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Simple Harmonic Motion — JEE Main & Advanced Physics PYQs

145 previous year questions from Simple Harmonic Motion with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

145 questionsPhysicsSolutions on every page
1

At a specific instant, the magnitudes of the position, velocity, and acceleration of a particle undergoing simple harmonic motion are observed to be 2 cm , 1 m/s , and 10 m/s ^2 ,

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For a particle executing simple harmonic motion, the maximum speed and acceleration are 10 cm/s and 50 cm/s ^2 , respectively. Determine the position(s) of the particle when its sp

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A particle having a mass of 10 g oscillates according to the equation x = (2.0 cm ) [(100 s ⁻¹) t + /6] . Determine the amplitude, the time period, and the spring constant for this

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A particle undergoes simple harmonic motion having an amplitude of 10 cm . At what distance from the mean position will its kinetic and potential energies be equal?

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A particle executes simple harmonic motion with an amplitude of 10 cm and a time period of 6 s . At t = 0 , it is located at x = 5 cm and is moving towards the positive x-direction

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A particle having a mass of 10 g oscillates according to the equation x = (2.0 cm ) [(100 s ⁻¹) t + /6] . Determine the position, the velocity, and the acceleration of the particle

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A particle begins its motion at t = 0 according to the equation x = 5 (20 t + /3) , where x is in centimetre and t is in second. At what time will the particle first have zero acce

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A particle starts moving at t = 0 with its position given by the equation x = 5 (20 t + /3) , where x is in centimetre and t is in second. Determine the time when the particle firs

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A particle starts its motion at t = 0 and its position is given by the equation x = 5 (20 t + /3) , where x is in centimetre and t is in second. Find the time at which the particle

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A particle travels in simple harmonic motion described by the equation x = 2.0 (50 t + ⁻¹ 0.75) , where x is in centimetres and t is in seconds. The motion is initiated at t = 0 .

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A particle travels in simple harmonic motion described by the equation x = 2.0 (50 t + ⁻¹ 0.75) , where x is in centimetres and t is in seconds. The motion is initiated at t = 0 .

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A particle travels in simple harmonic motion described by the equation x = 2.0 (50 t + ⁻¹ 0.75) , where x is in centimetres and t is in seconds. The motion is initiated at t = 0 .

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For a simple harmonic motion with a time period T , determine the time required for the displacement to increase from half the amplitude to the full amplitude.

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A clock's pendulum is replaced by a spring-mass system featuring a spring with a spring constant of 0.1 N/m . Determine the mass that should be attached to the spring.

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A block suspended from a vertical spring is in equilibrium, producing an extension x in the spring. Determine the length of an equivalent simple pendulum (i.e., a pendulum having t

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Suspended from a vertical spring, a block of mass 0.5 kg undergoes simple harmonic motion with an amplitude of 0.1 m and a time period of 0.314 s . Determine the maximum force exer

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A body of mass 2 kg suspended from a vertical spring undergoes simple harmonic motion with a period of 4 s . If the oscillations are halted and the body hangs in equilibrium, deter

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When stretched by 25 cm , a spring stores 5 J of energy. It is positioned vertically with its lower end fixed. A block secured to the opposite end is made to undergo small oscillat

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A small block of mass m is placed on a bigger block of mass M that is attached to a vertical spring of spring constant k . The system oscillates vertically. Determine the maximum a

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A small block of mass m is placed on a bigger block of mass M that is attached to a vertical spring of spring constant k . The system oscillates vertically. Find the normal force o

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A small block of mass m is placed on a bigger block of mass M that is attached to a vertical spring of spring constant k . The system oscillates vertically. Determine the maximum a

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As illustrated in the figure, a block of mass m₁ is fastened to a spring on an incline of angle , and a block of mass m₂ is placed against it. Determine the compression of the spri

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A block of mass m₁ is fastened to a spring on an incline of angle , and a block of mass m₂ is placed against it. From the equilibrium position, the blocks are pushed a further dist

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A block of mass m₁ is fastened to a spring on an incline of angle , and a block of mass m₂ is placed against it. The blocks are pushed from equilibrium by a further distance of (2/

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 25

As shown in the figure, a spring with constant k = 100 N/m is attached to a block of mass M = 1 kg . A constant force F = 10 N acts on the block. While the block is in its equilibr

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Determine the time period of the oscillation of mass m and the equivalent spring constant of the pair of springs for the rightmost arrangement shown in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 27

Determine the time period of the oscillation of mass m and the equivalent spring constant of the pair of springs for the rightmost arrangement shown in the figure.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 28

Determine the time period of the oscillation of mass m and the equivalent spring constant of the pair of springs for the rightmost arrangement shown in the figure.

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As shown in the figure, the spring is unstretched when a man begins pulling on the cord. The mass of the block is M . Provided the man exerts a constant force F , determine the amp

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 30

The spring is unstretched at the moment a man starts pulling on the cord. The block has a mass M . If the man applies a constant force F , calculate the energy stored in the spring

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A man starts pulling on the cord when the spring is in its unstretched state. The block has a mass of M . Given that the man exerts a constant force F , determine the kinetic energ

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A particle of mass m is connected to three springs A , B , and C having equal force constants k , as shown in the figure. If the particle is pushed slightly against spring C and th

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 33

Three springs A , B , and C , each having a force constant k , are attached to a particle of mass m . Initially, the angle between any two springs is 120^ . If the particle is slig

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 34

Initially, all the springs displayed in the figure are unstretched when a man begins pulling the block. The man applies a constant force F to the block. Determine the amplitude and

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 35

Determine the elastic potential energy stored in each spring shown in the figure when the block is in equilibrium. Additionally, determine the time period of vertical oscillation o

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 36

Determine the time period of the mass m , assuming the string, spring, and pulley shown in the figure are light.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 37

The string and the spring depicted in the figure are light. Determine the time period of the mass m , assuming the pulley has a radius r and a moment of inertia I about its axis, a

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 38

As illustrated in the figure, a rectangular plate with sides a and b hangs from a ceiling via two parallel strings, each having a length L . The distance separating the strings is

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Observe the setup shown in the figure. The blocks are given slight displacements in opposite directions and then released, causing them to execute simple harmonic motion. Calculate

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 40

A 1 kg block executes simple harmonic motion with an amplitude of 0.1 m on a smooth horizontal surface, driven by the restoring force of a spring having a spring constant of 100 N/

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As shown in the figure, the left block travels at a speed v towards the right block, which is placed in equilibrium. All collisions that occur are elastic and the surfaces are fric

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 42

Determine the time period of the particle's motion as depicted in the figure. Disregard the minor effect of the bend near the bottom.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 43

Assume all surfaces depicted in the diagram lack friction. The car has a mass M , the block has a mass m , and the spring possesses a force constant k . The system is released from

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 44

Assume all surfaces depicted in the diagram lack friction. The car has a mass M , the block has a mass m , and the spring possesses a force constant k . The system is released from

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 45

A uniform plate of mass M rests horizontally and symmetrically on two wheels that rotate in opposite directions, as shown in the figure. The distance between the wheels is L , and

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 46

A seconds pendulum is a pendulum having a time period equal to two seconds. These are the type utilized in pendulum clocks. Calculate the length of a seconds pendulum at a location

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 47

The angle that the string of a simple pendulum makes with the vertical varies with time according to the equation = 90 [( s ⁻¹) t] . Determine the length of the pendulum, taking g

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 48

A certain clock's pendulum has a time period of 2.04 s . How fast or slow will the clock run over a 24 -hour period?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 49

A pendulum clock that gives correct time at a location where g = 9.800 m/s ^2 is transported to a new location, where it is observed to lose 24 seconds over a period of 24 hours. D

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 50

A heavy ball is hung by a 5.0 m long string to construct a simple pendulum. It executes small oscillations. How many oscillations does it complete per second? (Assume standard acce

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A heavy ball is hung by a 5.0 m long string to construct a simple pendulum. It executes small oscillations. Determine the frequency if the setup is moved to the moon, where the acc

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In the string of an oscillating pendulum, the maximum tension is double the minimum tension. Determine the angular amplitude.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 53

As illustrated in the figure, a small block undergoes back-and-forth oscillations on a smooth concave surface of radius R . Determine the time period for small oscillations.

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A spherical ball of mass m and radius r rolls without slipping on a rough concave surface possessing a large radius R . It executes small oscillations about the lowest point. Deter

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 55

A simple pendulum measuring 40 cm in length is placed inside a deep mine. Assuming the mine's depth to be 1600 km , determine the time period of the pendulum at that location. The

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 56

Suppose a tunnel is excavated across the earth (radius = R ) passing through its centre. Calculate the time a particle takes to traverse the length of the tunnel if it is projected

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Suppose a tunnel is excavated across the earth (radius = R ) passing through its centre. Calculate the time a particle takes to traverse the length of the tunnel if it is released

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Suppose a tunnel is excavated across the earth (radius = R ) passing through its centre. Calculate the time a particle takes to traverse the length of the tunnel if it is thrown ve

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Suppose a tunnel is excavated along a chord of the earth at a perpendicular distance R/2 from the earth's centre, where R is the radius of the earth. The wall of the tunnel is fric

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Suppose a tunnel is excavated along a chord of the earth at a perpendicular distance R/2 from the earth's centre, where R is the radius of the earth. The wall of the tunnel is fric

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Suppose a tunnel is excavated along a chord of the earth at a perpendicular distance R/2 from the earth's centre, where R is the radius of the earth. The wall of the tunnel is fric

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 62

Suppose a tunnel is excavated along a chord of the earth at a perpendicular distance R/2 from the earth's centre, where R is the radius of the earth. The wall of the tunnel is fric

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 63

Suppose a tunnel is excavated along a chord of the earth at a perpendicular distance R/2 from the earth's centre, where R is the radius of the earth. The wall of the tunnel is fric

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A simple pendulum of length l is attached to the ceiling of an elevator. Determine the time period of small oscillations if the elevator is going up with an acceleration a₀ .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 65

A simple pendulum of length l hangs from the ceiling of an elevator. Calculate the time period of small oscillations assuming the elevator is going down with an acceleration a₀ .

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 66

A simple pendulum of length l is suspended from the ceiling of an elevator. Find the time period of small oscillations given that the elevator travels with a uniform velocity.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 67

Suspended from an elevator's ceiling, a simple pendulum of length 1 feet requires /3 seconds to complete one oscillation. Determine the acceleration of the elevator.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 68

A simple pendulum fixed inside a car has a time period of 4 seconds while the car is travelling uniformly on a horizontal road. Upon pressing the accelerator, the time period shift

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 69

A simple pendulum of length l and mass m is suspended from the ceiling of a car travelling with a speed v on a circular horizontal road of radius r . Determine the tension in the s

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A simple pendulum of length l is suspended from the ceiling of a car travelling with a speed v on a circular horizontal road of radius r . Determine the time period of small oscill

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As illustrated in the figure, a lady wears an ear-ring suspended by a light wire of length 3 cm . Determine the time period of small oscillations of the ear-ring when the lady is s

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 72

A lady wears an ear-ring suspended by a light wire of length 3 cm . She sits in a merry-go-round that moves at 4 m/s in a circle of radius 2 m . Determine the time period of small

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 73

Determine the time period of small oscillations for a metre stick that is suspended from its 20 cm mark.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 74

A ring with mass m and radius r is suspended from a point on its periphery. Find the time period of its small oscillations.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 75

A uniform square plate of edge length a is suspended from one of its corners. Calculate the time period of small oscillations for this plate.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 76

Determine the time period of small oscillations for a uniform disc of mass m and radius r that is suspended from a point located at a distance r/2 from its centre.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 77

A uniform rod of length l is suspended from one end and undergoes small oscillations. Determine the length of a simple pendulum that possesses a time period identical to that of th

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A uniform disc of radius r is suspended through a small hole drilled in it. Determine the minimum possible time period of the disc for small oscillations, along with the distance o

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 79

A pendulum is formed by attaching a hollow sphere of radius 2 cm to a thread of length 18 cm . Determine the time period of oscillation of this pendulum. Also, how does this period

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Suspended from a nail in a wall, a closed circular wire experiences small oscillations with an amplitude of 2^ and a time period of 2 s . Calculate the radius of the circular wire.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 81

Suspended from a nail in a wall, a closed circular wire experiences small oscillations with an amplitude of 2^ and a time period of 2 s . Determine the speed of the particle on the

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Suspended from a nail in a wall, a closed circular wire experiences small oscillations with an amplitude of 2^ and a time period of 2 s . Evaluate the acceleration of the particle

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Suspended from a nail in a wall, a closed circular wire experiences small oscillations with an amplitude of 2^ and a time period of 2 s . Compute the acceleration of the particle o

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A uniform disc having mass m and radius r is suspended by a wire attached to its centre. If the time period of torsional oscillations is T , determine the torsional constant of the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 85

Two small balls, each having a mass m , are joined by a light rigid rod of length L . This system is suspended from its centre using a thin wire with a torsional constant k . The r

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 86

A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitude of the first motion is 3.0 cm while that of the second is 4.0 cm

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A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitude of the first motion is 3.0 cm while that of the second is 4.0 cm

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 88

A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitude of the first motion is 3.0 cm while that of the second is 4.0 cm

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 89

Three simple harmonic motions with equal amplitudes A and identical time periods in the same direction are combined. The second motion has a phase 60^ ahead of the first, while the

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 90

A particle undergoes two simple harmonic motions described by x₁ = 2.0 100 t and x₂ = 2.0 (120 t + /3) , with x in centimeter and t in second. Determine the displacement of the par

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 91

A particle undergoes two simple harmonic motions described by x₁ = 2.0 100 t and x₂ = 2.0 (120 t + /3) , with x in centimeter and t in second. Determine the displacement of the par

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 92

A particle undergoes two simple harmonic motions, one along the X-axis and the other along a line at an angle of 45^ to the X-axis. These motions are described by x = x₀ t and s =

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 93

A student claims that he applied a force F = -k x on a particle, resulting in the particle executing simple harmonic motion. He declines to reveal whether k is a constant or not. A

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 94

For a particle executing simple harmonic motion, the time period is equal to the minimum time interval between the particle attaining a specific velocity v . The value of v is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 95

For a particle undergoing simple harmonic motion, the displacement over one time period is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 96

For a particle executing simple harmonic motion, what is the average acceleration over one complete time period?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 97

A particle's motion is described by the equation x = A t + B t . The motion of this particle is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 98

For a particle executing simple harmonic motion, the time period equals the duration between its consecutive appearances at a certain point during its motion. This point is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 99

A particle travels along the X-axis described by the equation x = A + B t . The motion is simple harmonic with an amplitude of

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 100

The distance covered by a particle executing simple harmonic motion in one complete time period is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 101

In simple harmonic motion, the total mechanical energy of a spring-mass system is E = 1 2 m ^2 A^2 . Suppose the oscillating particle is swapped out for another particle having dou

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 102

A particle's displacement is expressed by r = A( i t + j t) . The motion executed by the particle is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 103

A particle undergoes simple harmonic motion at a frequency . The frequency at which its kinetic energy oscillates is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 104

A particle undergoes simple harmonic motion driven by the restoring force of a spring, with a time period of T . If the spring is cut into two equal parts and one part is employed

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 105

Two bodies A and B , having the same mass, are hung from separate massless springs with spring constants k₁ and k₂ , respectively. If these bodies undergo vertical oscillation with

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 106

A spring-mass system oscillates with a frequency . If it is placed inside an elevator that is slowly accelerating upward, its frequency will

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 107

A spring-mass system undergoes oscillation inside a car. If the car accelerates along a horizontal road, the oscillation frequency will

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 108

A pendulum clock that maintains the correct time on the earth is transported to the moon. It will run

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 109

The figure displays two simple harmonic motions. Which parameter has different values in the two motions?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 110

A pendulum clock that keeps accurate time is transported to a high altitude. In this new location,

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 111

A wall clock measures time using a vertical spring-mass system. The clock advances by one second each time the mass reaches an extreme position. At the equator, the clock provides

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 112

In simple harmonic motion, the average energy over one time period is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 113

The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to a height and the pendulum is oscillated. When the bob is at its lowest point, the box is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 114

Choose the correct statements.

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 115

A particle travels along a circular path with a continuously increasing speed. Its motion is classified as

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 116

The motion executed by a torsional pendulum is classified as

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 117

A particle is secured to the end of a string and whirled in a vertical circle while the opposite end of the string remains fixed. The motion of the particle is

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 118

During a simple harmonic motion, which of the following quantities will always be negative?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 119

In a simple harmonic motion, which of the following quantities is always positive?

Concepts Of Physics MCQ Edition [Volume 1] Solution View → 120

In a simple harmonic motion, which of the following quantities are always equal to zero?

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