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Kinematics-2D

257 Questions Start Errorless Test
All Exams Allen Objective Errorless
NEET (Phase-II) 2016 Q51 Errorless 2. Non-uniform Circular Motion MCQ
In the given figure, $a=15m/s^{2}$ represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5 m at a given instant of time. The speed of the particle is
A.
6.2 m/s
B.
4.5 /s
C.
5.0 m/s
D.
5.7 m/s
NEET (Phase-I) 2016 Q52 Errorless 2. Non-uniform Circular Motion MCQ
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
A.
$0.1 m/s^{2}$
B.
$0.15 m/s^{2}$
C.
$0.18 m/s^{2}$
D.
$0.2 m/s^{2}$
NEET (Phase-I) 2016 Q53 Errorless 2. Non-uniform Circular Motion MCQ
A uniform circular disc of radius 50 cm at rest is free to turn about an axis which is perpendicular to its plans and passes through its centre. It is subjected to a torque which produces a constant angular acceleration of $2.0 \, rad \, s^{-2}$ . Its net acceleration in $ms^{-2}$ at the end of 2.0 s is approximately
A.
8.0
B.
7.0
C.
6.0
D.
3.0
AIPMT 2015 Q54 Errorless 1. Uniform Circular Motion MCQ
Two stones of masses m and 2m are whirled in horizontal circles the heavier one in radius $\frac{r}{2}$ and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience same centripetal forces. The value of n is
A.
3
B.
4
C.
1
D.
2
AIPMT 2015 Q55 Errorless 1. Uniform Circular Motion MCQ
The position vector of a particle $\vec{R}$ as a function of time is given by $\vec{R} = 4\sin (2\pi t)\hat{i} +4\cos (2\pi t)\hat{j}$ where R is in meters, $t$ is seconds and $\hat{i}$ and $\hat{j}$ denote unit vectors along x- and y-directions, respectively. Which one of the following statements is wrong for the motion of particle
A.
Magnitude of acceleration vector is $\frac{v^2}{R}$ , where v is the velocity of particle
B.
Magnitude of the velocity of particle is $8\mathrm{m / s}$
C.
Path of the particle is a circle of radius $4\mathrm{m}$
D.
Acceleration vector is along - $\vec{R}$
MH CET 2015 Q56 Errorless 1. Uniform Circular Motion MCQ
The difference between angular speed of minute hand and second hand of a clock is
A.
$\frac{59\pi}{900}rad/s$
B.
$\frac{59\pi}{1800}rad/s$
C.
$\frac{59\pi}{2400}rad/s$
D.
$\frac{59\pi}{3600}rad/s$
WB-JEE 2015 Q57 Errorless 2. Non-uniform Circular Motion MCQ
A simple pendulum of length L swings in a vertical plane. The tension of the string when it makes an angle $\theta$ with the vertical and the bob of mass m moves with a speed v is (g is the gravitational acceleration)
A.
$mv^{2}/L$
B.
$mg\cos\theta + mv^{2}/L$
C.
$mg\cos\theta - mv^{2}/L$
D.
$mg\cos\theta$
KCET 2015 Q58 Errorless 4. Oblique Projectile Motion MCQ
A particle is projected with a velocity v so that its horizontal range is twice the greatest height attained. The horizontal range is
A.
$\frac{2v^{2}}{3g}$
B.
$\frac{v^{2}}{2g}$
C.
$\frac{v^{2}}{g}$
D.
$\frac{4v^{2}}{5g}$
KCET 2015 Q59 Errorless 5. Critical Thinking MCQ
The ratio of angular speed of a second-hand to the hour-hand of a watch is
A.
60:1
B.
72:1
C.
720:1
D.
3600:1
JEE (Main) 2015 Q60 Errorless 6. Graphical Questions MCQ
Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of relative position of the second stone with respect to the first (Assume stones do not rebound after hitting the ground and neglect air resistance, take $g=10m/s^{2}$ ). (The figures are schematic and not drawn to scale)
A.
B.
C.
D.
JEE (Main) 2013 Q61 Errorless 4. Oblique Projectile Motion MCQ
A projectile is given an initial velocity of $(\hat{i} + 2\hat{j})$ m/s, where $\hat{i}$ is along the ground and $\hat{j}$ is along the vertical. If $g = 10m/s^{2}$ , the equation of its trajectory is
A.
$y = x - 5x^{2}$
B.
$y = 2x - 5x^{2}$
C.
$4y = 2x - 5x^{2}$
D.
$4y = 2x - 25x^{2}$
WB-JEE 2013 Q62 Errorless 4. Oblique Projectile Motion MCQ
A body is projected from the ground with a velocity $\vec{v} = (3\hat{i} + 10\hat{j})ms^{-1}$ . The maximum height attained and the range of the body respectively are (given $g = 10ms^{-2}$ )
A.
$5m$ and $6m$
B.
$3m$ and $10m$
C.
$6m$ and $5m$
D.
$3m$ and $5m$
NEET 2013 Q63 Errorless 4. Oblique Projectile Motion MCQ
The velocity of a projectile at the initial point A is $(2\hat{i} + 3\hat{j})m/s$ . It's velocity (in m/s) at point B is
A.
$2\hat{i} + 3\hat{j}$
B.
$-2\hat{i} - 3\hat{j}$
C.
$-2\hat{i} + 3\hat{j}$
D.
$2\hat{i} - 3\hat{j}$
NEET (Karnataka) 2013 Q64 Errorless 5. Critical Thinking MCQ
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle made by the rod with track is
A.
Zero
B.
30Ā°
C.
45Ā°
D.
60Ā°
CBSE PMT (Pre.) 2012 Q65 Errorless 1. Uniform Circular Motion MCQ
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is $45^{\circ}$ , the speed of the car is
A.
$20 ms^{-1}$
B.
$30 ms^{-1}$
C.
$5 ms^{-1}$
D.
$10 ms^{-1}$
Odisha JEE 2012 Q66 Errorless 1. Uniform Circular Motion MCQ
A body moves in a circle covers equal distance in equal intervals of time. Which of the following remains constant
A.
Velocity
B.
Acceleration
C.
Speed
D.
Displacement
Kerala PMT 2012 Q67 Errorless 1. Uniform Circular Motion MCQ
A particle of mass m describes uniform circular motion in a horizontal plane. The quantity that is conserved is
A.
Linear velocity
B.
Linear momentum
C.
Angular momentum
D.
Linear acceleration
E.
Angular displacement
AMU (Med.) 2012 Q68 Errorless 1. Uniform Circular Motion MCQ
A particle moves in a circular orbit of radius $r$ under a central attractive force $F = -\frac{k}{r}, k$ is constant. The time period of its motion shall be proportional to
A.
$r^{1/2}$
B.
$r$
C.
$r^{3/2}$
D.
$r^{2/3}$
J & K CET 2012 Q69 Errorless 1. Uniform Circular Motion MCQ
A brick of mass m, tied to a rope, is being whirled in a vertical circle, with a uniform speed. The tension in the rope is
A.
The same throughout
B.
Largest when the brick is at the highest point of the circular path and smallest when it is at the lowest point
C.
Largest when the rope is horizontal and smallest when it is vertical
D.
Largest when the brick is at the lowest point and smallest when it is at the highest point
AIEEE 2012 Q70 Errorless 1. Uniform Circular Motion MCQ
Two cars of masses $m_{1}$ and $m_{2}$ are moving in circles of radii $r_{1}$ and $r_{2}$ respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is
A.
$m_{1}r_{1}:m_{2}r_{2}$
B.
$m_{1}:m_{2}$
C.
$r_{1}:r_{2}$
D.
1:1
AMU (Engg.) 2012 Q71 Errorless 2. Non-uniform Circular Motion MCQ
What is approximately the centripetal acceleration (in units of acceleration due to gravity on earth, $g = 10 \, m/s^{2}$ ) of an air-craft flying at a speed of 400 m/s through a circular arc of radius 0.6 km
A.
26.7
B.
16.9
C.
13.5
D.
30.2
Kerala PMT 2012 Q72 Errorless 2. Non-uniform Circular Motion MCQ
If the velocity (in $ms^{-1}$ ) of a particle is given by $4.0\hat{i} + 5.0t\hat{j}$ , then the magnitude of its acceleration (in $ms^{-2}$ ) is
A.
4
B.
-5
C.
0
D.
-4
E.
5
AMU (Med.) 2012 Q73 Errorless 2. Non-uniform Circular Motion MCQ
One end of a string of length 1.0m is tied to a body of mass 0.5kg. It is whirled in a vertical circle with angular frequency 4 rad/s. The tension in the string when the body is at the lower most point of its motion will be equal to (Take $g = 10m/s^{2}$ )
A.
3N
B.
5N
C.
8N
D.
13N
CBSE PMT (Pre.) 2012 Q74 Errorless 3. Horizontal Projectile Motion MCQ
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
A.
$\theta = \tan^{-1}\left(\frac{1}{4}\right)$
B.
$\theta = \tan^{-1}(4)$
C.
$\theta = \tan^{-1}(2)$
D.
$\theta = 45^{\circ}$
AIEEE 2012 Q75 Errorless 3. Horizontal Projectile Motion MCQ
A boy can throw a stone up to a maximum height of 10m. The maximum horizontal distance that the boy can throw the same stone up to will be
A.
$20\sqrt{2}m$
B.
10m
C.
$10\sqrt{2}m$
D.
20m