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Kinematics-2D

257 Questions Start Errorless Test
All Exams Allen Objective Errorless
CPMT 1997; RPMT 1999, 2006; BHU 2000; MH CET 2000, 01; MH CET 2002; CPMT 2003 Q226 Errorless 1. 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 Q227 Errorless 2. 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 Q228 Errorless 4. 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 Q229 Errorless 4. 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 Q230 Errorless 4. 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 Q231 Errorless 1. 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 Q232 Errorless 2. 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 Q233 Errorless 3. 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 Q234 Errorless 4. 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 Q235 Errorless 1. 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 Q236 Errorless 1. 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 Q237 Errorless 2. 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 Q238 Errorless 4. 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 Q239 Errorless 4. 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
Q240 Errorless 1. Uniform Circular Motion MCQ
A particle is moving with a uniform speed v in a circular path of radius r with the centre at O. When the particle moves from a point P to Q on the circle such that $\angle POQ = \theta$ , then the magnitude of the change in velocity is
A.
$2v \sin(2\theta)$
B.
Zero
C.
$2v \sin\left(\frac{\theta}{2}\right)$
D.
$2v \cos\left(\frac{\theta}{2}\right)$
Q241 Errorless 3. Horizontal Projectile Motion MCQ
An object is tied to a string of length $l$ and is revolved in a vertical circle at the minimum velocity. When the object reaches the uppermost point, the string breaks and it describes a parabolic path as shown in the figure under the gravitational force. The horizontal range $AC$ in the plane of $A$ would be
A.
l
B.
2l
C.
$\sqrt {2} l$
D.
$2 \sqrt {2} I$
Q242 Errorless 5. Critical Thinking MCQ
A projectile is fired from the surface of the earth with a velocity of $5 \, ms^{-1}$ and angle $\theta$ with the horizontal. Another projectile fired from another planet with a velocity of $3 \, ms^{-1}$ at the same angle follows a trajectory which is identical with the trajectory of the projectile fired from the earth. The value of the acceleration due to gravity on the planet is (in $ms^{-2}$ ) is (given $g = 9.8 \, ms^{-2}$ )
A.
16.3
B.
110.8
C.
3.5
D.
5.9
Q243 Errorless 5. Critical Thinking MCQ
A block of mass 10kg is in contact against the inner wall of a hollow cylindrical drum of radius 1m. The coefficient of friction between the block and the inner wall of the cylinder is 0.1. The minimum angular velocity needed for the cylinder to keep the block stationary when the cylinder is vertical and rotating about its axis, will be $(g = 10m/s^{2})$
A.
$\sqrt{10}rad/s$
B.
$\frac{10}{2\pi}rad/s$
C.
10rad/s
D.
$10\pi rad/s$
Q244 Errorless 5. Critical Thinking MCQ
A balloon is moving up in air vertically above a point $A$ on the ground. When it is at a height $h_1$ , a girl standing at a distance $d$ (point $B$ ) from $A$ (see figure) sees it at an angle $45^\circ$ with respect to the vertical. When the balloon climbs up a further height $h_2$ , it is seen at an angle $60^\circ$ with respect to the vertical if the girl moves further by a distance $2.464 d$ (point $C$ ). Then the height $h_2$ is (given $\tan 30^\circ = 0.5774$ )
A.
d
B.
0.732 d
C.
1.464 d
D.
0.464 d
Q245 Errorless 7. Assertion and Reason MCQ
Assertion : In projectile motion, the angle between the instantaneous velocity and acceleration at the highest point is $180^{\circ}$ . Reason : At the highest point, velocity of projectile will be in horizontal direction only.
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
Q246 Errorless 7. Assertion and Reason MCQ
Assertion : Two particles of different mass, projected with same velocity at same angles. The maximum height attained by both the particle will be same. Reason : The maximum height of projectile is independent of particle mass.
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
Q247 Errorless 7. Assertion and Reason MCQ
Assertion : The maximum horizontal range of projectile is proportional to square of velocity. Reason : The maximum horizontal range of projectile is equal to maximum height attained by projectile.
A.
If both assertion and reason are true and the reason is the correct explanation of the assertion.
B.
If both assertion and reason are true but reason is not the correct explanation of the assertion.
C.
If assertion is true but reason is false.
D.
If the assertion and reason both are false.
E.
If assertion is false but reason is true.
Q248 Errorless 8. Self Evaluation Test MCQ
Roads are banked on curves so that
A.
The speeding vehicles may not fall outwards
B.
The frictional force between the road and vehicle may be decreased
C.
The wear and tear of tyres may be avoided
D.
The weight of the vehicle may be decreased
Q249 Errorless 8. Self Evaluation Test MCQ
A particle is moving on a circular path of radius r with uniform velocity v. The change in velocity when the particle moves from P to Q is ( $\angle POQ = 40^{\circ}$ )
A.
$$<br /> 2 \nu \cos 4 0 ^ {\circ}<br /> $$
B.
$$<br /> 2 v \sin 4 0 ^ {\circ}<br /> $$
C.
$$<br /> 2 \upsilon \sin 2 0 ^ {\circ}<br /> $$
D.
$$<br /> 2 \nu \cos 2 0 ^ {\circ}<br /> $$
Q250 Errorless 8. Self Evaluation Test MCQ
A particle does uniform circular motion in a horizontal plane. The radius of the circle is 20 cm. The centripetal force acting on the particle is 10 N. It's kinetic energy is
A.
0.1 J
B.
0.2 J
C.
2.0 J
D.
1.0 J