# Motion in a Plane · Physics · NEET

Start Practice## MCQ (Single Correct Answer)

NEET 2024 (Re-Examination)

A bob is whirled in a horizontal circle by means of a string at an initial speed of $$10 \mathrm{~rpm}$$. If the tension in the string is quadrupled w...

NEET 2024 (Re-Examination)

Let $$\omega_1, \omega_2$$ and $$\omega_3$$ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, res...

NEET 2023 Manipur

A ball is projected from point A with velocity $$20 \mathrm{~m} \mathrm{~s}^{-1}$$ at an angle $$60^{\circ}$$ to the horizontal direction. At the high...

NEET 2023 Manipur

A particle is executing uniform circular motion with velocity $$\vec{v}$$ and acceleration $$\vec{a}$$. Which of the following is true?

NEET 2023

A bullet is fired from a gun at the speed of $$280 \mathrm{~ms}^{-1}$$ in the direction $$30^{\circ}$$ above the horizontal. The maximum height attain...

NEET 2023

A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity $$4 \mathrm{~m} \...

NEET 2022 Phase 2

A cricket ball is thrown by a player at a speed of 20 m/s in a direction 30$$^\circ$$ above the horizontal. The maximum height attained by the ball du...

NEET 2022 Phase 1

A ball is projected with a velocity, 10 ms$$-$$1, at an angle of 60$$^\circ$$ with the vertical direction. Its speed at the highest point of its traje...

NEET 2021

A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution. If this particle were projected with the sam...

NEET 2021

A car starts from rest and accelerates at 5m/s2. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity an...

NEET 2019

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60o with horizontal, it can travel a distance x1 along the pla...

NEET 2019

A particle moving with velocity
$$\overrightarrow V $$ is acted by three forces shown by the vector triangle PQR. The velocity of the particle will :...

NEET 2017

The x and y coordinates of the particle at any time are x = 5t $$-$$ 2t2 and y = 10t respectively, where x and y are in metres and t in seconds. The ...

NEET 2016 Phase 2

In the given figure, a = 15 m s$$-$$2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m ...

NEET 2016 Phase 1

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is

NEET 2016 Phase 1

A particle moves so that its position vector is given by $$\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omega t\,\widehat y,$$ where $$\om...

AIPMT 2015

If vectors $$\overrightarrow A = \cos \omega t\widehat i + \sin \omega t\widehat j$$ and $$\overrightarrow B = \cos {{\omega t} \over 2}\widehat i +...

AIPMT 2015

The positions vector of a particle $$\overrightarrow R $$ as a function of time is given by $$\overrightarrow R $$ = 4sin(2$$\pi $$t)$$\widehat i$$ + ...

AIPMT 2015 Cancelled Paper

A ship A is moving Westwards with a speed of 10 km h$$-$$1 and a ship B 100 km South of A, is moving Northwards with a speed of 10 km h$$-$$1. The tim...

AIPMT 2014

A projectile is fired from the surface of the earth with a velocity of 5 m s$$-$$1 and angle $$\theta $$
with the horizontal. Another projectile fi...

AIPMT 2014

A particle is moving such that is position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m)
at time t = 2 s and (13 m, 14 m) at time t = 5...

NEET 2013 (Karnataka)

Vectors $$\overrightarrow A ,\overrightarrow B $$ and $$\overrightarrow C $$ are such that $$\overrightarrow A .\overrightarrow B = 0$$ and $$\overri...

NEET 2013

The velocity of a projectile at the initial point A is $$\left( {2\widehat i + 3\widehat j} \right)$$ m/s. It's velocity (in m/s) at point B is
...

AIPMT 2012 Prelims

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

AIPMT 2012 Prelims

A particle has initial velocity $$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$ and acceleration $$\left( {0.3\overrightarrow i + 0.2\...

AIPMT 2011 Mains

A projectile is fired at an angle of 45o with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of project...

AIPMT 2011 Prelims

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2$$\pi $$ s. The acceleration of the particle is

AIPMT 2011 Prelims

A missile is fired for maximum range with an initial velocity of 20 m/s. If g = 10 m/s2, the range of the missile is

AIPMT 2011 Prelims

A body is moving with velocity 30 m/s towards east . After 10 seconds its velocity becomes 40 m/s towards north. The average acceleration of the bod...

AIPMT 2010 Mains

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

AIPMT 2010 Mains

A particle moves in x-y plane according to rule x = asin$$\omega $$t and y = acos$$\omega $$t. The particle follows

AIPMT 2010 Prelims

A particle has initial velocity $$\left( {3\widehat i + 4\widehat j} \right)$$ and has acceleration $$\left( {0.4\widehat j + 0.3\widehat j} \right).$...

AIPMT 2010 Prelims

Six vectors, $$\overrightarrow a $$ through $$\overrightarrow f $$ have the magnitudes and directions indicated in the figure. Which of the following ...

AIPMT 2008

A particle shows distance - time curve as given in this figure. The maximum instaneous velocity of the particle is around the point
...

AIPMT 2007

$$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors and $$\theta $$ is the angle between them, if $$\left| {\overrightarrow A \times \...

AIPMT 2007

A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later time are $$\left( {\sqrt 3 ,3} \r...

AIPMT 2006

For angles of projection of a projectile at angle (45o $$-$$ $$\theta $$) and (45o + $$\theta $$), the horizontal range described by the projectile ar...

AIPMT 2006

The vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ are such that $$\left| {\overrightarrow A + \overrightarrow B } \right| = \left| {\ove...

AIPMT 2005

Two boys are standing at the ends A and B of a ground where AB = a. The boy at B starts running in a direction perpendicular to AB with velocity v1...

AIPMT 2005

If the angle between the vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ is $$\theta $$, the value of the product $$\left( {\overrightarrow...

AIPMT 2005

If a vector $$2\widehat i + 3\widehat j + 8\widehat k$$ is perpendicular to the vector $$4\widehat j - 4\widehat i + \alpha \widehat k,$$ then the val...

AIPMT 2004

If $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \overrightarrow A .\overrightarrow B $$ then the value of $$\left| {\over...

AIPMT 2003

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

AIPMT 2002

A particle A is dropped from a height and another particle B is projected in horizontal direction with speed of 5/sec from the same height then correc...

AIPMT 2001

If $$\left| {\overrightarrow A + \overrightarrow B } \right| = \left| {\overrightarrow A } \right| + \left| {\overrightarrow B } \right|$$ then angle...

AIPMT 2001

Two particles having mass M and m are moving in a circular path having radius R and r. If their time period are same then the ratio of angular veloci...

AIPMT 2000

The width of river is 1 km. The velocity of boat is 5 km/hr. The boat covered the width of river in shortest time 15 min. Then the velocity of river s...

AIPMT 2000

Two projectiles of same mass and with same velocity are thrown at an angle 60o and 30o with the horizontal, then which will remain same ...

AIPMT 2000

A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as

## MCQ (More than One Correct Answer)

AIPMT 2005

A stone tied to the end of a string of 1 m long is whirled in a horizontal circle with a constant speed. If the stone makes 22 revoluations in 44 s...