Pascal's Law

Q. if the buoyant force on an object depends on its volume V immersed in a liquid and the acceleration due to gravity g .The correct expression for F can be

Q.

Pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and the walls of the containing vessel. This law was first formulated by

1. Archimedes

2. Bernoulli

3. Boyle

4. Pascal

Q.

Pressure in liquids is transmitted equally in all directions. This is stated by

1. Archimedes principle

2. Newtons law

3. Gravitational law

4. Pascal s law

Q. work done in extending a spring by Io is wo. work done in further extension Io is

Q.

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially the pressure of the gas is $P_0$ and temperature is $T_0$, atmospheric pressure is also $P_0$. Now the temperature of the gas is increased to 2$T_0$, the tension in the wire will be

1. 

2. 

3. 

4. 

Q.

Which of the following devices in not based on Pascal's law?

1. syringe

2. hydraulic lift

3. hydraulic brakes

4. Atomiser

Q. if delta is the depression produced in a beam of length L, breadth b and thickness d, when a load is placed at the midpoint the

Q. A uniform rod is rotated with some angular velocityin horizontal plane about a vertical axis passingthrough one end A. Then select incorrect option.BA(1) Tension at A is maximum(2) Tension at B is zero(3) Tension at all points is same(4) All points on the rod have same angular spee

Q. 16.A uniform elastic string has a length when tension is and length when tension is the amount of work done in stretching It from its natural length ito a length(a1+a2) is:

Q.

Find the density when a liquid 5 m high in a column exerts a pressure of 80 Pa

1. 0.625 kg/m³

2. 625 kg/m³

3. 1.6 kg/m³

4. 2.625 kg/m³

Q. A stone weighs 5 N in air and 4 N when fullyimmersed in water.what i The magnitude of buoyant force onthe stone is

Q. The area of cross-section of the wider tube shown in figure is $800{\text{cm}}^2$. If a mass of $12\text{kg}$ is placed on the massless piston, the difference in heights in the level of water in the two tubes is:

1. $10\text{cm}$
2. $6\text{cm}$
3. $15\text{cm}$
4. $2\text{cm}$

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

Q. a cylinder of radius R is filled with water upto a height H so that on the wall is equal to that at the bottom. the height H and R are related as how to find thrust on walls of contain

Q. A uniformly tapering vessel is filled with a liquid of density $900{\text{kg/m}}^3$. The force that acts on the base of the vessel due to the liquid (excluding atmospheric force) is : [Take $g=10{\text{m/s}}^2$]

1. $3.6\text{N}$
2. $7.2\text{N}$
3. $9.0\text{N}$
4. $12.6\text{N}$

Q. If pressure at half depth of a lake is equal to $\frac{2}{3}rd$ pressure at the bottom of the lake, then what is the depth of the lake?
(Take atmospheric pressure as ${10}^5\text{Pa}$, density of water as $1000{\text{kg/m}}^3$ and $g=10{\text{m/s}}^2$)

1. $6.67\text{m}$
2. $60\text{m}$
3. $10\text{m}$
4. $20\text{m}$

Q. the excess pressure inside a spherical drop of water is four times that of another drop. then their respective mass ratio is

Q.

If the flow of water in the tank stops, what will be the depth of water in the tank. Assume that the level of oil outside the tank does not increase.

1. 30 cm

2. 2 cm

3. None of these

4. 10 cm

Q. identical springs of Steel and copper are stretched by equal force then more work is done in stretching copper spring or steel spring

Q. if 1/nth part of the chain is hanging at the edge of a table then work done against gravity to pull the hanging part oo the table is

Q. Is the damping force constant on a system executing SHM? Explain.

Q. When 4 kg of this solid is immersed in water, the buoyant force experienced by it is (given g =9.8 ms^- ) (A) 4.5g (B) 4g (C) 5g (D) 10g

Q. 1. All central forces are conservative and central forces are functions of position only 2. all conservative forces are functions of position only. (a) both statements are true (b) both statements are wrong (c) first is true second wrong (d) first is wrong second is true

Q. what is buoyancy and buoyant force ?

Q. A student took solid bodies of different shapes, sizes and materials and noted down the apparent loss in weight on partially or fully immersing the bodies in different liquids. Based on the observations, he wrote the following conclusions. Which statement is incorrect and why? a) Upthrust depends on the volume of the body immersed and density of the liquid b) Upthrust increases as the body goes deeper inside the liquid c) Upthrust depends on the acceleration due to gravity and density of the liquid d) Upthrust does not depend on the shape of the vessel in which the liquid is filled

Q. A piston of cross-sectional area $100{\text{cm}}^2$ is used in a hydraulic pump to exert a force of ${10}^7\text{dyne}$ on the water. The cross-sectional area of the other piston which supports a truck of mass $2000\text{kg}$ is

1. $9.8\times {10}^2{\text{cm}}^2$
2. $9.8\times {10}^3{\text{cm}}^2$
3. $1.96\times {10}^3{\text{cm}}^2$
4. $1.96\times {10}^4{\text{cm}}^2$

Q. A rod of length l is pivoted at one end and is rotated with a uniform angular velocity in a horizontal plane .the value of x for point p where tension is 1/4th of the tension at 0

Q. A tube $1{\text{cm}}^2$ in cross section is attached to the top of a vessel $1\text{cm}$ high and of cross section $100{\text{cm}}^2$. Water is poured into the system filling it upto a height of $100\text{cm}$ above the bottom of the vessel as shown in the figure. Take $g=10{\text{m/s}}^2$. Find the correct statement. Take atmospheric pressure $P_0={10}^5\text{bar}$.

1. The force exerted by the water against the bottom of the vessel is $1100\text{N}$.
2. The weight of water in the system is $1.99\text{N}$.
3. Both (a) and (b) are correct.
4. Neither (a) nor (b) is correct.

Q. 26.Two springs A and B are streched by applying forces of equal magnitude at the four ends . If the energy stored in A is E in B is

Q. A beaker of circular cross-section of radius $5\text{cm}$ is filled with mercury upto a height of $15\text{cm}$. Find the force exerted by the mercury on the bottom of the beaker. Take atmospheric pressure $={10}^5{\text{N/m}}^2$, density of mercury $=13600{\text{kg/m}}^3$, and $g=10{\text{m/s}}^2$.

1. $9425\text{N}$
2. $942.5\text{N}$
3. $94.25\text{N}$
4. $785.4\text{N}$