Accelerating Containers

Q. The position (x) of a particle depends on its velocity (v) and time (t) as given by the relation. x=Pv+(Q/P+t). Find the dimensions of PQ.

Q. A tank is filled with a liquid of density rho upto height H`the average pressure on the walls of the container

Q. A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (i) maximum at, and (ii) minimum at

1. B, C
2. B, A
3. B , D
4. C, D

Q. The closed container filled with water is moving with some acceleration as shown in the figure. Then $P_A-P_D$ is :-

1. $-4\times {10}^3{\text{N/m}}^2$
2. $+4\times {10}^3{\text{N/m}}^2$
3. $+5.6\times {10}^5{\text{N/m}}^2$
4. $-5.6\times {10}^4{\text{N/m}}^2$

Q. { A drum, placed on floor, is filled with a liquid of almost no viscost to a height }H . A small opening is made }}{ at a height }h from the base. The liquid jet strikes the floor at a distance }x from the wall of the drum, then }}{ maximum value of }x is

Q. If speed and density of a liquid coming out of a cylindrical pipe is increased to three times , then the forcw required to hold thr pipe becomes?

Q. A bucket contains water filled upto height 15 cm. The bucket is tied to a rope which passes over a frictionless light pulley and the other end of the rope is tied to a mass which is half of mass of (bucket+water) system. The gauge pressure at the bottom of the bucket is (g=10m/s^2) (1) 1 kPa (2) 3 kPa (3) 0.2 kPa (4) 5 kPa.

Q. When two tubes of different diameters are dipped vertically, the rise of liquid is

Q. A closed tube filled with water is rotating as shown in figure. The pressure difference $P_A-P_C$ is

1. $-6.1\times {10}^4{\text{N/m}}^2$
2. $-5.2\times {10}^4{\text{N/m}}^2$
3. $-7.2\times {10}^4{\text{N/m}}^2$
4. $-2.4\times {10}^4{\text{N/m}}^2$

Q. Find at what depth of a pond the total pressure will be 1.5 times of the atmospheric pressure.

Q. (C) 23%4.A candle of diameter d is floating on a liquid in a cylindricalcontainer of diameter D (D>>d) as shown in figure. If it isburning at the rate of 2cm/hour then the top of the candlewill\lbrack AIIMS 2005\rbrack6.L(a) Remain at the same height(b) Fall at the rate of 1 cm/hour(c) Fall at the rate of 2 cm/hourdkD(d) Go up the rate of 1 cm/hour

Q. a pump is used to pump a liquid of density ρ continously through a pipe of cross section area A . if liquid is flowing with speed V , then power of pump is

Q. 51. A jet of water travelling at a velocity of 30m/s hita a wall normally.Calculate the pressure on the wall if the water does not bounce back.(density of water=1000kg/m3)

Q.

A vessel containing water is given a constant acceleration a towards the right, along a straight horizontal path. Which of the following diagram represents the surface of the liquid

[IIT 1981]

1. A

2. B

3. C

4. D

Q. Swimming is based on Newtons ........ law.

1. first
2. third
3. second
4. gravitation

Q. I have a container that is 20cm tall and filled fully with water. The lift accelerates up at 10 $\text{m}/{\text{s}}^2$. What is the pressure difference between the top surface of the water and the bottom of the container(in pascal)? Take density of water as 1kg/lit.

1. $2\times {10}^4$
2. $8\times {10}^4$
3. $4\times {10}^4$
4. $16\times {10}^4$

Q. If area of cross-section of both the limbs are equal, find the difference in heights of the liquid in the two limbs when the system is given an acceleration of $2{\text{m/s}}^2$ in horizontal direction as shown in figure. Neglect the width of the limbs.

1. $15\text{cm}$
2. $18\text{cm}$
3. $20\text{cm}$
4. $10\text{cm}$

Q. Width of the base of the accelerated container shown in the figure is: [Assume $g=10{\text{m/s}}^2$]

1. $10\text{m}$
2. $5\text{m}$
3. $6\text{m}$
4. $8\text{m}$

Q. a cubical bolock is floating in a liquid with one fourthof its volume immersed in the liquid.if whole of volume immersed in the liquidaccelarates upward with acceleration g/4fraction of volume immersed in the liqui 1/4(4) 2/33/4

Q. A spherical ball of radius 0.05 m and density 0.5g/cc floats in water filled in a container accelerating vertically upwards with an acceleration of 4g m/s^2 .The fraction of volume of the ball immersed in the liquid will be\::

Q. A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration $a$ towards right as shown in figure. Then pressure is maximum and minimum (respectively) at:

1. $B$ and $D$
2. $C$ and $D$
3. $B$ and $C$
4. $B$ and $A$

Q. An open square tank of side $1m$ is completely filled with water. If the tank is moved with an acceleration of $10m{s}^2$, find the slope of the free surface of water with the horizontal and the quantity of water which will spill out of the tank.

1. $1,0.5{\text{m}}^3$
2. $2,0.5{\text{m}}^3$
3. $1,0.7{\text{m}}^3$
4. $3,0.7{\text{m}}^3$

Q. let take two sphere of equal radius. one is fully solid and other is hollow.in the hollow part of second sphere a 2g object is there. will the upthrust be same for both the spheres? will the volume of 2g object be also counted as outer volume of sphe

Q.

Q. The no of particles crossing a unit area perpendicular to x-axis in a unit time is given by N=-D n2-n1/x2-x1 where n1 n2 are no of particles pre unit time, x is the distance. Find the dimension of diffusion constant D

Q. The minimum horizontal acceleration (in ${\text{ms}}^{-2}$) of the container filled with water upto height of $2\text{m}$ as shown, so that the pressure at point $A$ of the container becomes atmospheric is (the tank is of sufficient height)

Q. The minimum horizontal acceleration (in ${\text{ms}}^{-2}$) of the container filled with water upto height of $2\text{m}$ as shown, so that the pressure at point $A$ of the container becomes atmospheric is (the tank is of sufficient height)

Q. The cylindrical tube of a spray pumphas radius R one end of which has n fine holes each of radius r if speed of the liquid in the tube is V the speed of the ejection of the liquid through the holes is

Q. Difference in height of the liquid columns in the limbs of a rotating $U-$ tube as shown in the figure is:
(Neglect the width of each limb and take $g=10{\text{m/s}}^2$)

1. $1\text{m}$
2. $0.8\text{m}$
3. $0.5\text{m}$
4. $0.6\text{m}$

Q. A closed tube filled with water is rotating about an axis as shown in figure. The pressure difference $P_A-P_C$ is

1. $-12\times {10}^3{\text{N/m}}^2$
2. $-24\times {10}^3{\text{N/m}}^2$
3. $6\times {10}^3{\text{N/m}}^2$
4. $20\times {10}^3{\text{N/m}}^2$

Q.

A vessel containing water is given a constant acceleration ‘a’ towards the right along a straight horizontal path. Which of the following diagrams in the figure represents the surface of the liquid?

1. 

2. 

3. 

4. None of the above