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Numerical

JEE Advanced 2023 Paper 1 Online
A person of height $1.6 \mathrm{~m}$ is walking away from a lamp post of height $4 \mathrm{~m}$ along a straight path on the flat ground. The lamp pos...
JEE Advanced 2022 Paper 1 Online
A projectile is fired from horizontal ground with speed $v$ and projection angle $\theta$. When the acceleration due to gravity is $g$, the range of t...
JEE Advanced 2019 Paper 2 Offline
A ball is thrown from ground at an angle $$\theta $$ with horizontal and with an initial speed u0. For the resulting projectile motion, the magnitude ...
JEE Advanced 2018 Paper 2 Offline
A ball is projected from the ground at an angle of $${45^o}$$ with the horizontal surface. It reaches a maximum height of $$120$$ $$m$$ and returns to...
JEE Advanced 2014 Paper 1 Offline
Airplanes A and B are flying with constant velocity in the same vertical plane at angles $$30^\circ $$ and $$60^\circ $$ with respect to the horizonta...
JEE Advanced 2014 Paper 1 Offline
A rocket is moving in a gravity free space with a constant acceleration of 2 ms–2 along + x direction (see figure). The length of a chamber inside the...
IIT-JEE 2011 Paper 2 Offline
A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a ball forward with a speed of 10 m/s, at...

MCQ (More than One Correct Answer)

JEE Advanced 2020 Paper 2 Offline
Starting at time t = 0 from the origin with speed 1 ms-1, a particle follows a two-dimensional trajectory in the x-y plane so that its coordinates are...
IIT-JEE 1999 Screening
The coordinates of a particle moving in a plane are given by x(t) = a cos(pt) and y(t) = b sin(pt) where a, b (< a) and p are positive constants of...
IIT-JEE 1993
A particle of mass m moves on the x-axis as follows: it starts from rest at t = 0 from the point x = 0, and come to rest at t = 1 at the point x = 1. ...
IIT-JEE 1982
A particle is moving eastwards with a velocity of 5 m/s. In 10s the velocity changes to 5 m/s northwards. The average acceleration in this time is

MCQ (Single Correct Answer)

JEE Advanced 2017 Paper 2 Offline
Consider an expanding sphere of instantaneous radius R whose total mass remains constant. The expansion is such that the instantaneous density $$\rho ...
JEE Advanced 2017 Paper 2 Offline
Three vectors $$\overrightarrow P ,\overrightarrow Q $$ and $$\overrightarrow R $$ are shown in the figure. Let $$S$$ be any point on the vector $$\o...
IIT-JEE 2008 Paper 2 Offline
STATEMENT-1: For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the...
IIT-JEE 2004 Screening
A particle starts sliding down a frictionless inclined plane. If Sn is the distance traveled by it from time t = n - 1 sec to t = n sec, the ratio Sn ...
IIT-JEE 2004 Screening
A body starts from rest at time t = 0, the acceleration time graph is shown in the figure. The maximum velocity attained by the body will be ...
IIT-JEE 1988
A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest possible path in 15 minutes. The velocity of the r...
IIT-JEE 1983
A river is flowing from west to east at a speed of 5 meters per minute. A man on the south bank of the river, capable of swimming at 10 meters per min...

Subjective

IIT-JEE 1996
Two guns, situated on the top of a hill of height 10 m, fire one shot each with the same speed $$5\sqrt 3 $$ m s-1 at some interval of time. One gun f...
IIT-JEE 1979
The dispalcement x of particle moving in one direction, under the action of a constant force is related to the time t by the equation $$t = \sqrt x +...
IIT-JEE 1979
Answer the following giving reason in brief: Is the time variation of position, shown in the figure observed in nature? ...
IIT-JEE 1978
A car accelerates from rest at a constant rate $$\alpha $$ for some time after which it decelerates at a constant rate $$\beta $$ to come to rest. If ...

True or False

IIT-JEE 1985
Two identical trains are moving on rails along the equator on the earth in opposite directions with the same speed. They will exert the same pressure ...
IIT-JEE 1984
A projectile fired from the ground follows a parabolic path. The speed of the projectile is minimum at the top of its path.
IIT-JEE 1983
Two balls of different masses are thrown vertically upwards with the same speed. They pass through the point of projection in their downward motion wi...

Fill in the Blanks

IIT-JEE 1984
Four person K, L, M, N are initially at the four corners of a square of side d. Each person now moves with a uniform speed v in such a way that K alwa...
IIT-JEE 1983
A particle moves in a circle of radius R. In half the period of revolution its displacement is ________ and distance covered is _________.
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