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Class XI Physics Mechanics of Fluids 1

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Question 1

A wooden object floats in water kept in a beaker. The object is near a side of the beaker see (figure). Let P₁, P₂, P₃ be the pressures at the three points A, B and C of the bottom as shown in the figure -

Question 2

Three liquids having densities ρ₁, ρ₂ and ρ₃ are filled in a U-tube. Length of each liquid column is equal to η. ρ₁ > ρ₂ > ρ₃ and liquids remain at rest (relative to the tube) in the position shown in figure. It is possible that–

Question 3

A metal cube is placed in an empty vessel. When water is filled in the vessel so that the cube is just immersed in the water, the force on the bottom of the vessel in contact with the cube

Question 4

A solid cone of height 25 cm and base diameter 25 cm floats in water with its vertex downwards such that 20 cm of its axis is immersed. The additional weight that must be placed at the centre of the base such that the cone now is completely immersed in water is-

Question 5

A cylindrical wooden body of height 3 m and mass 80 kg floats vertically in water. If its specific gravity is 0.80, the amount by which it gets depressed when a body of mass 10 kg is placed on its upper surface is -

Question 6

A body floats in a liquid contained in a beaker. The whole system as shown in figure falls freely under gravity. The up thrust on the body is –

Question 7

Water stands at a depth h behind the vertical face of a dam as shown. It exerts a resultant horizontal force (F) on the dam, which tends to slide it along its foundation and the torque (τ) is tending to overturn the dam about O. Find horizontal force.

Question 8

A slender homogeneous rod of length 2L floats partly immersed in water, being supported by a string fastened to one of its ends, as shown. The specific gravity of the rod is 0.75. The length of rod that extends out of water is –

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Jul 21JEE & BITSAT