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Kinematics-2D

384 Questions Start Objective Test
All Exams Allen Objective Errorless
EAMCET 2014 Q76 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
A body is projected horizontally from the top of a tower with a velocity of $10 \, ms^{-1}$ . If it hits the ground at an angle of $45^{\circ}$ , then the vertical component of velocity when it hits ground (in $ms^{-1}$ ) is
A.
$10\sqrt{2}$
B.
$5\sqrt{2}$
C.
5
D.
10
EAMCET 2014 Q77 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
A body is projected with an angle $\theta$ . The maximum height reached is $h$ . If the time of flight is 4 s and $g = 10 \, \text{ms}^{-2}$ , then value of $h$ is
A.
40 m
B.
20 m
C.
5 m
D.
10 m
NEET 2013 Q78 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
The velocity of a projectile at the initial point A is $(2\hat{\mathbf{i}}+3\hat{\mathbf{j}})\mathrm{ms}^{-1}$ . Its velocity (in ms $^{-1}$ ) at point B is
A.
$-2\hat{\mathbf{i}} -3\hat{\mathbf{j}}$
B.
$-2\hat{\mathbf{i}} +3\hat{\mathbf{j}}$
C.
$2\hat{\mathbf{i}} -3\hat{\mathbf{j}}$
D.
$2\hat{\mathbf{i}} +3\hat{\mathbf{j}}$
J & K CET 2013 Q79 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
A projectile is thrown with initial velocity $u_{0}$ and angle $30^{\circ}$ with the horizontal. If it remains in the air for 1s, what was its initial velocity?
A.
$19.6 \, ms^{-1}$
B.
$9.8 \, ms^{-1}$
C.
$4.9 \, ms^{-1}$
D.
$1 \, ms^{-1}$
KCET 2013 Q80 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
A projectile is projected at $10 \, ms^{-1}$ by making at an angle $60^{\circ}$ to the horizontal. After some time, its velocity makes an angle of $30^{\circ}$ to the horizontal. Its speed at this instant is
A.
$\frac{10}{\sqrt{3}}$
B.
$10\sqrt{3}$
C.
$\frac{5}{\sqrt{3}}$
D.
$5\sqrt{3}$
UP CPMT 2013 Q81 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
Two particles are projected upwards with the same initial velocity $v_{0}$ in two different angles of projection such that their horizontal ranges are the same. The ratio of the heights of their highest point will be
A.
$\tan^{2}\theta_{1}$
B.
$v_{0}^{2}\sin^{2}\theta_{1}$
C.
$v_{0}\sin\theta_{1}$
D.
$v_{0}/\cos\theta_{1}$
J & K CET 2013 Q82 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
The velocity vector of the motion described by the position vector of a particle $r = 2t\hat{i} + t^{2}\hat{j}$ is given by
A.
$v = 2\hat{i} + 2t\hat{j}$
B.
$v = 2t\hat{i} + 2t\hat{j}$
C.
$v = t\hat{i} + t^{2}\hat{j}$
D.
$v = 2\hat{i} + t^{2}\hat{j}$
JEE (Main) 2013 Q83 Errorless 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 Q84 Errorless 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 Q85 Errorless 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 Q86 Errorless 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 AIPMT 2012 Q87 Objective Collection of questions asked in NEET & various medical entrance exams 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.
$\theta = 45^{\circ}$
UP CPMT 2012 Q88 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
Trajectories of two projectiles are shown in figure, let $T_{1}$ and $T_{2}$ be the periods and $u_{1}$ and $u_{2}$ are their speeds of projections, then [UP CPMT 2012]
A.
$T_{2} > T_{1}$
C.
$u_{1} > u_{2}$
B.
$T_{1} = T_{2}$
D.
$u_{1} < u_{2}$
BHU 2012 Q89 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
If for the same range, the two heights attained are 20 m and 80 m, then the range will be
A.
20 m
B.
40 m
C.
120 m
D.
160 m
BHU 2012 Q90 Objective Collection of questions asked in NEET & various medical entrance exams MCQ
A ball thrown by one player reaches the other in 2 s. The maximum height attained by the ball above the point of projection will be (Take, $g = 10 \, ms^{-2}$ )
A.
2.5 m
B.
5 m
C.
7.5 m
D.
10 m
CBSE PMT (Pre.) 2012 Q91 Errorless 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 Q92 Errorless 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 Q93 Errorless 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 Q94 Errorless 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 Q95 Errorless 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 Q96 Errorless 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 Q97 Errorless 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 Q98 Errorless 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 Q99 Errorless 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 Q100 Errorless 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.
$\theta = 45^{\circ}$