## Numerical

More
An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is ...
JEE Main 2021 (Online) 1st September Evening Shift
A block moving horizontally on a smooth surface with a speed of 40 ms$$-$$1 splits into two equal parts. If one of the p...
JEE Main 2021 (Online) 31st August Morning Shift
Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces...
JEE Main 2021 (Online) 27th August Morning Shift
A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter lying on the table. If k is the ki...
JEE Main 2021 (Online) 26th August Morning Shift
A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height 'h' at which t...
JEE Main 2021 (Online) 27th July Evening Shift
A force of F = (5y + 20)$$\widehat j$$ N acts on a particle. The work done by this force when the particle is moved from...
JEE Main 2021 (Online) 25th July Evening Shift
In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs ar...
JEE Main 2021 (Online) 25th July Morning Shift
A ball of mass 4 kg, moving with a velocity of 10 ms$$-$$1, collides with a spring of length 8 m and force constant 100 ...
JEE Main 2021 (Online) 18th March Evening Shift
As shown in the figure, a particle of mass 10 kg is placed at a point A. When the particle is slightly displaced to its ...
JEE Main 2021 (Online) 18th March Morning Shift
A boy pushes a box of mass 2 kg with a force $$\overrightarrow F = \left( {20\widehat i + 10\widehat j} \right)N$$ on a...
JEE Main 2021 (Online) 26th February Morning Shift
The potential energy (U) of a diatomic molecule is a function dependent on r (interatomic distance) as $$U = {\alpha \o... JEE Main 2021 (Online) 25th February Morning Slot A body of mass 2 kg is driven by an engine delivering a constant power of 1 J/s. The body starts from rest and moves in ... JEE Main 2020 (Online) 5th September Evening Slot A block starts moving up an inclined plane of inclination 30o with an initial velocity of v0 . It comes back to its init... JEE Main 2020 (Online) 3rd September Evening Slot A body A, of mass m = 0.1 kg has an initial velocity of 3$$\widehat i$$ms-1 . It collides elastically with another body... JEE Main 2020 (Online) 8th January Morning Slot A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reachin... JEE Main 2020 (Online) 7th January Morning Slot ## MCQ (Single Correct Answer) More A body of mass 'm' dropped from a height 'h' reaches the ground with a speed of 0.8$$\sqrt {gh} $$. The value of workdon... JEE Main 2021 (Online) 1st September Evening Shift A block moving horizontally on a smooth surface with a speed of 40 m/s splits into two parts with masses in the ratio of... JEE Main 2021 (Online) 31st August Evening Shift An automobile of mass 'm' accelerates starting from origin and initially at rest, while the engine supplies constant pow... JEE Main 2021 (Online) 27th July Evening Shift Given below is the plot of a potential energy function U(x) for a system, in which a particle is in one dimensional moti... JEE Main 2021 (Online) 27th July Evening Shift A porter lifts a heavy suitcase of mass 80 kg and at the destination lowers it down by a distance of 80 cm with a consta... JEE Main 2021 (Online) 22th July Evening Shift A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by... JEE Main 2021 (Online) 20th July Evening Shift A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The ... JEE Main 2021 (Online) 18th March Morning Shift A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstac... JEE Main 2021 (Online) 17th March Morning Shift If two similar springs each of spring constant K1 are joined in series, the new spring constant and time period would be... JEE Main 2021 (Online) 26th February Morning Shift If the potential energy between two molecules is given by U =$$ - {A \over {{r^6}}} + {B \over {{r^{12}}}}$$, then at e... JEE Main 2020 (Online) 6th September Morning Slot A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Ther... JEE Main 2020 (Online) 4th September Evening Slot Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of mass m, moving with s... JEE Main 2020 (Online) 4th September Morning Slot A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block... JEE Main 2020 (Online) 3rd September Evening Slot A particle of mass m with an initial velocity$$u\widehat i$$collides perfectly elastically with a mass 3 m at rest. It... JEE Main 2020 (Online) 2nd September Morning Slot Consider a force$$\overrightarrow F = - x\widehat i + y\widehat j$$. The work done by this force in moving a particl... JEE Main 2020 (Online) 9th January Morning Slot An elevator in a building can carry a maximum of 10 persons, with the average mass of each person being 68 kg, The mass ... JEE Main 2020 (Online) 7th January Evening Slot As shown in the figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (d... JEE Main 2020 (Online) 7th January Morning Slot A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the... JEE Main 2020 (Online) 7th January Morning Slot A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths ... JEE Main 2019 (Online) 12th April Evening Slot A wedge of mass M = 4m lies on a frictionless plane. A particle of mass m approaches the wedge with speed v. There is no... JEE Main 2019 (Online) 9th April Evening Slot A massless spring (k = 800 N/m), attached with a mass (500 g) is completely immersed in 1 kg of water. The spring is str... JEE Main 2019 (Online) 9th April Evening Slot A uniform cable of mass 'M' and length 'L' is placed on a horizontal surface such that its (1/n)th part is hanging below... JEE Main 2019 (Online) 9th April Morning Slot The following bodies are made to roll up (without slipping) the same inclined plane from a horizontal plane. : (i) a rin... JEE Main 2019 (Online) 9th April Morning Slot A solid sphere and solid cylinder of identical radii approach an incline with the same linear velocity (see figure). Bot... JEE Main 2019 (Online) 8th April Evening Slot An alpha-particle of mass m suffers 1-dimensional elastic collision with a nucleus at rest of unknown mass. It is scatte... JEE Main 2019 (Online) 12th January Evening Slot A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the fig... JEE Main 2019 (Online) 12th January Evening Slot There is a uniform spherically symmetric surface charge density at a distance R0 from the origin. The charge distributio... JEE Main 2019 (Online) 12th January Morning Slot For the given cyclic process CAB as shown for a gas, the work done is : ... JEE Main 2019 (Online) 12th January Morning Slot A body of mass 1 kg falls freely from a height of 100 m, on a platform mass 3 kg which is mounted on a spring having spr... JEE Main 2019 (Online) 11th January Morning Slot A particle which is experiencing a force, given by$$\overrightarrow F = 3\widehat i - 12\widehat j,$$undergoes a disp... JEE Main 2019 (Online) 10th January Evening Slot A block of mass m is kept on a platform which starts from rest with constant acceleration g/2 upward, as shown in figure... JEE Main 2019 (Online) 10th January Morning Slot A force acts on a 2 kg object so that its position is given as a function of time as x = 3t2 + 5. What is the work done ... JEE Main 2019 (Online) 9th January Evening Slot Three blocks A, B and C are lying on a smooth horizontal surface, as shown in the figure. A and B have equal masses, m w... JEE Main 2019 (Online) 9th January Morning Slot A block of mass m, lying on a smooth horizontal surface, is attached to a sring (of negligible mass) of spring constant ... JEE Main 2019 (Online) 9th January Morning Slot Two particles of the same mass m are moving in circular orbits because of force, given by$$F\left( r \right) = {{ - 16}...
JEE Main 2018 (Online) 16th April Morning Slot
A body of mass m starts moving from rest along x-axis so that its velocity varies as $$\upsilon = a\sqrt s$$ where a i...
JEE Main 2018 (Online) 16th April Morning Slot
A proton of mass m collides elastically with a particle of unknown mass at rest. After the collision, the proton and th...
JEE Main 2018 (Online) 15th April Evening Slot
In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the fin...
JEE Main 2018 (Offline)
Two particles A and B of equal mass M are moving with the same speed $$\upsilon$$ as shown in the figure. They collide ...
JEE Main 2017 (Online) 9th April Morning Slot
An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy....
JEE Main 2017 (Online) 8th April Morning Slot
A body of mass m = 10–2 kg is moving in a medium and experiences a frictional force F = –kv2. Its initial speed is v0 = ...
JEE Main 2017 (Offline)
A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done by the fo...
JEE Main 2017 (Offline)
Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on the body in first two seconds of the motio...
JEE Main 2016 (Online) 10th April Morning Slot
A neutron moving with a speed ‘v’ makes a head on collision with a stationary hydrogen atom in ground state. The minimum...
JEE Main 2016 (Online) 10th April Morning Slot
A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t i...
JEE Main 2016 (Online) 10th April Morning Slot
A car of weight W is on an inclined road that rises by 100 m over a distance of 1 km and applies a constant frictional f...
JEE Main 2016 (Online) 9th April Morning Slot
A point particle of mass $$m,$$ moves long the uniformly rough track $$PQR$$ as shown in the figure. The coefficient of ...
JEE Main 2016 (Offline)
A person trying to lose weight by burning fat lifts a mass of $$10$$ $$kg$$ upto a height of $$1$$ $$m$$ $$1000$$ times....
JEE Main 2016 (Offline)
When a rubber-band is stretched by a distance $$x$$, it exerts restoring force of magnitude $$F = ax + b{x^2}$$ where $$... JEE Main 2014 (Offline) This question has Statement$$1$$and Statement$$2.$$Of the four choices given after the Statements, choose the one th... AIEEE 2012 The potential energy function for the force between two atoms in a diatomic molecule is approximately given by$$U\left(...
AIEEE 2010
A block of mass $$0.50$$ $$kg$$ is moving with a speed of $$2.00$$ $$m{s^{ - 1}}$$ on a smooth surface. It strike anothe...
AIEEE 2008
An athlete in the olympic games covers a distance of $$100$$ $$m$$ in $$10$$ $$s.$$ His kinetic energy can be estimated ...
AIEEE 2008
A $$2$$ $$kg$$ block slides on a horizontal floor with a speed of $$4m/s.$$ It strikes a uncompressed spring, and compre...
AIEEE 2007
The potential energy of a $$1$$ $$kg$$ particle free to move along the $$x$$-axis is given by $$V\left( x \right) = \lef... AIEEE 2006 A particle of mass$$100g$$is thrown vertically upwards with a speed of$$5m/s$$. The work done by the force of gr... AIEEE 2006 A ball of mass$$0.2kg$$is thrown vertically upwards by applying a force by hand. If the hand moves$$0.2m$$... AIEEE 2006 A mass of$$Mkg$$is suspended by a weightless string. The horizontal force that is required to displace it until t... AIEEE 2006 The block of mass$$M$$moving on the frictionless horizontal surface collides with the spring of spring constant$$k$$... AIEEE 2005 A body of mass$$m$$is accelerated uniformly from rest to a speed$$v$$in a time$$T.$$The instantaneous power delive... AIEEE 2005 A spherical ball of mass$$20kg$$is stationary at the top of a hill of height$$100m$$. It rolls down a smoo... AIEEE 2005 The upper half of an inclined plane with inclination$$\phi $$is perfectly smooth while the lower half is rough. A body... AIEEE 2005 A bullet fired into a fixed target loses half of its velocity after penetrating$$3cm.$$How much further it will p... AIEEE 2005 A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle,... AIEEE 2004 A body of mass$$' m ',$$acceleration uniformly from rest to$$'{v_1}'$$in time$${T}$$. The instantaneous power deliv... AIEEE 2004 A force$$\overrightarrow F = \left( {5\overrightarrow i + 3\overrightarrow j + 2\overrightarrow k } \right)N$$is ap... AIEEE 2004 A uniform chain of length$$2m$$is kept on a table such that a length of$$60cm$$hangs freely from the edge ... AIEEE 2004 A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for an... AIEEE 2004 A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ... AIEEE 2003 A spring of spring constant$$5 \times {10^3}\,N/m$$is stretched initially by$$5cm$$from the unstretched positio... AIEEE 2003 A wire suspended vertically from one of its ends is stretched by attaching a weight of$$200N$$to the lower end. The we... AIEEE 2003 Consider the following two statements:$$A.\,\,\,\,\,\,$$Linear momentum of a system of particles is zero$$B....
AIEEE 2003
A spring of force constant $$800$$ $$N/m$$ has an extension of $$5$$ $$cm.$$ The work done in extending it from $$5$$ $$... AIEEE 2002 If a body looses half of its velocity on penetrating$$3cm in a wooden block, then how much will it penetrate mor...
AIEEE 2002

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12