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A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1) through a small hole on the side wall of the cylinder near its bottom, is
As per bernauli's equation p+(1/2)ρu2 is constant.
If we apply the bernauli's equaition at the top surface and at the bottom hole
A jar is filled with two non-mixing liquids 1 and 2 having densities respectively. A solid ball, made of a material of density , is dropped in the jar. It comes to equillibrium in the position shown in the figure.
Which of the following is true for
The density of ball should be greater than liquid 1 because it sinks in it.
Also density of ball should be less than density of liquid 2 as it floats on it.
A ball is made of a material of densityr where, representing the densities of oil and water, respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium positions?
As density of ball is more than that of oil, so, it remain sunk in the oil. Therefore option A and option D are wrong as ball is floating on the oil. Now for option B, as density of water is more than that of oil, so, it remains under the oil which is in case of option B.
Water is flowing continuously from a tap having an internal diameter 8 × 10-3m. The water velocity as it leaves the tap is 0.4 ms-1. The diameter of the water stream at a distance 2 × 10-1 m below the tap is close to
A uniform cylinder of length L and mass M having cross - sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of density s at equilibrium position. The extension x0 of the spring when it is in equilibrium is :
[JEE Main 2013]
where, k is spring constant, FB is force due to buoyancy which is equal to weight of liquid displaced.
FB= σ.L.A.g /2
kx0 + σ.L.A.g /2=Mg
x0=Mg-σ.L.A.g /2/k=Mg/k(1- σ.L.A/2M)