# Circular Motion · Physics · JEE Main

Start Practice## MCQ (Single Correct Answer)

JEE Main 2024 (Online) 8th April Morning Shift

A clock has $$75 \mathrm{~cm}, 60 \mathrm{~cm}$$ long second hand and minute hand respectively. In 30 minutes duration the tip of second hand will tra...

JEE Main 2024 (Online) 6th April Evening Shift

A car of $$800 \mathrm{~kg}$$ is taking turn on a banked road of radius $$300 \mathrm{~m}$$ and angle of banking $$30^{\circ}$$. If coefficient of sta...

JEE Main 2024 (Online) 5th April Evening Shift

A man carrying a monkey on his shoulder does cycling smoothly on a circular track of radius $$9 \mathrm{~m}$$ and completes 120 resolutions in 3 minut...

JEE Main 2024 (Online) 4th April Evening Shift

A cyclist starts from the point $$P$$ of a circular ground of radius $$2 \mathrm{~km}$$ and travels along its circumference to the point $$\mathrm{S}$...

JEE Main 2024 (Online) 1st February Morning Shift

A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizontal circular path about its ver...

JEE Main 2024 (Online) 1st February Morning Shift

A particle moving in a circle of radius $\mathrm{R}$ with uniform speed takes time $\mathrm{T}$ to complete one revolution.
If this particle is projec...

JEE Main 2024 (Online) 31st January Morning Shift

A coin is placed on a disc. The coefficient of friction between the coin and the disc is $$\mu$$. If the distance of the coin from the center of the d...

JEE Main 2024 (Online) 29th January Evening Shift

A stone of mass $$900 \mathrm{~g}$$ is tied to a string and moved in a vertical circle of radius $$1 \mathrm{~m}$$ making $$10 \mathrm{~rpm}$$. The te...

JEE Main 2024 (Online) 29th January Morning Shift

If the radius of curvature of the path of two particles of same mass are in the ratio $$3: 4$$, then in order to have constant centripetal force, thei...

JEE Main 2024 (Online) 27th January Morning Shift

A train is moving with a speed of $$12 \mathrm{~m} / \mathrm{s}$$ on rails which are $$1.5 \mathrm{~m}$$ apart. To negotiate a curve radius $$400 \mat...

JEE Main 2023 (Online) 13th April Evening Shift

A vehicle of mass $$200 \mathrm{~kg}$$ is moving along a levelled curved road of radius $$70 \mathrm{~m}$$ with angular velocity of $$0.2 ~\mathrm{rad...

JEE Main 2023 (Online) 11th April Morning Shift

A coin placed on a rotating table just slips when it is placed at a distance of $$1 \mathrm{~cm}$$ from the center. If the angular velocity of the tab...

JEE Main 2023 (Online) 6th April Evening Shift

As shown in the figure, a particle is moving with constant speed $$\pi ~\mathrm{m} / \mathrm{s}$$. Considering its motion from $$\mathrm{A}$$ to $$\ma...

JEE Main 2023 (Online) 6th April Evening Shift

A child of mass $$5 \mathrm{~kg}$$ is going round a merry-go-round that makes 1 rotation in $$3.14 \mathrm{~s}$$. The radius of the merry-go-round is ...

JEE Main 2023 (Online) 6th April Morning Shift

A particle is moving with constant speed in a circular path. When the particle turns by an angle $$90^{\circ}$$, the ratio of instantaneous velocity t...

JEE Main 2023 (Online) 6th April Morning Shift

A small block of mass $$100 \mathrm{~g}$$ is tied to a spring of spring constant $$7.5 \mathrm{~N} / \mathrm{m}$$ and length $$20 \mathrm{~cm}$$. The ...

JEE Main 2023 (Online) 31st January Evening Shift

A stone of mass $1 \mathrm{~kg}$ is tied to end of a massless string of length $1 \mathrm{~m}$. If the breaking tension of the string is $400 \mathrm{...

JEE Main 2023 (Online) 31st January Evening Shift

A body is moving with constant speed, in a circle of radius $10 \mathrm{~m}$. The body completes one revolution in $4 \mathrm{~s}$. At the end of 3rd ...

JEE Main 2023 (Online) 29th January Evening Shift

An object moves at a constant speed along a circular path in a horizontal plane with center at the origin. When the object is at $$x=+2~\mathrm{m}$$, ...

JEE Main 2023 (Online) 29th January Morning Shift

A car is moving on a horizontal curved road with radius 50 m. The approximate maximum speed of car will be, if friction between tyres and road is 0.34...

JEE Main 2023 (Online) 25th January Morning Shift

A car is moving with a constant speed of 20 m/s in a circular horizontal track of radius 40 m. A bob is suspended from the roof of the car by a massle...

JEE Main 2023 (Online) 24th January Evening Shift

A body of mass 200g is tied to a spring of spring constant 12.5 N/m, while the other end of spring is fixed at point O. If the body moves about O in a...

JEE Main 2022 (Online) 29th July Morning Shift

A smooth circular groove has a smooth vertical wall as shown in figure. A block of mass m moves against the wall with a speed v. Which of the followin...

JEE Main 2022 (Online) 25th July Morning Shift

A person moved from A to B on a circular path as shown in figure. If the distance travelled by him is $$60 \mathrm{~m}$$, then the magnitude of displa...

JEE Main 2022 (Online) 28th June Morning Shift

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration (a) is varying with time t as a = k2rt2,...

JEE Main 2022 (Online) 27th June Evening Shift

A stone tide to a spring of length L is whirled in a vertical circle with the other end of the spring at the centre. At a certain instant of time, the...

JEE Main 2022 (Online) 26th June Morning Shift

A ball is released from rest from point P of a smooth semi-spherical vessel as shown in figure. The ratio of the centripetal force and normal reaction...

JEE Main 2022 (Online) 25th June Evening Shift

A disc with a flat small bottom beaker placed on it at a distance R from its center is revolving about an axis passing through the center and perpendi...

JEE Main 2022 (Online) 25th June Evening Shift

For a particle in uniform circular motion, the acceleration $$\overrightarrow a $$ at any point P(R, $$\theta$$) on the circular path of radius R is (...

JEE Main 2022 (Online) 24th June Evening Shift

A stone of mass m, tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

JEE Main 2022 (Online) 24th June Evening Shift

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, w...

JEE Main 2022 (Online) 24th June Morning Shift

A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tens...

JEE Main 2021 (Online) 27th August Morning Shift

A huge circular arc of length 4.4 ly subtends an angle '4s' at the centre of the circle. How long it would take for a body to complete 4 revolution if...

JEE Main 2021 (Online) 26th August Evening Shift

A particle of mass m is suspended from a ceiling through a string of length L. The particle moves in a horizontal circle of radius r such that $$r = {...

JEE Main 2021 (Online) 20th July Morning Shift

The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30$$^\circ$$ banked road at maximum possible speed without skidding is _...

JEE Main 2021 (Online) 18th March Evening Shift

A particle of mass m moves in a circular orbit under the central potential field, $$U(r) = - {C \over r}$$, where C is a positive constant. The corre...

JEE Main 2021 (Online) 17th March Morning Shift

A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. If the coefficient of static fr...

JEE Main 2021 (Online) 16th March Evening Shift

Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh$$-$$1 and takes a sharp circular turn along a path of radius of 2m without...

JEE Main 2021 (Online) 16th March Morning Shift

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to...

JEE Main 2021 (Online) 26th February Morning Shift

A particle is moving with uniform speed along the circumference of a circle of radius R under the action of a central fictitious force F which is inve...

JEE Main 2020 (Online) 6th September Morning Slot

A clock has a continuously moving second's hand of 0.1 m length. The average acceleration of the
tip of the hand (in units of ms–2) is of the order of...

JEE Main 2020 (Online) 2nd September Morning Slot

A bead of mass m stays at point P(a, b) on a
wire bent in the shape of a parabola y = 4Cx2
and rotating with angular speed $$\omega $$ (see figure).
T...

JEE Main 2020 (Online) 8th January Morning Slot

A particle of mass m is fixed to one end of a
light spring having force constant k and
unstretched length $$\ell $$. The other end is fixed. The
syste...

JEE Main 2019 (Online) 12th April Evening Slot

A smooth wire of length 2$$\pi $$r is bent into a circle and kept in a vertical plane. A bead can slide smoothly on
the wire. When the circle is rotat...

JEE Main 2019 (Online) 11th January Morning Slot

A particle is moving along a circular path with a constant speed of 10 ms–1. What is the magnitude of the change in velocity of the particle, when it ...

JEE Main 2019 (Online) 11th January Morning Slot

A body is projected at t = 0 with a velocity 10 ms–1
at an angle of 60o with the horizontal. The radius of curvature of its trajectory at t = 1s is R...

JEE Main 2018 (Online) 15th April Evening Slot

A disc rotates about its axis of symmetry in a horizontal plane at a steady rate of $$3.5$$ revolutions per second. A coin placed at a distnce of 1.25...

JEE Main 2017 (Online) 9th April Morning Slot

A conical pendulum of length 1 m makes an angle $$\theta $$ = 45o w.r.t. Z-axis and moves in a circle in the XY plane. The radius of the circle is 0.4...

AIEEE 2012

Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they make complete circles in the same...

AIEEE 2010

For a particle in uniform circular motion the acceleration $$\overrightarrow a $$ at a point P(R, θ) on the circle of radius R is (here θ is measured ...

AIEEE 2010

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 lengt...

AIEEE 2004

Which of the following statements is FALSE for a particle moving in a circle with a constant
angular speed?

AIEEE 2002

The minimum velocity (in $$m{s^{ - 1}}$$) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction $$0.6$$ to av...

## Numerical

JEE Main 2024 (Online) 29th January Evening Shift

A particle is moving in a circle of radius $$50 \mathrm{~cm}$$ in such a way that at any instant the normal and tangential components of it's accelera...

JEE Main 2023 (Online) 30th January Evening Shift

A stone tied to $180 \mathrm{~cm}$ long string at its end is making 28 revolutions in horizontal circle in every minute. The magnitude of acceleration...

JEE Main 2023 (Online) 29th January Evening Shift

A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The...

JEE Main 2022 (Online) 30th June Morning Shift

A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown in the figure. The radius of ...

JEE Main 2022 (Online) 27th June Morning Shift

A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet e...

JEE Main 2022 (Online) 25th June Evening Shift

A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved ro...

JEE Main 2021 (Online) 25th February Morning Shift

A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are i...