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Kinematics-2D

212 Questions Start Errorless Test
All Exams Allen Advance Errorless
BCECE 2005 Q151 Errorless 1. 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 Q152 Errorless 2. Non-uniform Circular Motion MCQ
The angle turned by a body undergoing circular motion depends on time as $\theta = \theta_0 + \theta_1t + \theta_2t^2$ . 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 Q153 Errorless 2. 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 Q154 Errorless 3. 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 Q155 Errorless 3. 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
Odisha JEE 2005 Q156 Errorless 4. Oblique Projectile Motion MCQ
At what point of a projectile motion acceleration and velocity are perpendicular to each other
A.
At the point of projection
B.
At the point of drop
C.
At the topmost point
D.
Any where in between the point of projection and topmost point
DCE 2004 Q157 Errorless 1. Uniform Circular Motion MCQ
An object is moving in a circle of radius 100 m with a constant speed of 31.4 m/s. What is its average speed for one complete revolution
A.
Zero
B.
31.4 m/s
C.
3.14 m/s
D.
$\sqrt{2} \times 31.4$ m/s
KCET 2004 Q158 Errorless 1. Uniform Circular Motion MCQ
When a body moves in a circular path, no work is done by the force since,
A.
There is no displacement
B.
There is no net force
C.
Force and displacement are perpendicular to each other
D.
The force is always away from the centre
AIEEE 2004 Q159 Errorless 1. Uniform Circular Motion MCQ
Which of the following statements is false for a particle moving in a circle with a constant angular speed
A.
The velocity vector is tangent to the circle
B.
The acceleration vector is tangent to the circle
C.
The acceleration vector points to the centre of the circle
D.
The velocity and acceleration vectors are perpendicular to each other
BCECE 2004 Q160 Errorless 3. Horizontal Projectile Motion MCQ
At the height 80 m, an aeroplane is moving with 150 m/s. A bomb is dropped from it so as to hit a target. At what distance from the target should the bomb be dropped (Given $g = 10 \, m/s^{2}$ )
A.
605.3 m
B.
600 m
C.
80 m
D.
230 m
J & K CET 2004 Q161 Errorless 4. Oblique Projectile Motion MCQ
Neglecting the air resistance, the time of flight of a projectile is determined by
A.
$U_{\text{vertical}}$
B.
$U_{\text{horizontal}}$
C.
$U = U^{2}_{\text{vertical}} + U^{2}_{\text{horizontal}}$
D.
$U = U(U^{2}_{\text{vertical}} + U^{2}_{\text{horizontal}})^{1/2}$
AIEEE 2004 Q162 Errorless 4. Oblique Projectile Motion MCQ
A ball is thrown from a point with a speed $v_{o}$ at an angle of projection $\theta$ . From the same point and at the same instant a person starts running with a constant speed $v_{o}/2$ to catch the ball. Will the person be able to catch the ball? If yes, what should be the angle of projection
A.
Yes, $60^{\circ}$
B.
Yes, $30^{\circ}$
C.
No
D.
Yes, $45^{\circ}$
BCECE 2004 Q163 Errorless 4. Oblique Projectile Motion MCQ
A stone is thrown at an angle $\theta$ to the horizontal reaches a maximum height $H$ . Then the time of flight of stone will be
A.
$\sqrt{\frac{2H}{g}}$
B.
$2\sqrt{\frac{2H}{g}}$
C.
$\frac{2\sqrt{2H\sin\theta}}{g}$
D.
$\frac{\sqrt{2H\sin\theta}}{g}$
Odisha JEE 2003 Q164 Errorless 1. Uniform Circular Motion MCQ
A particle of mass $M$ is moving in a horizontal circle of radius $R$ with uniform speed $V$ . When it moves from one point to a diametrically opposite point, its
A.
Kinetic energy changes by $MV^2 / 4$
B.
Momentum does not change
C.
Momentum changes by $2MV$
D.
Kinetic energy changes by $MV^2$
MP PET 2003, 13 Q165 Errorless 1. Uniform Circular Motion MCQ
A body of mass m moves in a circular path with uniform angular velocity. The motion of the body has constant
A.
Acceleration
B.
Velocity
C.
Momentum
D.
Kinetic energy
UPSEAT 2003 Q166 Errorless 1. Uniform Circular Motion MCQ
Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is $v_{0}$ , then the ratio of tensions in the three sections of the string is
A.
3:5:7
B.
3:4:5
C.
7:11:6
D.
3:5:6
RPET 2003 Q167 Errorless 1. Uniform Circular Motion MCQ
A particle is moving on a circular path with constant speed, then its acceleration will be
A.
Zero
B.
External radial acceleration
C.
Internal radial acceleration
D.
Constant acceleration
Pb. PET 2003; MP PET 2010 Q168 Errorless 1. Uniform Circular Motion MCQ
The acceleration of a train travelling with speed of 400 m/s as it goes round a curve of radius 160 m, is
A.
$1 \, km/s^{2}$
B.
$100 \, m/s^{2}$
C.
$10 \, m/s^{2}$
D.
$1 \, m/s^{2}$
Pb. PET 2003 Q169 Errorless 2. Non-uniform Circular Motion MCQ
The maximum and minimum tension in the string whirling in a circle of radius 2.5 m with constant velocity are in the ratio 5:3 then its velocity is
A.
$\sqrt{98}$ m/s
B.
7 m/s
C.
$\sqrt{490}$ m/s
D.
$\sqrt{4.9}$
BHU 2003 Q170 Errorless 2. Non-uniform Circular Motion MCQ
A particle is kept at rest at the top of a sphere of diameter 42 m. When disturbed slightly, it slides down. At what height 'h' from the bottom, the particle will leave the sphere
A.
14 m
B.
28 m
C.
35 m
D.
7 m
KCET 2003; AIEEE 2004; AIIMS 2008; DCE 2009 Q171 Errorless 4. Oblique Projectile Motion MCQ
For a given velocity, a projectile has the same range R for two angles of projection if $t_{1}$ and $t_{2}$ are the times of flight in the two cases then
A.
$t_{1}t_{2} \propto R^{2}$
B.
$t_{1}t_{2} \propto R$
C.
$t_{1}t_{2} \propto \frac{1}{R}$
D.
$t_{1}t_{2} \propto \frac{1}{R^{2}}$
DPMT 2003; J & K CET 2004 Q172 Errorless 4. Oblique Projectile Motion MCQ
The horizontal range of a projectile is $4\sqrt{3}$ times its maximum height. Its angle of projection will be
A.
$45^{\circ}$
B.
$60^{\circ}$
C.
$90^{\circ}$
D.
$30^{\circ}$
CBSE PMT 2002; Odisha JEE 2003 Q173 Errorless 3. Horizontal Projectile Motion MCQ
A particle (A) is dropped from a height and another particle (B) is thrown in horizontal direction with speed of $5\mathrm{m / sec}$ from the same height. The correct statement is
A.
Both particles will reach at ground simultaneously
B.
Both particles will reach at ground with same speed
C.
Particle A will reach at ground first with respect to particle B
D.
Particle B will reach at ground first with respect to particle A
BHU 2002; DPMT 2004; JEE (Main) Jan. 2025 Q174 Errorless 5. Critical Thinking MCQ
A string of length L is fixed at one end and carries a mass M at the other end. The string makes $2/\pi$ revolutions per second around the vertical axis through the fixed end as shown in the figure, then tension in the string is
A.
ML
B.
2 ML
C.
4 ML
D.
16 ML
IIT-JEE (Screening) 2002 Q175 Errorless 6. Graphical Questions MCQ
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector $\vec{a}$ is correctly shown in
A.
B.
C.
D.