Q JEE MAIN 2026

A uniform disc of radius $R$ and mass $M$ is free to oscillate about the axis $A$ as shown in...

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The frequency of oscillation of a mass $m$ suspended by a spring is $v_1$. If the length of the spring...

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A spring stretches by 2 mm when it is loaded with a mass of 200 g . From equilibrium position...

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Q JEE MAIN_2026

A particle is executing simple harmonic motion. Its amplitude is A and time period is 5 sec. The time required...

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Q JEE MAIN_2026

Match List - I with List - II. Choose the correct answer from the options given below :

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The velocity of a particle executing simple harmonic motion along $x$-axis is described as $v^2=50-x^2$, where x represents displacement. If...

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The equation of motion of a particle is given by $x=a \sin (50 t+\pi / 3) \mathrm{cm}$. The particle will...

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The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of $...

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Q JEE MAIN 2026

The displacement of a particle, executing simple harmonic motion with time period $T$, is expressed as $x(t)=A \sin \omega t$,...

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Q JEE MAIN 2026

A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$...

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Q JEE MAIN 2026

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as...

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Using a simple pendulum experiment $g$ is determined by measuring its time period $T$. Which of the following plots represent...

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Q JEE MAIN 2020

The displacement time graph of a particle executing S.H.M is given in figure (sketch is schematic and not to scale)...

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Q JEE MAIN 2019

A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations;...

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Q JEE-MAIN 2019

A simple pendulum, made of a string of length $I$ and a bob of mass $m$, is released from a...

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Q JEE-MAIN 2019

Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod...

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Q JEE MAIN_2019

The displacement of a damped harmonic oscillator is given by $x(t)=e^{-0.1 t} \cos (10 \pi t+\phi)$. Here $t$ is in...

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Q JEE MAIN 2019

A simple harmonic motion is represented by: $$ y=5(\sin 3 \pi t+\sqrt{3} \cos 3 \pi t) c m $$ The...

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Q JEE MAIN 2020

When a particle of mass $m$ is attached to a vertical spring of spring constant $k$ and released, its motion...

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Q JEE MAIN 2019

A particle undergoing simple harmonic motion has time dependent displacement given by $x(t)=A \sin \frac{\pi t}{90}$ The ratio of kinetic...

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Q JEE-MAIN 2020

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a...

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Q JEE MAIN 2019

A simple pendulum of length L is placed between the plates of a parallel plate capacitor having electric field E,...

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Q JEE MAIN 2019

A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations;...

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Q JEE MAIN 2019

A pendulum is executing simple harmonic motion and its maximum kinetic energy is $\mathrm{K}_1$. If the length of the pendulum...

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Q JEE MAIN 2020

A spring mass system (mass $m$, spring constant $k$ and natural length I) rests in equilibrium on a horizontal disc....

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Q JEE MAIN 2019

A simple pendulum of length 1 m is oscillating with an angular frequency $10 \mathrm{rad} / \mathrm{s}$. The support of...

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Q JEE MAIN 2019

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous...

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Q JEE MAIN 2019

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its...

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Q JEE-MAIN 2020

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless...

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Q JEE MAIN 2020

A simple pendulum is being used to determine the value of gravitational acceleration g at a certain place. The length...

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Q JEE MAIN 2019

A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from...

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Q JEE MAIN 2021

For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential and kinetic...

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Q JEE MAIN 2021

A particle of mass 1 kg is hanging from a spring of force constant $100 \mathrm{Nm}^{-1}$. The mass is pulled...

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Q JEE MAIN 2021

For a body executing S.H.M. : (a) Potential energy is always equal to its K.E. (b) Average potential and kinetic...

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Q JEE MAIN 2019

A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond...

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Q JEE-MAIN 2021

Two simple harmonic motion, are represented by the equations $y_1=10 \sin \left(3 \pi t+\frac{\pi}{3}\right)$ $$ y_2=5(\sin 3 \pi t+\sqrt{3} \cos...

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Q JEE-MAIN 2021

Two simple harmonic motions are represented by the equations $x_1=5 \sin \left(2 \pi t+\frac{\pi}{4}\right)$ and $...

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Q JEE-MAIN 2021

The acceleration due to gravity is found upto an accuracy of 4% on a planet. The energy supplied to a...

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Q JEE-MAIN 2021

If the length of the pendulum in pendulum clock increases by 0.1%, then the error in time per day is:

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Q JEE MAIN 2021

A particle executes simple harmonic motion represented by displacement function as $x(t)=A \sin (\omega t+\varphi)$ If the position and velocity...

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Q JEE-MAIN 2021

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed...

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Q JEE MAIN 2021

An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T)...

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Q JEE-MAIN 2021

In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the...

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Q JEE MAIN 2021

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the...

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Q JEE MAIN 2021

In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the...

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Q JEE MAIN 2021

An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period $(\mathrm{T})$...

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Q JEE MAIN 2021

A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and total energy E. At any instant, its kinetic...

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Q JEE MAIN 2021

To is the time period of a simple pendulum at a place. If the length of the pendulum is reduced...

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Q JEE MAIN 2019

A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for...

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Q JEE MAIN 2021

A mass of 5 kg is connected to a spring. The potential energy curve of the simple harmonic motion executed...

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Q JEE MAIN 2021

A particle is making simple harmonic motion along the X -axis. If at a distances $\mathrm{X}_1$ and $\mathrm{X}_2$ from the...

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Q JEE MAIN 2021

The function of time representing a simple harmonic motion with a period of $\frac{\pi}{\omega}$ is :

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Two particles A and B of equal masses are suspended from two massless springs of spring constants $K_1$ and $K_2$...

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Q JEE MAIN 2021

Amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass = 500g, Decay constant...

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Q JEE Main 2019

A block of mass m, lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of...

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Q JEE-MAIN 2021

A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12...

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Consider two identical springs each of spring constant k and negligible mass compared to the mass $M$ as shown. Fig....

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Q JEE_MAIN_2021

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

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Q JEE MAIN 2021

A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover...

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The time period of a pendulum is given by $\mathrm{T}=2 \pi \sqrt{\frac{l}{g}}$. The measured value of the length of pendulum...

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Q JEE MAIN 2021

Time period of a simple pendulum is $T$. The time taken to complete $5 / 8$ oscillations starting from mean...

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Q JEE MAIN 2021

A particle executes S.H.M. with amplitude ' $a$ ' and time period $V$. The displacement of the particle when its...

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Q JEE MAIN 2021

The point A moves with a uniform speed along the circumference of a circle of radius 0.36 m and covers...

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Q JEE MAIN 2021

Time period of a simple pendulum is $T$ inside a lift when the lift is stationary. If the lift moves...

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Q JEE MAIN 2021

A conducting wire of length 'l', area of cross-section A and electric resistivity $\rho$ is connected between the terminals of...

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Q JEE MAIN 2021

Given below are two statements Statement I : A second's pendulum has a time period of 1 second. Statement II...

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Q JEE MAIN 2021

$\mathrm{Y}=\mathrm{A} \sin \left(\omega \mathrm{t}+\varphi_0\right)$ is the time-displacement equation of a SHM. At $t=0$ the displacement of the particle is $Y=\frac{A}{2}$...

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Q JEE MAIN 2021

Two identical springs of spring constant '2k' are attached to a block of mass m and to fixed support (see...

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Q JEE MAIN 2021

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to...

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Q JEE MAIN 2021

If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the...

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Q JEE MAIN 2021

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane....

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Q JEE MAIN 2021

When a particle executes SHM, the nature of graphical representation of velocity as a function of displacement is :

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Q JEE-MAIN 2022

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant...

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Q JEE MAIN 2022

The potential energy of a particle of mass 4 kg in motion along the $x$-axis is given by $...

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Q JEE MAIN 2022

A mass 0.9 kg , attached to a horizontal spring, executes SHM with an amplitude $\mathrm{A}_1$. When this mass passes...

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Q JEE MAIN 2022

The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which...

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Q JEE MAIN 2022

When a particle executes simple Harmonic motion, the nature of graph of velocity as function of displacement will be :

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Q JEE MAIN 2022

In figure (A), mass ' 2 m ' is fixed on mass ' m ' which is attached to two...

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Q JEE MAIN 2022

A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6s. The time it will...

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The motion of a simple pendulum excuting S.H.M. is represented by following equation. Y = A sin $(\pi \mathrm{t}+\phi)$, where...

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The equation of a particle executing simple harmonic motion is given by $x=\sin \pi\left(t+\frac{1}{3}\right) m$ At t = 1s, the...

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Q JEE MAIN 2022

Two massless springs with spring constants 2 k and 2 k, carry 50 g and 100 g masses at their...

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Q JEE MAIN 2022

A body is performing simple harmonic with an amplitude of 10 cm . The velocity of the body was tripled...

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The displacement of simple harmonic oscillator after 3 seconds starting from its mean position is equal to half of its...

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A pendulum is suspended by a string of length 250 cm . The mass of the bob of the pendulum...

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A simple harmonic oscillator has an amplitude A and time period $6 \pi$ second. Assuming the oscillation starts from its...

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The time period of simple harmonic motion of mass M in the given figure is $\pi \sqrt{\frac{\alpha M}{5 K}}$, where...

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Q JEE MAIN 2024

A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency $f_1$. The...

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A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius...

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Q JEE MAIN 2023

A block of mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block...

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Q JEE MAIN 2023

A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1...

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For a periodic motion represented by the equation $Y=\sin \omega t+\cos \omega t$ The amplitude of the motion is

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A particle executes SHM of amplitude A. The distance from the mean position when its's kinetic energy becomes equal to...

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The velocity of a particle executing SHM varies with displacement (x) as $4 v^2=50-x^2$.. The time period of oscillations is...

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A particle of mass 250 g executes a simple harmonic motion under a periodic force F = (–25 x) N....

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A particle executes simple harmonic motion between x = –A and$x=+A$. If time taken by particle to go from$x=0$ to...

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Q JEE MAIN 2023

The isomeric deuterated bromide with molecular formula C4H8DBr having two chiral carbon atoms is

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The energy levels of an atom is shown is figure. Which one of these transitions will result in the emission...

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A block is fastened to a horizontal spring. The block is pulled to a distance $x=10 \mathrm{~cm}$ from its equilibrium...

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A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass...

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

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Choose the correct length $(\mathrm{L})$ versus square of time period $\left(\mathrm{T}^2\right)$ graph for a simple pendulum executing simple harmonic motion.

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At a given point of time the value of displacement of a simple harmonic oscillator is given as $...

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Q JEE MAIN 2023

Which graph represents the difference between total energy and potential energy of a particle executing SHM Vs it’s distance from...

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A particle executes S.H.M. of amplitude A along x-axis. At t = 0, the position of the particle is and...

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A particle is executing Simple Harmonic Motion (SHM). The ratio of potential energy and kinetic energy of the particle when...

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The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean...

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In a linear simple harmonic motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and...

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A mass m is attached to two springs as shown in figure. The spring constants of two springs are $\mathrm{K}_1$...

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The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25%...

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The general displacement of a simple harmonic oscillator is $x=A \sin \omega t$. Let $J$ be its time period. The...

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Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the...

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In the figure given below, a block of mass $\mathrm{M}=490 \mathrm{~g}$ placed on a frictionless table is connected with two...

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The maximum potential energy of a block executing simple harmonic motion is 25 J .A is amplitude of oscillation. At...

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T is the time period of simple pendulum on the earth's surface. Its time period becomes x T when taken...

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A particle performs simple harmonic motion with amplitude A. Its speed is increased to three times at an instant when...

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A particle is doing simple harmonic motion of amplitude 0.06 m and time period 3.14 s. The maximum velocity of...

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A simple pendulum doing small oscillations at a place R height above earth surface has time period of T_1=4" "...

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Q JEE MAIN 2024

When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to...

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A particle executes simple harmonic motion with an amplitude of 4 cm . At the mean position, velocity of the...

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Q JEE MAIN 2025

Two bodies A and B of equal mass are suspended from two massless springs of spring constant $k_{1}$ and $\mathrm{k}_{2}$,...

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Q JEE MAIN 2025

Two simple pendulums having lengths ${l_1}$ and ${l_2}$ with negligible string mass undergo angular displacements ${\theta _1}$ and ${\theta _2}$,...

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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

Two blocks of masses m and $M,(M > m)$, are placed on a frictionless table as shown in figure. A...

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Q JEE MAIN 2025

A particle oscillates along the $x$-axis according to the law, $x(\mathrm{t})=x_{0} \sin ^{2}\left(\frac{\mathrm{t}}{2}\right)$ where $x_{0}=1 \mathrm{~m}$. The kinetic energy (...

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Q JEE MAIN 2025

A particle is subjected to two simple harmonic motions as: ${x_1} = \sqrt 7 \sin 5tcm$ and $...

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A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm. If D and d...

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