← Back to Physics-I

Kinematics-2D

212 Questions Start Errorless Test
All Exams Allen Advance Errorless
JEE (Main) Jan. 2025 Q1 Errorless 5. Critical Thinking MCQ
A bob of mass m is suspended at a point O by a light string of length l and left to perform vertical motion (circular) as shown in figure. Initially, by applying horizontal velocity $v_{0}$ at the point ā€˜Aā€™. the string becomes slack when, the bob reaches at the point ā€˜Dā€™. the ration of the kinetic energy of the bob at the points B and C is ____
A.
2
B.
1
C.
4
D.
3
JEE (Main) Jan. 2025 Q2 Errorless 5. Critical Thinking MCQ
A ball of mass 100 g is projected with velocity 20 m/s at 60Ā° with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is
A.
20 J
B.
15 J
C.
zero
D.
5 J
JEE (Main) Jan. 2025 Q3 Errorless 5. Critical Thinking MCQ
A ball having kinetic energy KE, is projected at an angle of $60^{\circ}$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight
A.
$\frac{(KE)}{8}$
B.
$\frac{(KE)}{4}$
C.
$\frac{(KE)}{16}$
D.
$\frac{(KE)}{2}$
JEE (Main) Jan. 2025 Q4 Errorless 5. Critical Thinking MCQ
Two projectiles are fired with same initial speed from same point on ground at angles of $(45^{\circ}-\alpha)$ and $(45^{\circ}+\alpha)$ , respectively, with the horizontal direction. The ratio of their maximum heights attained is
A.
$\frac{1-\tan\alpha}{1+\tan\alpha}$
B.
$\frac{1+\sin\alpha}{1-\sin\alpha}$
C.
$\frac{1-\sin2\alpha}{1+\sin2\alpha}$
D.
$\frac{1+\sin2\alpha}{1-\sin2\alpha}$
JEE (Main) Jan. 2024 Q5 Errorless 5. Critical Thinking MCQ
A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with the same speed at an angle $\theta$ to the horizontal, the maximum height attained by it is equal to 4R. The angle of projection $\theta$ is then given by
A.
$\sin^{-1}\left[\frac{2gT^{2}}{\pi^{2}R}\right]^{\frac{1}{2}}$
B.
$\sin^{-1}\left[\frac{\pi^{2}R}{2gT^{2}}\right]^{\frac{1}{2}}$
C.
$\cos^{-1}\left[\frac{2gT^{2}}{\pi^{2}R}\right]^{\frac{1}{2}}$
D.
$\cos^{-1}\left[\frac{\pi R}{2gT^{2}}\right]^{\frac{1}{2}}$
JEE (Main) Jan. 2024 Q6 Errorless 5. Critical Thinking MCQ
Position of an ant (S in metres) moving in Y-Z plane is given by $S = 2t^{2}\hat{j} + 5\hat{k}$ (where t is in second). The magnitude and direction of velocity of the ant at t = 1s will be
A.
16 m/s in y-direction
B.
4 m/s in x-direction
C.
9 m/s in z-direction
D.
4 m/s in y-direction
JEE (Main) Jan. 2024 Q7 Errorless 5. Critical Thinking MCQ
A body starts moving from rest with constant acceleration covers displacement $S_{1}$ in first $(p-1)$ seconds and $S_{2}$ in first p seconds. The displacement $S_{1} + S_{2}$ will be made in time
A.
$(2p+1)s$
B.
$\sqrt{(2p^{2}-2p+1)s}$
C.
$(2p-1)s$
D.
$(2p^{2}-2p+1)s$
JEE (Main) Jan. 2024 Q8 Errorless 5. Critical Thinking MCQ
If the radius of curvature of the path of two particles of same mass are in the ratio 3:4, then in order to have constant centripetal force, their velocities will be in the ratio of
A.
$\sqrt{3}:2$
B.
$1:\sqrt{3}$
C.
$\sqrt{3}:1$
D.
$2:\sqrt{3}$
JEE (Main) Jan. 2024 Q9 Errorless 5. Critical Thinking MCQ
A ball of mass 0.5 kg is attached to a string of length 50 cm. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is 400 N. The maximum possible value of angular velocity of the ball in rad/s is
A.
1600
B.
40
C.
1000
D.
20
JEE (Main) Jan. 2024 Q10 Errorless 5. Critical Thinking MCQ
A stone of mass 900g is tied to a string and moved in a vertical circle of radius 1m making 10 rpm. The tension in the string, when the stone is at the lowest point is (if $\pi^{2}=9.8$ and $g=9.8m/s^{2}$ )
A.
97 N
B.
9.8 N
C.
8.82 N
D.
17.8 N
JEE (Main) Jan. 2024 Q11 Errorless 5. Critical Thinking MCQ
A train is moving with a speed of 12 m/s on rails which are 1.5 m apart. To negotiate a curve radius 400 m, the height by which the outer rail should be raised with respect to the inner rail is (Given, $g = 10 \, m/s^{2}$ )
A.
6.0 cm
B.
5.4 cm
C.
4.8 cm
D.
4.2 cm
JEE (Main) April 2024 Q12 Errorless 5. Critical Thinking MCQ
The co-ordinates of a particle moving in x-y plane are given by $x = 2 + 4t, y = 3t + 8t^{2}$ . The motion of the particle is
A.
Non-uniformly accelerated
B.
Uniformly accelerated having motion along a straight line
C.
Uniform motion along a straight line
D.
Uniformly accelerated having motion along a parabolic path
JEE (Main) April 2024 Q13 Errorless 5. Critical Thinking MCQ
The angle of projection for a projectile to have same horizontal range and maximum height is
A.
$\tan^{-1}(2)$
B.
$\tan^{-1}(4)$
C.
$\tan^{-1}\left(\frac{1}{4}\right)$
D.
$\tan^{-1}\left(\frac{1}{2}\right)$
JEE (Main) April 2024 Q14 Errorless 5. Critical Thinking MCQ
A clock has 75 cm, 60 cm long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will travel x distance more than the tip of minute hand. The value of x in meter is nearly (Take $\pi = 3.14$ )
A.
139.4
B.
140.5
C.
220.0
D.
118.9
JEE (Main) April 2024 Q15 Errorless 5. Critical Thinking MCQ
A cyclist starts from the point P of a circular ground of radius 2 km and travels along its circumference to the point S. The displacement of a cyclist is
A.
$6km$
B.
$\sqrt{8} km$
C.
$4km$
D.
$8km$
JEE (Main) April 2024 Q16 Errorless 5. Critical Thinking MCQ
A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius 9m and completes 120 revolutions in 3 minutes. The magnitude of centripetal acceleration of monkey is (in $m/s^{2}$ )
A.
Zero
B.
$16\pi^{2}ms^{-2}$
C.
$4\pi^{2}ms^{-2}$
D.
$57600\pi^{2}ms^{-2}$
JEE (Main) Jan. 2023 Q17 Errorless 5. Critical Thinking MCQ
The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is
A.
192 m
B.
136 m
C.
272 m
D.
68 m
JEE (Main) Jan. 2023 Q18 Errorless 5. Critical Thinking MCQ
Two objects are projected with same velocity 'u' however at different angles $\alpha$ and $\beta$ with the horizontal. If $\alpha + \beta = 90^{\circ}$ , the ratio of horizontal range of the first object to the $2^{nd}$ object will be
A.
4:1
B.
2:1
C.
1:2
D.
1:1
JEE (Main) Jan. 2023 Q19 Errorless 5. Critical Thinking MCQ
A stone is projected at angle $30^{\circ}$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be
A.
1:2
B.
1:4
C.
4:1
D.
4:3
JEE (Main) Jan. 2023 Q20 Errorless 5. Critical Thinking MCQ
An object moves at a constant speed along a circular path in a horizontal plane with centre at the origin. When the object is at $x = +2m$ , its velocity is $-4\hat{j}m / s$ . The object's velocity ( $v$ ) and acceleration ( $a$ ) at $x = -2m$ will be
A.
$v = 4\hat{i}m / s, a = 8\hat{j}m / s^2$
B.
$v = 4\hat{j}m / s, a = 8\hat{i}m / s^2$
C.
$v = -4\hat{j}m / s, a = 8\hat{i}m / s^2$
D.
$v = -4\hat{i}m / s, a = -8\hat{j}m / s^2$
JEE (Main) Jan. 2023 Q21 Errorless 5. Critical Thinking MCQ
A ball of mass 200 g rests on a vertical post of height 20 m. A bullet of mass 10 g, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance 30 m and the bullet at a distance of 120 m from the foot of the post. The value of initial velocity of the bullet will be (if $g = 10 \, m/s^{2}$ )
A.
120 m/s
B.
60 m/s
C.
400 m/s
D.
360 m/s
JEE (Main) Jan. 2023 Q22 Errorless 5. Critical Thinking MCQ
The initial speed of a projectile fired form ground is u. At the highest point during its motion, the speed of projectile $\frac{\sqrt{3}}{2}u$ . The time of flight of the projectile is
A.
$\frac{u}{2g}$
B.
$\frac{u}{g}$
C.
$\frac{2u}{g}$
D.
$\frac{\sqrt{3}u}{g}$
JEE (Main) Jan. 2023 Q23 Errorless 5. Critical Thinking MCQ
A body is moving with constant speed, in a circle of radius 10m. The body completes one revolution in 4s. At the end of 3rd second, the displacement of body (in m) from its starting point is
A.
30
B.
$15\pi$
C.
$5\pi$
D.
$10\sqrt{2}$
JEE (Main) Jan. 2023 Q24 Errorless 5. Critical Thinking MCQ
For a body projected at an angle with the horizontal from the ground, choose the correct statement
A.
Gravitational potential energy is maximum at the highest point
B.
The horizontal component of velocity is zero at highest point
C.
The vertical component of momentum is maximum at the highest point
D.
The kinetic energy (K.E.) is zero at the highest point of projectile motion
JEE (Main) April 2023 Q25 Errorless 5. Critical Thinking MCQ
Two projectiles are projected at $30^{\circ}$ and $60^{\circ}$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is
A.
$2:\sqrt{3}$
B.
$\sqrt{3}:1$
C.
1:3
D.
$1:\sqrt{3}$