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Kinematics-2D

384 Questions Start Objective Test
All Exams Allen Objective Errorless
Kerala PMT 2007 Q151 Errorless Oblique Projectile Motion MCQ
A particle is projected with a speed v at $45^{\circ}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height h is
A.
Zero
B.
$\frac{mvh^{2}}{\sqrt{2}}$
C.
$\frac{mvh}{\sqrt{2}}$
D.
$\frac{mvh^{3}}{\sqrt{2}}$
AIIMS 2007 Q152 Errorless Graphical Questions MCQ
A particle is thrown above, then correct $v - t$ graph will be
A.
B.
C.
D.
BHU 2006; AMU 2010; NEET 2017 Q153 Errorless Uniform Circular Motion MCQ
One end of a string of length $l$ is connected to a particle of mass $m$ and the other to a small peg on a smooth horizontal table. If the particle moves in a circle with speed $v$ , the net force on the particle (directed towards the centre) will be ( $T$ represents the tension in the string)
A.
$T$
B.
$T - \frac{mv^2}{l}$
C.
$T + \frac{mv^2}{l}$
D.
Zero
RPMT 2006 Q154 Errorless Uniform Circular Motion MCQ
A body is moving in a circular path with acceleration $a$ . If its velocity gets doubled, find the ratio of acceleration after and before the change
A.
$1:4$
B.
$\frac{1}{4}:2$
C.
$2:1$
D.
$4:1$
CBSE PMT 2006 Q155 Errorless Uniform Circular Motion MCQ
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular loop. The average velocity and average speed for each circular loop respectively is
A.
10 m/s, 10 m/s
B.
10 m/s, 0
C.
0, 0
D.
0, 10 m/s
J & K CET 2006 Q156 Errorless Uniform Circular Motion MCQ
Two particles of equal mass are connected to a rope AB of negligible mass such that one is at end A and other dividing the length of rope in the ratio 1:2 from B. The rope is rotated about end B in a horizontal plane. Ratio of tensions in the smaller part to the other is (ignore effect of gravity)
A.
4:3
B.
1:4
C.
1:2
D.
1:3
BHU 2006 Q157 Errorless Horizontal Projectile Motion MCQ
A cart is moving horizontally along a straight line with constant speed 30 m/s. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 80m. At what speed (relative to the cart) must the projectile be fired (Take $g = 10m/s^{2}$ )
A.
10 m/s
B.
$10\sqrt{8}$ m/s
C.
$\frac{40}{3}$ m/s
D.
None of these
CBSE PMT 2006 Q158 Errorless Oblique Projectile Motion MCQ
Galileo writes that for angles of projection of a projectile at angles $(45^{\circ} + \theta)$ and $(45^{\circ} - \theta)$ , the horizontal ranges described by the projectile are in the ratio of (if $\theta \leq 45^{\circ}$ )
A.
2:1
B.
1:2
C.
1:1
D.
2:3
MP PMT 2006 Q159 Errorless Oblique Projectile Motion MCQ
An arrow is shot into air. Its range is 200 m and its time of flight is 5 s. If $g = 10 \, m/s^{2}$ , then the horizontal component of velocity of the arrow is
A.
12.5 m/s
B.
25 m/s
C.
31.25 m/s
D.
40 m/s
J & K CET 2006 Q160 Errorless Oblique Projectile Motion MCQ
Two bodies are projected from ground with equal speeds 20 m/sec from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is $30^{\circ}$ the sum of their maximum heights is (assume $g = 10m/s^{2}$ )
A.
400 m
B.
20 m
C.
30 m
D.
40 m
BCECE 2006 Q161 Errorless Oblique Projectile Motion MCQ
A projectile is projected with $a$ speed $u$ making an angle $2\theta$ with the horizontal. what is the speed when its direction of motion makes an angle $\theta$ with the horizontal
A.
$(u\cos 2\theta) / 2$
B.
$u\cos \theta$
C.
$u(2\cos \theta -\sec \theta)$
D.
$u(\cos \theta -\sec \theta)$
UP CPMT 2006 Q162 Errorless Oblique Projectile Motion MCQ
A ball is thrown up at an angle with the horizontal. Then the total change of momentum by the instant it returns to ground is
A.
Acceleration due to gravity $\times$ total time of flight
B.
Weight of the ball $\times$ half the time of flight
C.
Weight of the ball $\times$ total time of flight
D.
Weight of the ball $\times$ horizontal range
AFMC 2006 Q163 Errorless Oblique Projectile Motion MCQ
A projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of $147~\mathrm{ms^{-1}}$ . Then the time after which its inclination with the horizontal is $45^{\circ}$ , is
A.
$15~s$
B.
$10.98~s$
C.
$5.49~s$
D.
$2.745~s$
CBSE PMT 2006; DCE 2006 Q164 Errorless Critical Thinking MCQ
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$ . The force exerted by the liquid at the other end is
A.
$\frac{ML\omega^{2}}{2}$
B.
$ML\omega^{2}$
C.
$\frac{ML\omega^{2}}{4}$
D.
$\frac{ML^{2}\omega^{2}}{2}$
UP CPMT 2006 Q165 Errorless Critical Thinking MCQ
The angular amplitude of a simple pendulum is $\theta_0$ . The maximum tension in its string will be
A.
$mg(1 - \theta_0)$
B.
$mg(1 + \theta_0)$
C.
$mg(1 - \theta_0^2)$
D.
$mg(1 + \theta_0^2)$
Kerala PMT 2006 Q166 Errorless Graphical Questions MCQ
Consider the given velocity-time graph It represents the motion of
A.
A projectile projected vertically upward, from a point
B.
An electron in the hydrogen atom
C.
A car with constant acceleration along a straight road
D.
A bullet fired horizontally from the top of a tower
Kerala PET 2005 Q167 Errorless Uniform Circular Motion MCQ
If the length of the second's hand in a stop clock is 3 cm the angular velocity and linear velocity of the tip is
A.
0.2047 rad/sec., 0.0314 m/sec
B.
0.2547 rad/sec., 0.314 m/sec
C.
0.1472 rad/sec., 0.06314 m/sec
D.
0.1047 rad/sec., 0.00314 m/sec
Odisha JEE 2005 Q168 Errorless Uniform Circular Motion MCQ
What is the angular velocity of earth
A.
$\frac{2\pi}{86400}\mathrm{rad / sec}$
B.
$\frac{2\pi}{3600}\mathrm{rad / sec}$
C.
$\frac{2\pi}{24}\mathrm{rad / sec}$
D.
$\frac{2\pi}{6400}\mathrm{rad / sec}$
J & K CET 2005 Q169 Errorless Uniform Circular Motion MCQ
A particle describes a horizontal circle in a conical funnel whose inner surface is smooth with speed of 0.5 m/s. What is the height of the plane of circle from vertex of the funnel
A.
0.25 cm
B.
2 cm
C.
4 cm
D.
2.5 cm
CBSE PMT 2005 Q170 Errorless Uniform Circular Motion MCQ
A stone tied to the end of a string $1m$ long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revolution in 44 seconds, what is the magnitude and direction of acceleration of the stone
A.
$\pi^2 / 4ms^{-2}$ and direction along the radius towards the centre
B.
$\pi^2 ms^{-2}$ and direction along the radius away from the centre
C.
$\pi^2 ms^{-2}$ and direction along the radius towards the centre
D.
$\pi^2 ms^{-2}$ and direction along the tangent to the circle
BCECE 2005 Q171 Errorless Uniform Circular Motion MCQ
A particle is moving in a circle of radius R with constant speed v, if radius is double then its centripetal force to keep the same speed should be
A.
Doubled
B.
Halved
C.
Quadrupled
D.
Unchanged
Odisha JEE 2005 Q172 Errorless Non-uniform Circular Motion MCQ
The angle turned by a body undergoing circular motion depends on time as $\theta = \theta_0 + \theta_1 t + \theta_2 t^2$ . Then the angular acceleration of the body is
A.
$\theta_1$
B.
$\theta_2$
C.
$2\theta_1$
D.
$2\theta_2$
IIT JEE 2005 Q173 Errorless Non-uniform Circular Motion MCQ
A particle moves in a circular path with decreasing speed. Choose the correct statement
A.
Angular momentum remains constant
B.
Acceleration $(\vec{a})$ is towards the centre
C.
Particle moves in a spiral path with decreasing radius
D.
The direction of angular momentum remains constant
Odisha JEE 2005; DCE 2006 Q174 Errorless Horizontal Projectile Motion MCQ
Three particles A, B and C are thrown from the top of a tower with the same speed. A is thrown up, B is thrown down and C is horizontally. They hit the ground with speeds $V_{A}$ , $V_{B}$ and $V_{C}$ respectively
A.
$V_{A} = V_{B} = V_{C}$
B.
$V_{A} = V_{B} > V_{C}$
C.
$V_{B} > V_{C} > V_{A}$
D.
$V_{A} > V_{B} = V_{C}$
RPMT 2005; Kerala PET 2009 Q175 Errorless Horizontal Projectile Motion MCQ
A bullet is to be fired with a speed of $2000 \, ms^{-1}$ to hit a target 200 m away on a level ground. If $g = 10 \, ms^{-2}$ , the gun should be aimed
A.
Directly at the target
B.
5 cm below the target
C.
5 cm above the target
D.
2 cm above the target
E.
2 cm below the target