Q JEE MAIN_2026

Two identical bodies A and B of equal masses have initial velocities $\vec{v}_1=4 \hat{i} \mathrm{~m} / \mathrm{s}$ and $...

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Q JEE MAIN_2026

The position of center of mass of three masses $2 \mathrm{~kg}, 3 \mathrm{~kg}$ and 15 kg placed with respect to...

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Q JEE MAIN_2026

Two blocks of masses 2 kg and 1 kg respectively, are tied to the ends of a string which passes...

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Q JEE Advance 2021

A pendulum consists of a bob of mass $\mathrm{m}=0.1 \mathrm{~kg}$ and a massless inextensible string of length $\mathrm{L}=1.0 \mathrm{~m}$. It...

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Q JEE MAIN 2026

A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio...

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Q JEE MAIN 2026

Given below are two statements : Statement I : For a mechanical system of many particles total kinetic energy is...

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Q JEE MAIN 2020

A particle of mass $m$ with an initial velocity $u \hat{i}$ collides perfectly elastically with a mass 3 m at...

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Q JEE MAIN 2020

A particle of mass $m$ is moving along the $x$-axis with initial velocity $u \hat{i}$. It collides elastically with a...

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Q JEE MAIN 2020

A square shaped hole of side $I=\frac{a}{2}$ is carved out at a distance $d=\frac{a}{2}$ from the centre ' $O$ '...

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Q JEE MAIN_2019_

Two particles of masses M and 2 M, moving, as shown, with speeds of $10 \mathrm{~m} / \mathrm{s}$ and $...

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Q JEE MAIN 2019

Three particles of masses, 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle...

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Q JEE MAIN 2019

A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move...

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Q JEE MAIN 2020

Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They...

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Q JEE MAIN 2020

The centre of mass of a solid hemisphere of radius 8 cm is x cm from the centre of the...

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Q JEE MAIN 2020

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Q JEE MAIN 2020

A body $A$, of mass $m=0.1 \mathrm{~kg}$ has an initial velocity of $3 \hat{i} \mathrm{~ms}^{-1}$. It collides elastically with another...

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Q JEE MAIN 2020

The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4 kg. (The...

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Q JEE Main 2019

A piece of wood of mass 0.03 kg is dropped from the top of a 100 m height building. At...

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Q JEE MAIN 2020

Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of...

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Q JEE MAIN 2020

A particle of mass $m$ is projected with a speed $u$ from the ground at an angle $\theta=\pi / 3$...

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Q JEE-MAIN 2020

A block of mass 1.9 kg is at rest at the edge of a table, of height 1m. A bullet...

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Q JEE MAIN 2020

A rod of length $L$ has non-uniform linear mass density given by $$ \rho(\mathrm{x})=\mathrm{a}+\mathrm{b}\left(\frac{\mathrm{x}}{\mathrm{~L}}\right)^2 $$ , where a and b...

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Q JEE MAIN 2020

As shown in fig. when a spherical cavity (centred at O) of radius 1 is cut out of a uniform...

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Q JEE MAIN 2020

A particle of mass m is dropped from a height $h$ above the ground. At the same time another particle...

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Q JEE MAIN 2019

A particle of mass ‘m’ is moving with speed ‘2v’ and collides with a mass ‘2m’ moving with speed ‘v’...

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Q JEE MAIN 2019

A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge...

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Q JEE MAIN 2020

Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right...

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Q JEE-MAIN 2021

A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils...

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Q JEE MAIN 2021

A body of mass $M$ moving at speed $V_0$ collides elastically with a mass ' $m$ ' at rest. After...

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Q JEE MAIN 2019

Four particles $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and D with masses $\mathrm{m}_{\mathrm{A}}=\mathrm{m}$, $\mathrm{m}_{\mathrm{B}}=2 \mathrm{~m}, \mathrm{~m}_{\mathrm{C}}=3 \mathrm{~m}$ and $\mathrm{m}_{\mathrm{D}}=4 \mathrm{~m}$ are at the...

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Q JEE MAIN 2021

The initial mass of a rocket is 1000 kg . Calculate at what rate the fuel should be burnt so...

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Q JEE-MAIN 2021

A bomb is dropped by fighter plane flying horizontally. To an observer sitting in the plane, the trajectory of the...

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Q JEE-MAIN 2021

A body of mass 2 kg moving with a speed of $4 \mathrm{~m} / \mathrm{s}$. makes an elastic collision with...

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Q JEE-MAIN 2021

The minimum and maximum distances of a planet revolving around the Sun are $x_1$ and $x_2$. If the minimum speed...

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Q JEE MAIN 2021

The position of the centre of mass of a uniform semi-circular wire of radius ' $R$ ' placed in $x-y$...

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Q JEE-MAIN 2021

Two billard balls of equal mass 30 g strike a rigid wall with same speed of 108 kmph (as shown)...

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Q JEE MAIN 2021

A bullet of ' 4 g ' mass is fired from a gun of mass 4 kg . If the...

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Q JEE MAIN 2021

Three objects A, B and C are kept in a straight line on a frictionless horizontal surface. The masses of...

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Q JEE MAIN 2019

A uniform rectangular thin sheet ABCD of mass M has length a and breadth b, as shown in the figure....

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Q JEE MAIN 2019

A body of mass $m_1$ moving with an unknown velocity of $v_1 \hat{i}$, undergoes a collinear collision with a body...

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Q JEE MAIN 2021

An object of mass $m_1$ collides with another object of mass $m_2$, which is at rest. After the collision the...

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Q JEE-MAIN 2021

The disc of mass $M$ with uniform surface mass density $s$ is shown in the figure. The centre of mass...

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Q JEE Main 2019

An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure....

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Q JEE Main 2019

Three blocks $A, B$ and $C$ are lying on a smooth horizontal surface, as shown in the figure. $A$ and...

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Q JEE MAIN 2021

A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising...

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Q JEE MAIN 2021

A large block of wood of mass $\mathrm{M}=5.99 \mathrm{~kg}$ is hanging from two long massless cords. A bullet of mass...

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Q JEE MAIN 2021

A ball of mass 10 kg moving with a velocity $10 \sqrt{3} \mathrm{~m} / \mathrm{s}$ along the x-axis, hits another...

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Q JEE MAIN 2021

Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the...

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Q JEE-MAIN 2021

A ball of mass 10 kg moving with a velocity $10 \sqrt{3} \mathrm{~ms}^{-1}$ along $X$-axis, hits another ball of mass...

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Q JEE MAIN 2021

A ball will a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction...

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Q JEE MAIN 2021

Two masses A and B, each of mass $M$ are fixed together by a massless spring. $A$ force acts on...

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Q JEE MAIN 2021

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R....

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Q JEE MAIN 2021

A circular hole of radius $\left(\frac{a}{2}\right)$ is cut out of a circular disc of radius ' $a$ ' as shown...

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Q JEE MAIN 2022

Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular...

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Q JEE MAIN 2022

The distance of centre of mass from end $A$ of a one dimensional rod (AB) having mass density $...

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Q JEE MAIN 2022

A ball of mass 0.15 kg hits the wall with its initial speed of $12 \mathrm{~ms}^{-1}$ and bounces back without...

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Q JEE Main 2022

A balloon has mass of 10 g in air. The air escapes from the balloon at a uniform rate with...

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Q JEE MAIN 2022

As per the given figure, two blocks each of mass 250g are connected to a spring of spring constant $...

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Q JEE Main 2022

In two different experiments, an object of mass 5 kg moving with a speed of $25 \mathrm{~ms}^{-1}$ hits two different...

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Q JEE MAIN 2022

Two billiard balls of mass 0.05 kg each moving in opposite directions with 10 ms–1 collide and rebound with the...

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Q JEE MAIN 2022

Two bodies of mass 1 kg and 3 kg have position vectors $\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $-3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}}$ respectively. The...

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Q JEE MAIN 2022

A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction...

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Q JEE MAIN 2022

Sand is being dropped from a stationary dropper at a rate of $0.5 \mathrm{kgs}^{-1}$ on a conveyor belt moving with...

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Q JEE MAIN 2022

A bullet is shot vertically downwards with an initial velocity of 100 m/s from a certain height. Within 10 s,...

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Q JEE MAIN 2022

A rolling wheel of 12 kg is on an inclined plane at position P and connected to a mass of...

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Q JEE MAIN 2022

A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its...

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Q JEE MAIN 2022

A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75...

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Q JEE MAIN 2022

A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass...

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Q JEE MAIN 2022

What percentage of kinetic energy of a moving particle is transferred to a stationary particle when it strikes the stationary...

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Q JEE MAIN 2022

Two blocks of masses 10 kg and 30 kg are placed on the same straight line with coordinates (0, 0)...

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Q JEE Main 2022

A body of mass $M$ at rest explodes into three pieces, in the ratio of masses $1: 1: \mid 2$....

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Q JEE MAIN_2023

A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision,...

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Q JEE MAIN_2025

Consider two blocks A and B of masses $m_1=10 \mathrm{~kg}$ and $m_2=5 \mathrm{~kg}$ that are placed on a frictionless table....

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Q JEE MAIN 2023

A body of mass 5 kg is moving with a momentum of $10 \mathrm{~kg} \mathrm{~ms}^{-1}$. Now a force of 2...

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Q JEE MAIN 2023

The current flowing through R2 is:

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Q JEE MAIN 2023

A bullet of mass 0.1 kg moving horizontally with speed $400 \mathrm{~ms}^{-1}$ hits a wooden block of mass 3.9 kg...

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Q JEE MAIN 2023

A ball is dropped from a height of 20 m. If the coefficient of restitution for the collision between ball...

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Q JEE MAIN 2023

A machine gun of mass 10 kg fires 20 g bullets at the rate of 180 bullets per minute with...

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Q JEE MAIN 2023

A bullet 10 g leaves the barrel of gun with a velocity of 600 m/s. If the barrel of gun...

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Q JEE MAIN 2023

An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at...

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Q JEE MAIN 2023

A particle of mass m moving with velocity v collides with a stationary particle of mass 2m. After collision, they...

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Q JEE MAIN 2024

A uniform thin metal plate of mass with dimensions is shown. The ratio of x and y coordinates of center...

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Q JEE MAIN 2023

A ball of mass 200 g rests on a vertical post of height 20 m . A bullet of mass...

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Q JEE MAIN 2023

100 balls each of mass m moving with speed v simultaneously strike a wall normally and reflected back with same...

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Q JEE MAIN 2023

As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other...

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Q JEE MAINS 2024

A body starts falling freely from height H hits an inclined plane in its path at height h. As a...

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Q JEE MAINS 2024

An artillery piece of mass M_1 fires a shell of mass M_2 horizontally. Instantaneously after the firing, the ratio of...

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Q JEE MAIN

The identical spheres each of mass 2M are placed at the corners of a right angled triangle with mutually perpendicular...

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Q JEE MAIN

A simple pendulum of length 1" " m has a wooden bob of mass 1" " kg. It is struck...

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Q JEE-Main_2024

A spherical body of mass 100" " g is dropped from a height of 10" " m from the ground....

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Q JEE MAIN 2024

A body of mass 1000 kg is moving horizontally with a velocity 6 m/s. If 200 kg extra mass is...

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Q JEE MAIN 2025

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion...

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Q JEE MAIN 2025

A sand dropper drops sand of mass $m(t)$ on a conveyer belt at a rate proportional to the square root...

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Q JEE MAIN 2025

A rod of length 5 L is bent right angle keeping one side length as 2 L .

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Q JEE MAIN 2025

As shown below, bob A of a pendulum having massless string of length 'R' is released from ${60^\circ}$ to the...

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Q JEE MAIN 2025

The centre of mass of a thin rectangular plate (fig - x) with sides of length a and b, whose...

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Q JEE MAIN 2025

Consider a circular disc of radius 20 cm with centre located at the origin. A circular hole of radius 5...

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