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Kinematics-2D

257 Questions Start Errorless Test
All Exams Allen Objective Errorless
IIT-JEE 2012 Q76 Errorless 5. Critical Thinking MCQ
A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed $\omega$ . If the angular momentum of the system, calculated about O and P are denoted by $\vec{L}_{O}$ and $\vec{L}_{P}$ respectively, then
A.
$\vec{L}_O$ and $\vec{L}_P$ do not vary with time
B.
$\vec{L}_O$ varies with time while $\vec{L}_P$ remains constant
C.
$\vec{L}_{O}$ remains constant while $\vec{L}_{P}$ varies with time
D.
$\vec{L}_O$ and $\vec{L}_P$ both vary with time
IIT JEE 2012 Q77 Errorless 6. Graphical Questions MCQ
Two identical discs of same radius $R$ are rotating about their axes in opposite directions with the same constant angular speed $\omega$ . The discs are in the same horizontal plane. At time $t = 0$ , the points $P$ and $Q$ are facing each other as shown in the figure. The relative speed between the two points $P$ and $Q$ is $V_r$ as function of times best represented by
A.
B.
C.
D.
CBSE PMT (Pre.) 2011 Q78 Errorless 1. Uniform Circular Motion MCQ
A particle moves in a circle of radius $5\mathrm{cm}$ with constant speed and time period $0.2\pi s$ . The acceleration of the particle is
A.
$5m / s^2$
B.
$15m / s^2$
C.
$25m / s^2$
D.
$36m / s^2$
CBSE PMT (Mains) 2011 Q79 Errorless 4. Oblique Projectile Motion MCQ
A projectile is fired at an angle of $45^{\circ}$ with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is
A.
$\tan^{-1}\left(\frac{\sqrt{3}}{2}\right)$
B.
$45^{\circ}$
C.
$60^{\circ}$
D.
$\tan^{-1}\frac{1}{2}$
Kerala PET 2011 Q80 Errorless 4. Oblique Projectile Motion MCQ
A particle crossing the origin of co-ordinates at time t=0, moves in the xy-plane with a constant acceleration a in the y-direction. If its equation of motion is $y=bx^{2}$ (b is a constant), its velocity component in the x-direction is
A.
$\sqrt{\frac{2b}{a}}$
B.
$\sqrt{\frac{a}{2b}}$
C.
$\sqrt{\frac{a}{b}}$
D.
$\sqrt{\frac{b}{a}}$
E.
$\sqrt{ba}$
Kerala PET 2011 Q81 Errorless 4. Oblique Projectile Motion MCQ
Two projectiles A and B thrown with speeds in the ratio $1:\sqrt{2}$ acquired the same heights. If A is thrown at an angle of $45^{\circ}$ with the horizontal, the angle of projection of B will be
A.
$0^{\circ}$
B.
$60^{\circ}$
C.
$30^{\circ}$
D.
$45^{\circ}$
E.
$15^{\circ}$
CBSE PMT (Pre.) 2011 Q82 Errorless 4. Oblique Projectile Motion MCQ
A missile is fired for maximum range with an initial velocity of 20 m/s. If $g = 10 \, m/s^{2}$ , the range of the missile is
A.
20 m
B.
40 m
C.
50 m
D.
60 m
Odisha JEE 2010 Q83 Errorless 1. Uniform Circular Motion MCQ
The earth moves round the sun in a near circular orbit of radius $1.5 \times 10^{11} m$ . Its centripetal acceleration is
A.
$1.5 \times 10^{-3} m / s^2$
B.
$3 \times 10^{-3} m / s^2$
C.
$6 \times 10^{-3} m / s^2$
D.
$12 \times 10^{-3} m / s^2$
Kerala PMT 2010 Q84 Errorless 1. Uniform Circular Motion MCQ
Centripetal acceleration is
A.
A constant vector
B.
A constant scalar
C.
A magnitude changing vector
D.
Not a constant vector
E.
Time dependent scalar
J & K CET 2010 Q85 Errorless 1. Uniform Circular Motion MCQ
If a car is to travel with a speed v along the frictionless, banked circular track of radius r, the required angle of banking so that the car does skid is
A.
$\theta = \tan^{-1}\left(\frac{v^{2}}{rg}\right)$
B.
$\theta = \tan^{-1}\left(\frac{v}{rg}\right)$
C.
$\theta = \tan^{-1}\left(\frac{r^{2}}{vg}\right)$
D.
$\theta < \tan^{-1}\left(\frac{v^{2}}{rg}\right)$
J & K CET 2010 Q86 Errorless 1. Uniform Circular Motion MCQ
Which one of the following statements is not correct in uniform circular motion
A.
The speed of the particle remains constant
B.
The acceleration always points towards the centre
C.
The angular speed remains constant
D.
The velocity remains constant
AIIMS 2010 Q87 Errorless 2. Non-uniform Circular Motion MCQ
A 1 kg stone at the end of 1 m long string is whirled in a vertical circle at constant speed of 4 m/sec. The tension in the string is 6 N, when the stone is at $(g = 10 \, m/sec^{2})$
A.
Top of the circle
B.
Bottom of the circle
C.
Half way down
D.
None of the above
AMU (Med.) 2010 Q88 Errorless 2. Non-uniform Circular Motion MCQ
A particle originally at rest at the highest point of a smooth vertical circle is slightly displaced. It will leave the circle at a vertical distance h below the highest point such that
A.
$h = R$
B.
$h = \frac {R}{3}$
C.
$h = \frac {R}{2}$
D.
$h = \frac {2 R}{3}$
WB-JEE 2010 Q89 Errorless 3. Horizontal Projectile Motion MCQ
A ball is projected horizontally with a velocity of 5 m/s from the top of a building 19.6 m high. How long will the ball take to hit the ground
A.
$\sqrt{2}$ s
B.
2 s
C.
$\sqrt{3}$ s
D.
3 s
AIEEE 2010 Q90 Errorless 4. Oblique Projectile Motion MCQ
A small particle of mass m is projected at an angle $\theta$ with the x-axis with an initial velocity $v_{0}$ in the x-y plane as shown in the figure. At a time $t < \frac{v_{0} \sin \theta}{g}$ , the angular momentum of the particle is where $\hat{i},\hat{j}$ and $\hat{k}$ are unit vectors along x, y and z-axis respectively
A.
$\frac{1}{2} mgv_0t^2\cos \theta \hat{i}$
B.
$-mgv_{0}t^{2}\cos \theta \hat{j}$
C.
$mgv_{0}t\cos \theta \hat{k}$
D.
$-\frac{1}{2} mgv_0t^2\cos \theta \hat{k}$
J & K CET 2010 Q91 Errorless 4. Oblique Projectile Motion MCQ
An object is projected so that its horizontal range R is maximum. If the maximum height attained by the object is H, then the ratio of R/H is
A.
4
B.
1/4
C.
2
D.
1/2
WB-JEE 2010 Q92 Errorless 4. Oblique Projectile Motion MCQ
A body is projected with a speed $u$ m/s at an angle $\beta$ with the horizontal. The kinetic energy at the highest point is $\frac{3}{4}th$ of the initial kinetic energy. The value of $\beta$ is
A.
$30^{\circ}$
B.
$45^{\circ}$
C.
$60^{\circ}$
D.
$120^{\circ}$
CBSE PMT (Mains) 2010 Q93 Errorless 4. Oblique Projectile Motion MCQ
The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
A.
$60^{\circ}$
B.
$15^{\circ}$
C.
$30^{\circ}$
D.
$45^{\circ}$
AIEEE 2010; JEE (Main) 2019 Q94 Errorless 5. Critical Thinking MCQ
A particle is moving with velocity $\vec{v} = K(y\hat{i} + x\hat{j})$ , where $K$ is a constant. The general equation for its path is
A.
$y^{2} = x^{2} + \text{constant}$
B.
$y = x^{2} + \text{constant}$
C.
$y^{2} = x + \text{constant}$
D.
$xy = \text{constant}$
AIEEE 2010 Q95 Errorless 5. Critical Thinking MCQ
A point $P$ moves in counter-clockwise direction on a circular path as shown in the figure. The movement of 'P' is such that it sweeps out a length $s = t^3 + 5$ , where $s$ is in metres and $t$ is in seconds. The radius of the path is $20\,m$ . The acceleration of 'P' when $t = 2\,s$ is nearly
A.
$14m / s^2$
B.
$13m / s^2$
C.
$12m / s^2$
D.
$7.2m / s^2$
AIIMS 2010 Q96 Errorless 7. Assertion and Reason MCQ
Assertion : A safe turn by a cyclist should neither be fast nor sharp. Reason : The bending angle from the vertical would decrease with increase in velocity.
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.
Kerala PET 2010 Q97 Errorless 8. Self Evaluation Test MCQ
A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)
A.
$\frac{4v^{2}}{5g}$
B.
$\frac{4g}{5v^{2}}$
C.
$\frac{v^{2}}{g}$
D.
$\frac{4v^{2}}{\sqrt{5}g}$
MP PMT 2009 Q98 Errorless 1. Uniform Circular Motion MCQ
Which one is Angular resolution fundamental quantity
A.
Length
B.
Time
C.
Radian
D.
Angle
DUMET 2009 Q99 Errorless 1. Uniform Circular Motion MCQ
An object moves at a constant speed along a circular path in a horizontal XY plane, with the centre at the origin. When the object is at $x = -2m$ , its velocity is $-(4m / s)\hat{j}$ . What is the object's acceleration when it is $y = 2m$
A.
$-(8m / s^2)\hat{j}$
B.
$-(8m / s^2)\hat{i}$
C.
$-(4m / s^2)\hat{j}$
D.
$(4m / s^2)\hat{i}$
MP PMT 2009 Q100 Errorless 3. Horizontal Projectile Motion MCQ
Ratio between maximum range and square of time of flight in projectile motion is
A.
10:49
B.
49:10
C.
98:10
D.
10:98