Question 1 :
In the case of uniform circular motion, which one of the following physical quantities does not remain constant?<br>

Question 2 :
Circular Motion can be an example of periodic motion. <div>State whether the given statement is True or False.</div>

Question 4 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in the plane. It follows that

Question 7 :
(1) : In uniform circular motion the kinetic energy of the body is constant.<br/> (2) : In uniform circular motion the tangential force is zero.<br/>

Question 8 :
Which of the following quantities may remain constant during the motion of an object in a circular path?<br/>

Question 9 :
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 10 :
An athlete completes one round of a circular track of radius $R$ in $40$ seconds. What will be his displacement at the end of $2$ minute $20$ seconds?

Question 11 :
Name a physical quantity that remains constant in a uniform circular motion.<br/>

Question 12 :
Uniform Circular Motion refers to a motion of an object in a circle at a constant _________.

Question 13 :
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 14 :
A particle moves with constant angular velocity in a circle. During the motion its

Question 15 :
<p>A block is moving in a circular path at constant speed. Which of the following statements is/are true?</p><p>I. The velocity is constant.</p><p>II. The direction of motion is constant.</p><p>III. The magnitude of velocity is constant.</p>

Question 17 :
A body is moving in a circular path such that its speed is decreasing with time. Angle between its velocity and acceleration may be

Question 18 :
A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of 4 rad/s$^2$. The number of revolutions it makes before coming to rest is:

Question 19 :
A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows

Question 20 :
A car runs at constant speed on a circular track of radius $10\ m$ taking $6.28\ s$ on each lap. The average speed and average velocity on each complete lap is

Question 21 :
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 22 :
The centripetal acceleration of a particle varies inversely with the square of the radius r of the circular path. The KE of this particle varies directly as:

Question 23 :
The driver of a car travelling at velocity $v$ suddenly see a broad wall in front of him at a distance $d$. He should :

Question 24 :
If Kinetic energy is expressed as $mv^2/2$ for a particle undergoing uniform velocity motion, How is the kinetic energy expressed in case of the same particle, if it was rotating:

Question 25 :
Revolution of the electron around the nucleus of an atom is an example of uniform circular motion.

Question 26 :
A horse runs on a circular track of length $720$ metres in $20$ seconds and returns to the starting point. Calculate the average speed

Question 27 :
A particle moves so that its position vector is given by $\vec{r}=\cos \omega t \hat{x}+\sin \omega t\hat{y}$. Where $\omega$ is a constant. Which of the following is true?

Question 28 :
A particle moves a distance x in time t according to equation $x=(t+5)^{-1}$. The acceleration of particle is proportional to

Question 29 :
Assertion: the velocity of a body at the bottom of an inclined plan e of a given height is more when it slides down the plane compared to when it is rolling down the same plane Reason: In rolling down , a body acquires both kinetic energy of translation and rotation

Question 30 :
A wheel has a speed of $1200$ revolutions per minute and is made to slow down at a rate of $4\ radians/s^{2}$. The number of revolutions it makes before coming to rest is:<br/>

Question 31 :
Assertion: In circular motion work done by all the forces acting on the body is zero. Reason: Centripetal force and velocity are mutually perpendicular.

Question 32 :
Uniform linear motion is a/an _______ motion while uniform circular motion is a/an _______ motion.

Question 33 :
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 34 :
Two particles move on a circular path (one just inside and the other just outside) with angular velocities $\omega $ and $ 5 \omega $ starting from the same point. Then:<br>

Question 35 :
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 36 :
The velocity of a car travelling on a straight road is $3.5km{ h }^{ -1 }$ at an instant of time. Now travelling with uniform acceleration for $10s$ the velocity becomes exactly double. If the wheel radius of the car is $25cm$, then which of the following is the closest to the number of revolutions that the wheel makes during this $10s$?

Question 37 :
A disc rotates about its axis with a constant angular acceleration of $4$ rad$/s^2$. Find the radius tangential accelerations of a particle at a distance of $1$ cm from the axis at the end of the second after the disc starts rotating.

Question 38 :
A particle is moving in a circle of radius $R$ in such a way that at any instant the normal and tangential component of its acceleration are equal. If its speed at $t=0$ is $\displaystyle v_{0}.$ The time taken to complete the first revolution is

Question 39 :
A particle of mass $10\ g$ moves along a circle of radius $6.4\ cm$ with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to $8 \times {10}^{-4} J$ by the end of the second revolution after the beginning of the motion?

Question 40 :
Assertion: Work done by friction force in case of pure rolling,is equal to change in rotational energy. Reason: Ratio of kinetic energy of rotation to kinetic energy of translation is fixed for every case.

Question 41 :
Find the average acceleration between points A and B at an angular separation of $60^{\circ}$<br>

Question 42 :
When seen from below , the blades of a ceiling fan are seen to be revolving anticlockwise and their speed is decreasing. Select correct statement about the direction of its angular velocity and angular acceleration.

Question 43 :
A merry-go-round, made of a ring-like platform of radius R and mass M. is revolving with angular speed $\omega$? A person of mass M is standing on it. At one instant., the person jumps off the<br>round, radially away from the center of the round (as seen from the round). The speed of the round afterwards is:

Question 44 :
Velocity of a particle varies as $\vec{V}=y\hat{i}-x\hat{j}$ under the effect of a single variable force. Then<br/>