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Kinematics-2D

257 Questions Start Errorless Test
All Exams Allen Objective Errorless
Odisha JEE 2003 Q176 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 $MV^2$
Pb. PET 2003 Q177 Errorless 2. Non-uniform Circular Motion MCQ
The maximum and minimum tension in the string whirling in a circle of radius $2.5m$ with constant velocity are in the ratio 5:3 then its velocity is
A.
$\sqrt{98} m / s$
B.
$7m / s$
C.
$\sqrt{490} m / s$
D.
$\sqrt{4.9}$
BHU 2003 Q178 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
MH CET 2003 Q179 Errorless 3. Horizontal Projectile Motion MCQ
A bomber plane moves horizontally with a speed of 500 m/s and a bomb released from it, strikes the ground in 10 sec. Angle at which it strikes the ground will be $(g = 10 \, \text{m/s}^2)$
A.
$\tan^{-1}\left(\frac{1}{5}\right)$
B.
$\tan^{-1}\left(\frac{1}{2}\right)$
C.
$\tan^{-1}(1)$
D.
$\tan^{-1}(5)$
BVP 2003 Q180 Errorless 4. Oblique Projectile Motion MCQ
A cricketer hits a ball with a velocity 25 m/s at $60^{\circ}$ above the horizontal. How far above the ground it passes over a fielder 50 m from the bat (assume the ball is struck very close to the ground)
A.
8.2 m
B.
9.0 m
C.
11.6 m
D.
12.7 m
EAMCET 2003 Q181 Errorless 4. Oblique Projectile Motion MCQ
The equation of motion of a projectile are given by $x = 36t$ metre and $2y = 96t - 9.8t^2$ metre. The angle of projection is
A.
$\sin^{-1}\left(\frac{4}{5}\right)$
B.
$\sin^{-1}\left(\frac{3}{5}\right)$
C.
$\sin^{-1}\left(\frac{4}{3}\right)$
D.
$\sin^{-1}\left(\frac{3}{4}\right)$
KCET 2003; AIEEE 2004; AIIMS 2008; DCE 2009 Q182 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 Q183 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.
$30^{\circ}$
AFMC 2002, 03 Q184 Errorless 1. Uniform Circular Motion MCQ
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is
A.
Doubled
B.
Quadrupled
C.
Halved
D.
Unchanged
Kerala (Med.) 2002 Q185 Errorless 1. Uniform Circular Motion MCQ
A proton of mass $1.6 \times 10^{-27}$ kg goes round in a circular orbit of radius 0.10 m under a centripetal force of $4 \times 10^{-13}$ N. then the frequency of revolution of the proton is about
A.
$0.08 \times 10^{8}$ cycles per sec
B.
$4 \times 10^{8}$ cycles per sec
C.
$8 \times 10^{8}$ cycles per sec
D.
$12 \times 10^{8}$ cycles per sec
Kerala (Med.) 2002 Q186 Errorless 1. Uniform Circular Motion MCQ
An athlete completes one round of a circular track of radius 10 m in 40 sec. The distance covered by him in 2 min 20 sec is
A.
70 m
B.
140 m
C.
110 m
D.
220 m
AFMC 2002 Q187 Errorless 1. Uniform Circular Motion MCQ
A car is moving with high velocity when it has a turn. A force acts on it outwardly because of
A.
Centripetal force
B.
Centrifugal force
C.
Gravitational force
D.
All the above
Odisha JEE 2002 Q188 Errorless 1. Uniform Circular Motion MCQ
A particle moves with constant speed v along a circular path of radius r and completes the circle in time T. The acceleration of the particle is
A.
$2\pi v/T$
B.
$2\pi r/T$
C.
$2\pi r^{2}/T$
D.
$2\pi v^{2}/T$
MP PET 2002 Q189 Errorless 1. Uniform Circular Motion MCQ
In an atom for the electron to revolve around the nucleus, the necessary centripetal force is obtained from the following force exerted by the nucleus on the electron
A.
Nuclear force
B.
Gravitational force
C.
Magnetic force
D.
Electrostatic force
MP PMT 2002 Q190 Errorless 1. Uniform Circular Motion MCQ
A particle of mass m moves with constant speed along a circular path of radius r under the action of a force F. Its speed is
A.
$\sqrt{\frac{rF}{m}}$
B.
$\sqrt{\frac{F}{r}}$
C.
$\sqrt{Fmr}$
D.
$\sqrt{\frac{F}{mr}}$
Odisha JEE 2002 Q191 Errorless 2. Non-uniform Circular Motion MCQ
A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles $30^{\circ}$ and $60^{\circ}$ from vertical (lowest position) are $T_{1}$ and $T_{2}$ respectively. then
A.
$T_{1} = T_{2}$
B.
$T_{2} > T_{1}$
C.
$T_{1} > T_{2}$
D.
Tension in the string always remains the same
Odisha JEE 2002 Q192 Errorless 2. Non-uniform Circular Motion MCQ
A simple pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum with respect to the vertical
A.
$30^{\circ}$
B.
$45^{\circ}$
C.
$60^{\circ}$
D.
$90^{\circ}$
MH CET 2002 Q193 Errorless 2. Non-uniform Circular Motion MCQ
A body crosses the topmost point of a vertical circle with critical speed. Its centripetal acceleration, when the string is horizontal will be
A.
$6g$
B.
$3g$
C.
$2g$
D.
$g$
CBSE PMT 2002; Odisha JEE 2003 Q194 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 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)
Pb. PMT 2002 Q195 Errorless 4. Oblique Projectile Motion MCQ
A ball thrown by one player reaches the other in 2 sec. the maximum height attained by the ball above the point of projection will be about
A.
$10m$
B.
$7.5m$
C.
$5m$
D.
$2.5m$
AIEEE 2002 Q196 Errorless 4. Oblique Projectile Motion MCQ
In a projectile motion, velocity at maximum height is
A.
$\frac{u\cos\theta}{2}$
B.
$u\cos\theta$
C.
$\frac{u\sin\theta}{2}$
D.
None of these
UPSEAT 2002 Q197 Errorless 4. Oblique Projectile Motion MCQ
A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is
A.
100 m
B.
80 m
C.
60 m
D.
50 m
BHU 2002; DPMT 2004 Q198 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.
2ML
C.
4ML
D.
16 ML
IIT-JEE (Screening) 2002 Q199 Errorless 5. Critical Thinking 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.
Kerala (Engg.) 2001; MP PMT 2009 Q200 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.
$60^{\circ}$