Question 1 :
Fill in the blank spaces by choosing the correct words from the options given below.<div>Pressure due to a liquid is -------------- of the area of cross-section of containing vessel.</div>

Question 2 :
If a capillary tube is tilted to $45^{\circ}$ and $60^{\circ}$ from the vertical then the ratio of length $l_{1}$ and $l_{2}$ of liquid columns in it will be -<span><br></span>

Question 4 :
A deep sea diver may hurt his ear drum during diving because of:

Question 5 :
Pressure (P) exented by liquid on walls of the container when h = height of the liquid column, f = density, g is acceleration due to gravity

Question 6 :
In cities water supply from an overhead tank to.the houses is done due to:

Question 7 :
<span>Fill in the blanks: </span><div>A liquid is incompressible which means that the density of the liquid is independent of the variations in _______ and is always remains_______. </div>

Question 8 :
The expression for the pressure at a point inside a liquid (Given liquid density $=\rho$, height of liquid column $h$ and acceleration due to gravity $=g$). <br/>

Question 10 :
<span>The smooth flow of a fluid through a tube is called</span>

Question 11 :
Water rises up to a height $h_1$ in a capillary tube of radius $r$. The mass of the water lifted in the capillary tube is $M$. If the radius of the capillary tube is doubled, the mass of water that will rise in the capillary tube will be <br/>

Question 13 :
The walls of hydroelectric dams are made _____ at the base

Question 14 :
When one end of the capillary is dipped in water, the height of water column is $'h'$. The upward force of $105$ dyne due to surface tension balanced by the force due to the weight of water column. The inner circumference of the capillary is<br>(Surface tension of water $= 7\times 10^{-2}N/m)$

Question 15 :
A 20 cm long capillary tube is dipped vertically in water and the liquid rises upto 10 cm. If the entire system is kept in a freely falling platform, the length of the water column in the tube will be

Question 16 :
A water bed is $2.00m$ on a side and $30.0cm$ deep. Find the pressure that the water bed exerts on the floor. Assume that the entire lower surface of the bed makes contact with the floor.<br/>Density of water, $\rho=1000kg/m^3;g=10m/s^2$.<br/>

Question 17 :
A vessel whose bottom has round holes with diameter of $1mm $ is filled with water. Assuming that surface tension acts only at holes, then the maximum height to which the water can be filled in vessel without leakage is<div>(Given surface tension of water is $75 \times 10 ^{-3} N/m$ and $g =10m / s^{2}$)</div>

Question 18 :
A capillary tube is dipped in water vertically.Water rises to a height of 10mm. The tube is now tilted and makes an angle 60$^{o}$ with vertical.Now water rises to a height of:

Question 21 :
In a uniform circular motion, the magnitude and direction of velocity at different points remain the same.

Question 23 :
Uniform circular motion is called continuously accelerated motion mainly because its :

Question 24 :
<div>State whether true or false.<br/></div>A particle rotating in a circular path may have constant speed but velocity changes continuously.

Question 25 :
A particles revolves along a circle with a uniform speed. The motion of the particle is ____ .

Question 29 :
A stationary wheel starts rotating about its own axis at uniform angular acceleration $ 8\ rad / s^{2}$ . The time taken by it to complete $77$ rotations is:<br/>

Question 30 :
Consider the following two statements A and B and identify the correct option:<br/>A) When a rigid body is rotating about its own axis at a given instant, all particles of body possess same angular velocity.<br/>B) When a rigid body is rotating about its own axis, the linear velocity of a particle is directly proportional to its perpendicular distance from axis.<br/>

Question 31 :
<span> A mass is attached to the end of a string of which is tied to a fixed point O. The mass is released from the initial horizontal position of the string. Below the point O at what minimum distance a peg P be should fixed so that the mass tums about P and can describe a complete circle in the vertical plane?</span>

Question 32 :
An object of mass $m$ moves with constant speed in a circular path of radius $R$ under the action of a force constatn magnitude $F$. The kinetic energy of object is

Question 33 :
A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first two seconds it rotates through angle $\theta_1$. In the next two seconds it rotates through angle $\theta_2$. What is the ratio $\theta_2 / \theta_1$?<br>

Question 34 :
When a body moves with a constant speed along a circle:

Question 35 :
Angle between velocity and acceleration vectors in the following cases are given below. Match the correct pairs.<br/><div><span> List I List II </span><table class="wysiwyg-table"><tbody><tr><td><span>a) Vertically projected<br/>body<br/></span></td><td>e) $90^{0}$</td></tr><tr><td><span>b) For freely dropped<br/>body<br/></span></td><td><span>f) changes from<br/>point to point<br/></span></td></tr><tr><td><span>c) For projectile<br/></span></td><td>g) zero</td></tr><tr><td><span>d) In uniform circular<br/>motion</span></td><td>h) $180^{0}$</td></tr></tbody></table></div>

Question 36 :
A disc rotates through 10 radians in 4 seconds. The disc experienced uniform acceleration. If the disc starts from rest, what is the angular velocity after four seconds?

Question 37 :
A pendulum is suspended from the roof of a rail road car. When the car is moving on a circular track the pendulum inclines.

Question 38 :
A disc rotating about its axis, from rest it acquires a angular speed $100rev/s$ in $4$ second. The angle rotated by it during these four seconds (in radian) is

Question 39 :
Assertion: To move a body uniformly in a circular path, an external agent has to apply a force. Reason: To more a body uniformly in a circular path, an external agent has to do work.

Question 40 :
A body $A$ is moving in a straight line with a constant speed of $10 {ms}^{-1}$. Another body $B$ having same mass as that of $A$ is moving in a circular path with a constant speed of $10 {ms}^{-1}$. The correct statement related to their acceleration is

Question 41 :
A uniform disc of mass $M$ and radius $R$ is mounted on an axle supported in frictionless bearings. A light cord is wrapped around the rim of the disc and a steady downward pull $T$ is exerted on the cord. The tangential acceleration of a point on the rim is

Question 42 :
A particle has initial velocity, $\displaystyle \vec{v}=3\hat{i}+4\hat{j}$ and a constant force $\displaystyle \vec{F}=4\hat{i}-3\hat{j}$ acts on it. The path of the particle can be:

Question 43 :
A wheel has moment of inertia $10^{-2} kg-m^2$ and is making 10 rps. The torque required to stop it in 5 secs is

Question 44 :
When a force $F_1$ acts on a particle, frequency $6$Hz and when a force $F_2$ acts, frequency is 8 Hz. What is the frequency when both the force act simultaneously in same direction?

Question 45 :
A pulley $1m$ in diameter rotating at $600 r.p.m.$ is brought to rest in $80\ s$. By constant force of friction on its shaft. How many revolutions does it moves?