AIIMS Physics Mechanical Properties Of Fluids Class 11 Questions

Find the maximum tension in the spring if initially spring at its natural length when block is released from rest.

A container of height 10 cm is filled with water. There is a hole at bottom. Find the pressure difference between points A & B:

A gun applies a force $\text{F}$ on a bullet which is given by $\text{F} = \left(100 - 0.5 \times 10^5\text{t}\right)\text{N}$. The bullet emerges out with speed $400\text{ m/s}$. Then find out the impulse exerted till force on bullet becomes zero.

Initially spring is in natural length and both blocks are in rest condition. Then determine the maximum extension in spring. k = 20 N/M

Determine the pressure difference in tube of non-uniform cross sectional area as shown in figure. $\Delta\text{P} = \ ?$ $$d_1 = 5\text{ cm},\ \text{V}_1 = 4\text{ cm},\ d_2 = 2\text{ cm},\ \text{V}_2 = \ ?$$

A liquid enter at point $\text{A}_1$ with speed 3.5 m/s and leaves at point $\text{A}_2$. Then find out the height attained by the liquid above point $\text{A}_2$.

Assertion : Water drop stick to glass surface. Reason : Water has properties of surface tension.

If potential energy is given by $$U = \frac{a}{r^2} - \frac{b}{r}$$ Then find out maximum force. (Given $\text{a} = 2, \text{b} = 4$).

Three liquids of equal masses are taken in three identical cubical vessels $A$, $B$ and $C$. Their densities are $\rho_A, \rho_B$ and $\rho_C$. The force exerted by the liquid on the base of the cubical vessel is

Two springs of force constants $300\text{ N/m}$ (Spring A) and $400\text{ N/m}$ (Spring B) are joined together in series. The combination is compressed by $8.75\text{ cm}$. The ratio of energy stored in A and B is $$\frac{E_A}{E_B}$$ Then $$\frac{E_A}{E_B}$$

Assertion : A glass ball is dropped on concrete floor can easily get broken compared if it is dropped on wooden floor Reason : On concrete floor glass ball will take less time to come to rest

A hydraulic automobile lift is designed to lift cars with a maximum mass of 3000 kg. The area of cross section a of piston carrying the load is 425 cm². What is the maximum pressure would smaller piston have to bear?

Assertion : The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths. Reason : For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

Assertion : Water drops take spherical shape when falling freely. Reason : Water has minimum surface tension among all liquids.

Assertion : It is better to wash the clothes in hot soap solution. Reason : The surface tension of cold solution is more than the surface tension of hot solution.

Assertion : The velocity of a body at the bottom ofan inclined plane of given height, is more when it slides down the plane, compared to, when it rolling down the same plane. Reason : In rolling down, a body acquires both kinetic energy of translation and rotation.

Assertion : Even when orbit of a satellite is elliptical, its plane of rotation passes through the centre of earth. Reason : According to law of conservation of angular momentum, the plane of rotation of satellite always remains same.

Determine the height above the dashed line 'XX' attained by the water stream coming out through the hole is situated at point B in the diagram given below. Given that h= 10 m, l= 2 m and d = 30°.

A needle of length l m and mass m kg is placed horizontally on water surface having surface tension T. Find T in terms of m, l (g is acceleration due to gravity)

What will be the position of the centre of mass of a half disc as shown:

What is the direction of force on the wall due to the ball in two cases shown in the figures?

A horizontal force of $10\text{ N}$ is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is $0.2$. The weight of the block is

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of the mass $1\text{ kg}$ moves with a speed of $12\text{ m/s}$ and the second part of mass $2\text{ kg}$ moves with speed of $8\text{ m/s}$. If the third part flies off with speed $4\text{ m/s}$, then its mass is

A wide vessel with a small hole at the bottom is filled with water (density ρ₁, height h₁) and kerosene (density ρ₂, height h₂). Neglecting viscosity effects, the speed with which water flows out is:

A ring of radius R is kept on water surface. Surface tension of water is T and mass is m. What force required lifting the ring from water surface?

A ball of radius r and density ρ falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is η, the value of h is given by

A satellite orbiting a certain planet has an apogee $R_1$ and perigee equal to $R_2$, then find the minimum kinetic energy that should be given to the satellite to enable it to escape the planet.

Assertion: A satellite is orbiting around a planet then its angular momentum is conserved. Reason: Linear momentum conservation leads to angular momentum conservation.

Assertion: Surface tension of all lubricating oils and paints is kept high. Reason: Due to high value of surface tension the fluids get damaged.

Assertion : Viscous force is measurement of resistance of liquid. Reason : It converts kinetic energy into heat energy of liquid.

Assertion: When you lean behind over the hindlegs of the chair, the chair falls back after a certain angle. Reason:center of mass lying outside the system makes the system unstable.

Assertion (A) The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down. Reason (R) In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

Assertion: Bernoulli's theorem is applicable only on laminar flow Reason: Laminar flow is consider to be non viscous..

Assertion: Friction forces are conservative forces. Reason: Friction forces are unidirectional

Assertion: A small iron needle sinks in water while a large iron ship floats. Reason: The shape of iron needle is like a flat surface while the shape of ship is that which makes it easier to float.

A body of mass 60 kg is suspended by means of three strings P, Q and R as shown in the figure is in equilibrium. The tension in the string P is

A cylindrical tank is filled with water to level of 3 m. A hole is opened at height of 52.5 cm from bottom. The ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. The square of the speed with which water is coming out from the orifice is (Take g = 10 m s⁻²)

Assertion (A) The stream of water flowing at high speed from a garden hose, pipe tends to spread like a fountain when held vertically up but tends to narrow down when held vertically down. Reason (R) In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.

A spherical body of diameter D is falling in viscous medium. Its terminal velocity is proportional to

Assertion : Surface energy of an oil drop is same whether placed on glass or water surface. Reason : Surface energy is dependent only on the properties of oil.

Assertion: Turbulence is always dissipative. Reason: High reynold number promotes turbulence.

Water is flowing with velocity 4 m s⁻¹ in a cylinder of diameter 8 cm, it is connected to a pipe with it end tip of diameter 2 cm, calculate the velocity of water at this free end.

Pressure head in Bernoulli's equation is

Two spherical soap bubbles of radii a and b in vacuum coalesce under isothermal conditions. The resulting bubbles has a radius given by

A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is ω, then the difference in the heights of the liquid at the centre of the vessel and the edge is

A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of water in the capillary tube is 5 g. Another capillary tube of radius 2r is immersed in water. The mass of water that will rise in this tube is

Which of the following graph depicts spring constant \( k \) versus length \( l \) of the spring correctly?

Neglecting the viscosity of air, the terminal velocity obtained by a raindrop of radius 0.3 mm falling through air of viscosity 1.8 x 10⁻⁵ N s m⁻² will be

A thread is tied slightly loose to a wire frame as in figure and the frame is dropped into a soap solution and taken out. The frame is completely covered with the film. When the portion A is punctured with a pin, the thread

Assertion: A needle placed carefully on the surface of water may float, whereas a ball of the same material will always sink. Reason: The buoyancy of an object depends both on the material and shape of the object.