← Back to Physics-I

Kinematics-2D

212 Questions Start Errorless Test
All Exams Allen Advance Errorless
Kerala (Engg.) 2001; MP PMT 2009 Q176 Errorless 1. Uniform Circular Motion MCQ
A cyclist riding the bicycle at a speed of $14\sqrt{3}$ $ms^{-1}$ takes a turn around a circular road of radius $20\sqrt{3}$ m without skidding. Given $g = 9.8 \, ms^{-2}$ , what is his inclination to the vertical
A.
$30^{\circ}$
B.
$90^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
KCET 2001; Kerala PMT 2008 Q177 Errorless 2. Non-uniform Circular Motion MCQ
When a ceiling fan is switched off its angular velocity reduces to 50% while it makes 36 rotations. How many more rotation will it make before coming to rest (Assume uniform angular retardation)
A.
18
B.
12
C.
36
D.
48
CBSE 2001; AIEEE 2007 Q178 Errorless 4. Oblique Projectile Motion MCQ
A projectile is projected with kinetic energy $K$ . If it has the maximum possible horizontal range, then its kinetic energy at the highest point will be
A.
$0.25K$
B.
$0.5K$
C.
$0.75K$
D.
$1.0K$
IIT-JEE (Screening) 2001 Q179 Errorless 6. Graphical Questions MCQ
A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in
A.
B.
C.
D.
Pb. PET 2000, 01; J & K CET 2006 Q180 Errorless 1. Uniform Circular Motion MCQ
A motor cyclist moving with a velocity of 72 km/hour on a flat road takes a turn on the road at a point where the radius of curvature of the road is 20 m. The acceleration due to gravity is $10 \, m/sec^{2}$ . In order to avoid skidding, he must not bend with respect to the vertical plane by an angle greater than
A.
$\theta = \tan^{-1} 6$
B.
$\theta = \tan^{-1} 2$
C.
$\theta = \tan^{-1} 25.92$
D.
$\theta = \tan^{-1} 4$
CBSE PMT 2000; JIPMER 2002 Q181 Errorless 4. Oblique Projectile Motion MCQ
If a body A of mass M is thrown with velocity V at an angle of $30^{\circ}$ to the horizontal and another body B of the same mass is thrown with the same speed at an angle of $60^{\circ}$ to the horizontal. The ratio of horizontal range of A to B will be
A.
1:3
B.
1:1
C.
$1:\sqrt{3}$
D.
$\sqrt{3}:1$
RPET 1999; Odisha PMT 2004; MP PET 2008, 09 Q182 Errorless 1. Uniform Circular Motion MCQ
A body of mass m is moving in a circle of radius r with a constant speed v. The force on the body is $\frac{mv^{2}}{r}$ and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle
A.
$\frac{mv^{2}}{r} \times \pi r$
B.
Zero
C.
$\frac{mv^{2}}{r^{2}}$
D.
$\frac{\pi r^{2}}{mv^{2}}$
CBSE PMT 1999; KCET 2001; JIPMER 2001, 02; Pb. PMT 2003 Q183 Errorless 1. Uniform Circular Motion MCQ
A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is
A.
250 N
B.
750 N
C.
1000 N
D.
1200 N
RPET 1999; DCE 2009; Kerala PMT 2009 Q184 Errorless 1. Uniform Circular Motion MCQ
A body is tided with a string and is given a circular motion with velocity v in radius r. The magnitude of the acceleration is
A.
$\frac{v}{r}$
B.
$\frac{v^{2}}{r}$
C.
$\frac{v}{r^{2}}$
D.
$\frac{v^{2}}{r^{2}}$
MP PMT 1999; Kerala PET 2010 Q185 Errorless 1. Uniform Circular Motion MCQ
A string breaks if its tension exceeds 10 newtons. A stone of mass $250\mathrm{gm}$ tied to this string of length $10\mathrm{cm}$ is rotated in a horizontal circle. The maximum angular velocity of rotation can be
A.
$20\mathrm{rad / s}$
B.
$40\mathrm{rad / s}$
C.
$100\mathrm{rad / s}$
D.
$200\mathrm{rad / s}$
DPMT 1999; UPSEAT 2000; RPET 2003; Pb. PET 2004; CBSE PMT (Pre.) 2011 Q186 Errorless 1. Uniform Circular Motion MCQ
A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of the particle in $m/s^{2}$ is
A.
$\pi^{2}$
B.
$8\pi^{2}$
C.
$4\pi^{2}$
D.
$2\pi^{2}$
DCE 1999, 2001, 09; Kerala PET 2011 Q187 Errorless 2. Non-uniform Circular Motion MCQ
A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is
A.
Rg
B.
$(Rg)^{2}$
C.
R/g
D.
$\sqrt{Rg}$
CPMT 1999; MH CET 2004 Q188 Errorless 2. Non-uniform Circular Motion MCQ
The minimum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l
A.
$\sqrt{gl}$
B.
$\sqrt{3gl}$
C.
$\sqrt{5gl}$
D.
$\sqrt{7gl}$
KCET 1999; BHU 2003 Q189 Errorless 3. Horizontal Projectile Motion MCQ
The maximum range of a gun on horizontal terrain is 16 km. If $g = 10m/s^{2}$ . What must be the muzzle velocity of the shell
A.
200 m/s
B.
400 m/s
C.
100 m/s
D.
50 m/s
BHU 1999; AMU (Engg.) 2000; DPMT 2001 Q190 Errorless 4. Oblique Projectile Motion MCQ
A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant
A.
Kinetic energy of the ball
B.
Speed of the ball
C.
Horizontal component of velocity
D.
Vertical component of velocity
AMU (Engg.) 1999; JIPMER 2001, 02 Q191 Errorless 5. Critical Thinking MCQ
The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered s as $k = as^{2}$ where a is a constant. The force acting on the particle is
A.
$2a \frac{s^{2}}{R}$
B.
$2as\left(1 + \frac{s^{2}}{R^{2}}\right)^{1/2}$
C.
2as
D.
$2a \frac{R^{2}}{s}$
AIIMS 1998; CBSE PMT 2000; DPMT 2000; RPET 2001; Kerala PET 2005; KCET 2007 Q192 Errorless 4. 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 Q193 Errorless 1. 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 Q194 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
MP PET 1997, 2010; UP CPMT 2006 Q195 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.
8 m/sec
B.
6 m/sec
C.
10 m/sec
D.
Not obtainable from the data
CBSE PMT 1997, 2001; AIEEE 2002; Pb. PMT 2004; Odisha PMT 2004; WB-JEE 2009, 12 Q196 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 Q197 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 Q198 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
Kurukshetra CEE 1996; Pb. PET 2001; BCECE 2003; RPMT 2006; Odisha JEE 2011 Q199 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.
$60^{\circ}$
EAMCET (Med.) 1995; AMU (Engg.) 2001; Odisha JEE 2009; Kerala PET 2011 Q200 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.
$-\frac{4k}{r}$