B',$$ the condition of stability will be
For the stability of a floating body, under the influence of gravity alone, which of
the following is TRUE?
A cylindrical body of cross - sectional area A, height $$H$$ and density $${\rho _s},$$ is immersed to a depth $$h$$ in a liquid of density $$\rho ,$$...
A static fluid can have
A mercury manometer is used to measure the static pressure at a point in a water pipe as shown in Fig. The level difference of mercury in the two limb...
Bodies in floatation to be in stable equilibrium the necessary and sufficient condition is that the center of gravity is located below the ___________...
Shown below are three cylindrical gates which restrain water in $$2$$-$$D$$ channel. Which gate experiences the maximum vertical component, the minimu...
Marks 2
For the stability of a floating body the
The large vessel shown in the figure contains oil and water. A body is submerged at the interface of oil and water such that $$45$$ percent of its vol...
Consider a frictionless, massless and leak-proof plug blocking a rectangular hole of dimensions $$2R \times L$$ at the bottom of an open tank as show...
An inverted U-tube manometer is used to measure the pressure difference between two pipes $$A$$ and $$B,$$ as shown in the figure. Pipe $$A$$ is carry...
A spherical balloon with a diameter of $$10m,$$ shown in the figure below is used for advertisements. The balloon is filled with helium $$\left( {{R_{...
A hinged gate of length $$5$$ $$m,$$ inclined at $${30^ \circ }$$ with the horizontal and with water mass on its left, is shown in the figure below. D...
A two dimensional fluid element rotates like a rigid body. At a point with in the element, the pressure is $$1$$ unit. Radius of the Mohr's circle, ch...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system shown pressures of $${P_{G1}} = 5.00$$ bar and $${P_{G2}} = 1.00$$ bar. The value ...
The pressure gauges $${G_1}$$ and $${G_2}$$ installed on the system show pressures of $${P_{G1}} = 5.00$$ bar and $${P_{G2}} = 1.00$$ bar. The value o...
The horizontal and vertical hydrostatic forces $${F_x}$$ and $${F_y}$$ on the semi-circular gate, having a width $$'w'$$ into the plane of figure, are...
In given figure, if the pressure of gas in bulb $$A$$ is $$50$$ $$cm$$ $$Hg$$ vacuum and $${P_{atm}} = 76\,cm\,Hg,$$ then height of column $$H$$ is eq...
Refer to figure, the absolute pressure of gas $$A$$ in the bulb is
...
The force $$F$$ needed to support the liquid of density $$d$$ and the vessel on top (fig) is
...
The cross-sectional area of one limb of a U-tube manometer [ Figure shown below ] is made $$500$$ time larger than the other, so that the pressure di...
A circular plate $$1$$ $$m$$ in diameter is submerged vertically in water such that its upper edge is $$8m$$ below the free surface of water. The tota...
Marks 5
A cylinder of mass $$10$$ kg and area of cross-section $$0.1$$ $${m^2}$$ is tied down with string in a vessel containing two liquids as shown in Figur...