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Kinematics-2D

384 Questions Start Objective Test
All Exams Allen Objective Errorless
AIIMS 1998; WB-JEE 2008; Odisha JEE 2011 Q251 Errorless Uniform Circular Motion MCQ
A body of mass 5 kg is moving in a circle of radius 1 m with an angular velocity of 2 radian/sec. The centripetal force is
A.
10 N
B.
20 N
C.
30 N
D.
40 N
AIIMS 1998; CBSE PMT 2000; DPMT 2000; RPET 2001; Kerala PET 2005; KCET 2007 Q252 Errorless Oblique Projectile Motion MCQ
The horizontal range is four times the maximum height attained by a projectile. The angle of projection is
A.
$90^{\circ}$
B.
$60^{\circ}$
C.
$45^{\circ}$
D.
$30^{\circ}$
MP PET 1997; AFMC 2006 Q253 Errorless Uniform Circular Motion MCQ
A motorcycle is going on an overbridge of radius R. The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it
A.
Increases
B.
Decreases
C.
Remains the same
D.
Fluctuates
CPMT 1997; RPMT 1999, 2006; BHU 2000; MH CET 2000, 01; MH CET 2002; CPMT 2003 Q254 Errorless Uniform Circular Motion MCQ
The angular speed of seconds needle in a mechanical watch is
A.
$\frac{\pi}{30}$ rad/s
B.
$2\pi$ rad/s
C.
$\pi$ rad/s
D.
$\frac{60}{\pi}$ rad/s
RPET 1997; RPMT 2005 Q255 Errorless Non-uniform Circular Motion MCQ
A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be
A.
17.7 m/s
B.
10.2 m/s
C.
12.4 m/s
D.
16.0 m/s
MP PET 1997, 2010; UP CPMT 2006 Q256 Errorless Oblique Projectile Motion MCQ
The height $y$ and the distance $x$ along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by $y = (8t - 5t^2) m$ and $x = 6t m$ , where $t$ is in second. The velocity with which the projectile is projected is
A.
$8m/sec$
B.
$6m/sec$
C.
$10m/sec$
D.
Not obtainable from the data
CBSE PMT 1997, 2001; AIEEE 2002; Pb. PMT 2004; Odisha PMT 2004; WB-JEE 2009, 12 Q257 Errorless Oblique Projectile Motion MCQ
A ball is projected with kinetic energy E at an angle of $45^{\circ}$ to the horizontal. At the highest point during its flight, its kinetic energy will be
A.
Zero
B.
E/2
C.
$E/\sqrt{2}$
D.
E
CPMT 1997; AIEEE 2003 Q258 Errorless Oblique Projectile Motion MCQ
The coordinates of a moving particle at any time 't' are given by $x = \alpha t^{3}$ and $y = \beta t^{3}$ . The speed of the particle at time 't' is given by
A.
$\sqrt{\alpha^{2} + \beta^{2}}$
B.
$3t\sqrt{\alpha^{2} + \beta^{2}}$
C.
$3t^{2}\sqrt{\alpha^{2} + \beta^{2}}$
D.
$t^{2}\sqrt{\alpha^{2} + \beta^{2}}$
CPMT 1996; Pb. PMT 2001; CBSE PMT 2001; AIEEE 2002; Kerala (Med.) 2002; MH CET 2004; Kerala PET 2007 Q259 Errorless Uniform Circular Motion MCQ
A car of mass 800 kg moves on a circular track of radius 40 m. If the coefficient of friction is 0.5, then maximum velocity with which the car can move is
A.
7 m/s
B.
14 m/s
C.
8 m/s
D.
12 m/s
RPET 1996; MH CET 2002; MP PMT 2003; Kerala PET 2009 Q260 Errorless Non-uniform Circular Motion MCQ
A car is moving with speed 30 m/sec on a circular path of radius 500 m. Its speed is increasing at the rate of $2m/sec^{2}$ , What is the acceleration of the car
A.
$2m/sec^{2}$
B.
$2.7m/sec^{2}$
C.
$1.8m/sec^{2}$
D.
$9.8m/sec^{2}$
CPMT 1996; RPMT 2000; AFMC 2001; JIPMER 2001, 02 Q261 Errorless Horizontal Projectile Motion MCQ
An aeroplane is flying horizontally with a velocity of 600 km/h at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is
A.
1200 m
B.
0.33 km
C.
3.33 km
D.
33 km
Kurukshetra CEE 1996; Pb. PET 2001; BCECE 2003; RPMT 2006; Odisha JEE 2011 Q262 Errorless Oblique Projectile Motion MCQ
The angle of projection at which the horizontal range and maximum height of projectile are equal is
A.
$45^{\circ}$
B.
$\theta = \tan^{-1}(0.25)$
C.
$\theta = \tan^{-1} 4$ or $(\theta = 76^{\circ})$
D.
$60^{\circ}$
CBSE PMT 1995; SCRA 1998; Pb. PMT 1999; DPMT 2000; AFMC 2002; CPMT 2002 Q263 Errorless Uniform Circular Motion MCQ
The angular speed of a fly wheel making 120 revolutions/minute is
A.
$2\pi$ rad/s
B.
$4\pi^2$ rad/s
C.
$\pi$ rad/s
D.
$4\pi$ rad/s
EAMCET (Med.) 1995; AMU (Engg.) 2001; Odisha JEE 2009; Kerala PET 2011 Q264 Errorless Uniform Circular Motion MCQ
If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force $(-k/r^{2})$ , the total energy is
A.
$-\frac{k}{2r}$
B.
$-\frac{k}{r}$
C.
$-\frac{2k}{r}$
D.
$-\frac{4k}{r}$
RPET 1995; UPSEAT 2002; MH CET 2002; RPMT 2006; MP PET 2010 Q265 Errorless Non-uniform Circular Motion MCQ
A cane filled with water is revolved in a vertical circle of radius 4 m and the water just does not fall down. The time period of revolution will be
A.
1 sec
B.
10 sec
C.
8 sec
D.
4 sec
EAMCET (Med.) 1995; MH CET 2003; BCECE 2004 Q266 Errorless Oblique Projectile Motion MCQ
A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls
A.
Outside the car
B.
In the car ahead of the person
C.
In the car to the side of the person
D.
Exactly in the hand which threw it up
EAMCET (Med.) 1995; Pb. PMT 2000; AIIMS 2001; Odisha JEE 2010 Q267 Errorless Oblique Projectile Motion MCQ
Two bodies are projected with the same velocity. If one is projected at an angle of $30^{\circ}$ and the other at an angle of $60^{\circ}$ to the horizontal, the ratio of the maximum heights reached is
A.
3:1
B.
1:3
C.
1:2
D.
2:1
Q268 Objective Taking it together MCQ
In a two dimensional motion, instantaneous speed $v_{0}$ is a positive constant. Then which of the following are necessarily true? [NCERT Exemplar]
A.
The average velocity is not zero at any time.
B.
Average acceleration must always vanish.
C.
Displacements in equal time intervals are equal.
D.
Equal path lengths are traversed in equal intervals.
Q269 Objective Taking it together MCQ
In a two dimensional motion, instantaneous speed $v_{0}$ is a positive constant. Then, which of the following are necessarily true? [NCERT Exemplar]
A.
The acceleration of the particle is zero.
B.
The acceleration of the particle is bounded.
C.
The acceleration of the particle is necessarily in the plane of motion.
D.
The particle must be undergoing a uniform circular motion.
Q270 Objective Taking it together MCQ
A particle velocity changes from $(2\hat{\mathbf{i}}-3\hat{\mathbf{j}})\mathrm{ms}^{-1}$ to $(3\hat{\mathbf{i}}-2\hat{\mathbf{j}})\mathrm{ms}^{-1}$ in 2 s. If its mass is 1 kg, the acceleration $(\mathrm{ms}^{-2})$ is
A.
$-(\hat{\mathbf{i}}+\hat{\mathbf{j}})$
B.
$(\hat{\mathbf{i}}+\hat{\mathbf{j}})/2$
C.
zero
D.
$(\hat{\mathbf{i}}-\hat{\mathbf{j}})/2$
Q271 Objective Taking it together MCQ
A projectile is thrown at an angle $\theta$ with the horizontal and its range is $R_{1}$ . It is then thrown at an angle $\theta$ with vertical and the range is $R_{2}$ , then
A.
$R_{1} = 4R_{2}$
B.
$R_{1} = 2R_{2}$
C.
$R_{1} = R_{2}$
D.
None of these
Q272 Objective Taking it together MCQ
Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component highest first.
A.
1, 2, 3, 4
B.
2, 3, 4, 1
C.
3, 4, 1, 2
D.
4, 3, 2, 1
Q273 Objective Taking it together MCQ
Which of the following is the graph between the height (h) of a projectile and time (t), when it is projected from the ground?
A.
B.
C.
D.
Q274 Objective Taking it together MCQ
Which of the following is the altitude-time graph for a projectile thrown horizontally from the top of the tower?
A.
B.
C.
D.
Q275 Objective Taking it together MCQ
The horizontal range of a projectile fired at an angle of $15^{\circ}$ is 50 m. If it is fired with the same speed at an angle of $45^{\circ}$ , its range will be [NCERT Exemplar]
A.
60 m
B.
71 m
C.
100 m
D.
141 m